From 019453d30e34ffcf91a36e8d39db64e568875a91 Mon Sep 17 00:00:00 2001
From: "Steven Paul Sanderson II, MPH" <spsanderson@users.noreply.github.com>
Date: Thu, 30 May 2024 07:52:51 -0400
Subject: [PATCH] update site

---
 docs/404.html                                 |   2 +-
 docs/CODE_OF_CONDUCT.html                     |   2 +-
 docs/CONTRIBUTING.html                        |   2 +-
 docs/LICENSE-text.html                        |   2 +-
 docs/LICENSE.html                             |   2 +-
 docs/articles/getting-started.html            |   2 +-
 docs/articles/index.html                      |   2 +-
 docs/authors.html                             |   6 ++--
 docs/index.html                               |  26 +++++++++---------
 docs/news/index.html                          |  13 +++++----
 docs/pkgdown.yml                              |   2 +-
 docs/reference/bootstrap_density_augment.html |   2 +-
 docs/reference/bootstrap_p_augment.html       |   2 +-
 docs/reference/bootstrap_p_vec.html           |   2 +-
 docs/reference/bootstrap_q_augment.html       |   2 +-
 docs/reference/bootstrap_q_vec.html           |   2 +-
 docs/reference/bootstrap_stat_plot.html       |   2 +-
 docs/reference/bootstrap_unnest_tbl.html      |   2 +-
 docs/reference/cgmean.html                    |   2 +-
 docs/reference/check_duplicate_rows.html      |   2 +-
 docs/reference/chmean.html                    |   2 +-
 docs/reference/ci_hi.html                     |   2 +-
 docs/reference/ci_lo.html                     |   2 +-
 docs/reference/ckurtosis.html                 |   2 +-
 docs/reference/cmean.html                     |   4 +--
 docs/reference/cmedian.html                   |   2 +-
 docs/reference/color_blind.html               |   2 +-
 docs/reference/convert_to_ts.html             |   2 +-
 docs/reference/csd.html                       |   2 +-
 docs/reference/cskewness.html                 |   2 +-
 docs/reference/cvar.html                      |   2 +-
 docs/reference/dist_type_extractor.html       |   2 +-
 .../README-more_than_nine_simulations-1.png   | Bin 15308 -> 15824 bytes
 .../README-more_than_nine_simulations-2.png   | Bin 12797 -> 12939 bytes
 .../README-more_than_nine_simulations-3.png   | Bin 11517 -> 11584 bytes
 .../README-more_than_nine_simulations-4.png   | Bin 14300 -> 13510 bytes
 .../figures/README-plot_density-1.png         | Bin 10097 -> 10206 bytes
 .../figures/README-plot_density-2.png         | Bin 9267 -> 9511 bytes
 .../figures/README-plot_density-3.png         | Bin 9238 -> 9584 bytes
 .../figures/README-plot_density-4.png         | Bin 10002 -> 10574 bytes
 docs/reference/index.html                     |   2 +-
 docs/reference/pipe.html                      |   2 +-
 docs/reference/quantile_normalize.html        |   2 +-
 docs/reference/td_scale_color_colorblind.html |   2 +-
 docs/reference/td_scale_fill_colorblind.html  |   2 +-
 docs/reference/tidy_autoplot.html             |   2 +-
 docs/reference/tidy_bernoulli.html            |   2 +-
 docs/reference/tidy_beta.html                 |   2 +-
 docs/reference/tidy_binomial.html             |   2 +-
 docs/reference/tidy_bootstrap.html            |   2 +-
 docs/reference/tidy_burr.html                 |   2 +-
 docs/reference/tidy_cauchy.html               |   2 +-
 docs/reference/tidy_chisquare.html            |   2 +-
 .../reference/tidy_combine_distributions.html |   2 +-
 docs/reference/tidy_combined_autoplot.html    |   2 +-
 .../tidy_distribution_comparison.html         |   2 +-
 .../tidy_distribution_summary_tbl.html        |   6 ++--
 docs/reference/tidy_empirical.html            |   2 +-
 docs/reference/tidy_exponential.html          |   2 +-
 docs/reference/tidy_f.html                    |   2 +-
 docs/reference/tidy_four_autoplot.html        |   2 +-
 docs/reference/tidy_gamma.html                |   2 +-
 docs/reference/tidy_generalized_beta.html     |   2 +-
 docs/reference/tidy_generalized_pareto.html   |   2 +-
 docs/reference/tidy_geometric.html            |   2 +-
 docs/reference/tidy_hypergeometric.html       |   2 +-
 docs/reference/tidy_inverse_burr.html         |   2 +-
 docs/reference/tidy_inverse_exponential.html  |   2 +-
 docs/reference/tidy_inverse_gamma.html        |   2 +-
 docs/reference/tidy_inverse_normal.html       |   2 +-
 docs/reference/tidy_inverse_pareto.html       |   2 +-
 docs/reference/tidy_inverse_weibull.html      |   2 +-
 docs/reference/tidy_kurtosis_vec.html         |   2 +-
 docs/reference/tidy_logistic.html             |   2 +-
 docs/reference/tidy_lognormal.html            |   2 +-
 docs/reference/tidy_mcmc_sampling.html        |   2 +-
 docs/reference/tidy_mixture_density.html      |   2 +-
 docs/reference/tidy_multi_dist_autoplot.html  |   2 +-
 docs/reference/tidy_multi_single_dist.html    |   2 +-
 docs/reference/tidy_negative_binomial.html    |   2 +-
 docs/reference/tidy_normal.html               |   2 +-
 docs/reference/tidy_paralogistic.html         |   2 +-
 docs/reference/tidy_pareto.html               |   2 +-
 docs/reference/tidy_pareto1.html              |   2 +-
 docs/reference/tidy_poisson.html              |   2 +-
 docs/reference/tidy_random_walk.html          |   2 +-
 docs/reference/tidy_random_walk_autoplot.html |   2 +-
 docs/reference/tidy_range_statistic.html      |   2 +-
 docs/reference/tidy_scale_zero_one_vec.html   |   2 +-
 docs/reference/tidy_skewness_vec.html         |   2 +-
 docs/reference/tidy_stat_tbl.html             |   2 +-
 docs/reference/tidy_t.html                    |   2 +-
 docs/reference/tidy_triangular.html           |   2 +-
 docs/reference/tidy_uniform.html              |   2 +-
 docs/reference/tidy_weibull.html              |   2 +-
 .../tidy_zero_truncated_binomial.html         |   2 +-
 .../tidy_zero_truncated_geometric.html        |   2 +-
 ...tidy_zero_truncated_negative_binomial.html |   2 +-
 .../tidy_zero_truncated_poisson.html          |   2 +-
 docs/reference/tidyeval.html                  |   6 ++--
 docs/reference/triangle_plot.html             |   2 +-
 .../util_bernoulli_param_estimate.html        |   4 +--
 docs/reference/util_bernoulli_stats_tbl.html  |   4 +--
 docs/reference/util_beta_aic.html             |   2 +-
 docs/reference/util_beta_param_estimate.html  |   2 +-
 docs/reference/util_beta_stats_tbl.html       |   4 +--
 docs/reference/util_binomial_aic.html         |   2 +-
 .../util_binomial_param_estimate.html         |   2 +-
 docs/reference/util_binomial_stats_tbl.html   |   4 +--
 docs/reference/util_burr_param_estimate.html  |   4 +--
 docs/reference/util_burr_stats_tbl.html       |   4 +--
 docs/reference/util_cauchy_aic.html           |   2 +-
 .../reference/util_cauchy_param_estimate.html |   2 +-
 docs/reference/util_cauchy_stats_tbl.html     |   4 +--
 docs/reference/util_chisq_aic.html            |   2 +-
 .../util_chisquare_param_estimate.html        |   4 +--
 docs/reference/util_chisquare_stats_tbl.html  |   4 +--
 docs/reference/util_exponential_aic.html      |   2 +-
 .../util_exponential_param_estimate.html      |   4 +--
 .../reference/util_exponential_stats_tbl.html |   4 +--
 docs/reference/util_f_aic.html                |   2 +-
 docs/reference/util_f_param_estimate.html     |   2 +-
 docs/reference/util_f_stats_tbl.html          |   4 +--
 docs/reference/util_gamma_aic.html            |   2 +-
 docs/reference/util_gamma_param_estimate.html |   4 +--
 docs/reference/util_gamma_stats_tbl.html      |   4 +--
 docs/reference/util_generalized_beta_aic.html |   2 +-
 .../util_generalized_beta_param_estimate.html |   2 +-
 .../util_generalized_beta_stats_tbl.html      |   4 +--
 .../util_generalized_pareto_aic.html          |   2 +-
 ...til_generalized_pareto_param_estimate.html |   2 +-
 .../util_generalized_pareto_stats_tbl.html    |   4 +--
 docs/reference/util_geometric_aic.html        |   2 +-
 .../util_geometric_param_estimate.html        |   4 +--
 docs/reference/util_geometric_stats_tbl.html  |   4 +--
 docs/reference/util_hypergeometric_aic.html   |   2 +-
 .../util_hypergeometric_param_estimate.html   |   2 +-
 .../util_hypergeometric_stats_tbl.html        |   4 +--
 docs/reference/util_inverse_burr_aic.html     |   2 +-
 .../util_inverse_burr_param_estimate.html     |   4 +--
 .../util_inverse_burr_stats_tbl.html          |   4 +--
 docs/reference/util_inverse_pareto_aic.html   |   2 +-
 .../util_inverse_pareto_param_estimate.html   |   2 +-
 .../util_inverse_pareto_stats_tbl.html        |   4 +--
 docs/reference/util_inverse_weibull_aic.html  |   2 +-
 .../util_inverse_weibull_param_estimate.html  |   2 +-
 .../util_inverse_weibull_stats_tbl.html       |   4 +--
 docs/reference/util_logistic_aic.html         |   2 +-
 .../util_logistic_param_estimate.html         |   2 +-
 docs/reference/util_logistic_stats_tbl.html   |   4 +--
 docs/reference/util_lognormal_aic.html        |   2 +-
 .../util_lognormal_param_estimate.html        |   4 +--
 docs/reference/util_lognormal_stats_tbl.html  |   4 +--
 .../reference/util_negative_binomial_aic.html |   2 +-
 ...util_negative_binomial_param_estimate.html |   2 +-
 .../util_negative_binomial_stats_tbl.html     |   4 +--
 docs/reference/util_normal_aic.html           |   2 +-
 .../reference/util_normal_param_estimate.html |   2 +-
 docs/reference/util_normal_stats_tbl.html     |   4 +--
 docs/reference/util_paralogistic_aic.html     |   2 +-
 .../util_paralogistic_param_estimate.html     |   2 +-
 .../util_paralogistic_stats_tbl.html          |   4 +--
 docs/reference/util_pareto1_aic.html          |   2 +-
 .../util_pareto1_param_estimate.html          |   2 +-
 docs/reference/util_pareto1_stats_tbl.html    |   4 +--
 docs/reference/util_pareto_aic.html           |   2 +-
 .../reference/util_pareto_param_estimate.html |   4 +--
 docs/reference/util_pareto_stats_tbl.html     |   4 +--
 docs/reference/util_poisson_aic.html          |   2 +-
 .../util_poisson_param_estimate.html          |   2 +-
 docs/reference/util_poisson_stats_tbl.html    |   4 +--
 docs/reference/util_t_aic.html                |   2 +-
 docs/reference/util_t_param_estimate.html     |   2 +-
 docs/reference/util_t_stats_tbl.html          |   4 +--
 docs/reference/util_triangular_aic.html       |   2 +-
 .../util_triangular_param_estimate.html       |   2 +-
 docs/reference/util_triangular_stats_tbl.html |   4 +--
 docs/reference/util_uniform_aic.html          |   2 +-
 .../util_uniform_param_estimate.html          |   2 +-
 docs/reference/util_uniform_stats_tbl.html    |   4 +--
 docs/reference/util_weibull_aic.html          |   2 +-
 .../util_weibull_param_estimate.html          |   2 +-
 docs/reference/util_weibull_stats_tbl.html    |   4 +--
 .../util_zero_truncated_binomial_aic.html     |   2 +-
 ...ero_truncated_binomial_param_estimate.html |   2 +-
 ...til_zero_truncated_binomial_stats_tbl.html |   4 +--
 .../util_zero_truncated_geometric_aic.html    |   2 +-
 ...ro_truncated_geometric_param_estimate.html |   2 +-
 ...il_zero_truncated_geometric_stats_tbl.html |   4 +--
 ..._zero_truncated_negative_binomial_aic.html |   2 +-
 ...ated_negative_binomial_param_estimate.html |   2 +-
 ...truncated_negative_binomial_stats_tbl.html |   4 +--
 .../util_zero_truncated_poisson_aic.html      |   2 +-
 ...zero_truncated_poisson_param_estimate.html |   4 +--
 ...util_zero_truncated_poisson_stats_tbl.html |   4 +--
 docs/search.json                              |   2 +-
 196 files changed, 256 insertions(+), 253 deletions(-)

diff --git a/docs/404.html b/docs/404.html
index aba7aada..0d2a2f4f 100644
--- a/docs/404.html
+++ b/docs/404.html
@@ -31,7 +31,7 @@
     
     <a class="navbar-brand me-2" href="https://www.spsanderson.com/TidyDensity/index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/CODE_OF_CONDUCT.html b/docs/CODE_OF_CONDUCT.html
index f0f4b62d..333c7831 100644
--- a/docs/CODE_OF_CONDUCT.html
+++ b/docs/CODE_OF_CONDUCT.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/CONTRIBUTING.html b/docs/CONTRIBUTING.html
index af99077e..6911c86e 100644
--- a/docs/CONTRIBUTING.html
+++ b/docs/CONTRIBUTING.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/LICENSE-text.html b/docs/LICENSE-text.html
index 1588b48c..dbb21c58 100644
--- a/docs/LICENSE-text.html
+++ b/docs/LICENSE-text.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/LICENSE.html b/docs/LICENSE.html
index 0c4bdcc4..abb9b9ea 100644
--- a/docs/LICENSE.html
+++ b/docs/LICENSE.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/articles/getting-started.html b/docs/articles/getting-started.html
index 2362c9ab..d769ef57 100644
--- a/docs/articles/getting-started.html
+++ b/docs/articles/getting-started.html
@@ -33,7 +33,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/articles/index.html b/docs/articles/index.html
index 913dba41..6e9aa3a1 100644
--- a/docs/articles/index.html
+++ b/docs/articles/index.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/authors.html b/docs/authors.html
index 8673172d..77da5785 100644
--- a/docs/authors.html
+++ b/docs/authors.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -67,13 +67,13 @@ <h2 id="citation">Citation</h2>
 
       <p>Sanderson S (2024).
 <em>TidyDensity: Functions for Tidy Analysis and Generation of Random Data</em>.
-R package version 1.4.0.9000, <a href="https://github.com/spsanderson/TidyDensity" class="external-link">https://github.com/spsanderson/TidyDensity</a>. 
+R package version 1.5.0.9000, <a href="https://github.com/spsanderson/TidyDensity" class="external-link">https://github.com/spsanderson/TidyDensity</a>. 
 </p>
       <pre>@Manual{,
   title = {TidyDensity: Functions for Tidy Analysis and Generation of Random Data},
   author = {Steven Sanderson},
   year = {2024},
-  note = {R package version 1.4.0.9000},
+  note = {R package version 1.5.0.9000},
   url = {https://github.com/spsanderson/TidyDensity},
 }</pre>
     </div>
diff --git a/docs/index.html b/docs/index.html
index a7396f30..a969a31e 100644
--- a/docs/index.html
+++ b/docs/index.html
@@ -33,7 +33,7 @@
     
     <a class="navbar-brand me-2" href="index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -112,18 +112,18 @@ <h2 id="example">Example<a class="anchor" aria-label="anchor" href="#example"></
 <span></span>
 <span><span class="fu"><a href="reference/tidy_normal.html">tidy_normal</a></span><span class="op">(</span><span class="op">)</span></span>
 <span><span class="co">#&gt; # A tibble: 50 × 7</span></span>
-<span><span class="co">#&gt;    sim_number     x      y    dx       dy     p      q</span></span>
-<span><span class="co">#&gt;    &lt;fct&gt;      &lt;int&gt;  &lt;dbl&gt; &lt;dbl&gt;    &lt;dbl&gt; &lt;dbl&gt;  &lt;dbl&gt;</span></span>
-<span><span class="co">#&gt;  1 1              1  0.227 -2.97 0.000238 0.590  0.227</span></span>
-<span><span class="co">#&gt;  2 1              2  1.12  -2.84 0.000640 0.869  1.12 </span></span>
-<span><span class="co">#&gt;  3 1              3  1.26  -2.71 0.00153  0.897  1.26 </span></span>
-<span><span class="co">#&gt;  4 1              4  0.204 -2.58 0.00326  0.581  0.204</span></span>
-<span><span class="co">#&gt;  5 1              5  1.04  -2.44 0.00620  0.852  1.04 </span></span>
-<span><span class="co">#&gt;  6 1              6 -0.180 -2.31 0.0106   0.429 -0.180</span></span>
-<span><span class="co">#&gt;  7 1              7  0.299 -2.18 0.0167   0.618  0.299</span></span>
-<span><span class="co">#&gt;  8 1              8  1.73  -2.04 0.0243   0.959  1.73 </span></span>
-<span><span class="co">#&gt;  9 1              9 -0.770 -1.91 0.0338   0.221 -0.770</span></span>
-<span><span class="co">#&gt; 10 1             10  0.385 -1.78 0.0463   0.650  0.385</span></span>
+<span><span class="co">#&gt;    sim_number     x       y    dx       dy     p       q</span></span>
+<span><span class="co">#&gt;    &lt;fct&gt;      &lt;int&gt;   &lt;dbl&gt; &lt;dbl&gt;    &lt;dbl&gt; &lt;dbl&gt;   &lt;dbl&gt;</span></span>
+<span><span class="co">#&gt;  1 1              1  0.991  -3.18 0.000487 0.839  0.991 </span></span>
+<span><span class="co">#&gt;  2 1              2 -0.163  -3.05 0.00163  0.435 -0.163 </span></span>
+<span><span class="co">#&gt;  3 1              3  2.19   -2.92 0.00454  0.986  2.19  </span></span>
+<span><span class="co">#&gt;  4 1              4 -0.226  -2.78 0.0106   0.411 -0.226 </span></span>
+<span><span class="co">#&gt;  5 1              5 -1.07   -2.65 0.0208   0.141 -1.07  </span></span>
+<span><span class="co">#&gt;  6 1              6 -0.708  -2.52 0.0345   0.239 -0.708 </span></span>
+<span><span class="co">#&gt;  7 1              7  0.343  -2.39 0.0488   0.634  0.343 </span></span>
+<span><span class="co">#&gt;  8 1              8  0.264  -2.26 0.0600   0.604  0.264 </span></span>
+<span><span class="co">#&gt;  9 1              9 -0.0531 -2.13 0.0667   0.479 -0.0531</span></span>
+<span><span class="co">#&gt; 10 1             10  0.444  -2.00 0.0705   0.671  0.444 </span></span>
 <span><span class="co">#&gt; # ℹ 40 more rows</span></span></code></pre></div>
 <p>An example plot of the <code>tidy_normal</code> data.</p>
 <div class="sourceCode" id="cb4"><pre class="downlit sourceCode r">
diff --git a/docs/news/index.html b/docs/news/index.html
index 1c3132d7..e763ac70 100644
--- a/docs/news/index.html
+++ b/docs/news/index.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -55,12 +55,15 @@
 
     <div class="section level2">
 <h2 class="pkg-version" data-toc-text="development version" id="tidydensity-development-version">TidyDensity (development version)<a class="anchor" aria-label="anchor" href="#tidydensity-development-version"></a></h2>
+</div>
+    <div class="section level2">
+<h2 class="pkg-version" data-toc-text="1.5.0" id="tidydensity-150">TidyDensity 1.5.0<a class="anchor" aria-label="anchor" href="#tidydensity-150"></a></h2><p class="text-muted">CRAN release: 2024-05-28</p>
 <div class="section level3">
-<h3 id="breaking-changes-development-version">Breaking Changes<a class="anchor" aria-label="anchor" href="#breaking-changes-development-version"></a></h3>
+<h3 id="breaking-changes-1-5-0">Breaking Changes<a class="anchor" aria-label="anchor" href="#breaking-changes-1-5-0"></a></h3>
 <p>None</p>
 </div>
 <div class="section level3">
-<h3 id="new-features-development-version">New Features<a class="anchor" aria-label="anchor" href="#new-features-development-version"></a></h3>
+<h3 id="new-features-1-5-0">New Features<a class="anchor" aria-label="anchor" href="#new-features-1-5-0"></a></h3>
 <ol style="list-style-type: decimal"><li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/468" class="external-link">#468</a> - Add function <code><a href="../reference/util_negative_binomial_aic.html">util_negative_binomial_aic()</a></code> to calculate the AIC for the negative binomial distribution.</li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/470" class="external-link">#470</a> - Add function <code><a href="../reference/util_zero_truncated_negative_binomial_param_estimate.html">util_zero_truncated_negative_binomial_param_estimate()</a></code> to estimate the parameters of the zero-truncated negative binomial distribution. Add function <code><a href="../reference/util_zero_truncated_negative_binomial_aic.html">util_zero_truncated_negative_binomial_aic()</a></code> to calculate the AIC for the zero-truncated negative binomial distribution. Add function <code><a href="../reference/util_zero_truncated_negative_binomial_stats_tbl.html">util_zero_truncated_negative_binomial_stats_tbl()</a></code> to create a summary table of the zero-truncated negative binomial distribution.</li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/471" class="external-link">#471</a> - Add function <code><a href="../reference/util_zero_truncated_poisson_param_estimate.html">util_zero_truncated_poisson_param_estimate()</a></code> to estimate the parameters of the zero-truncated Poisson distribution. Add function <code><a href="../reference/util_zero_truncated_poisson_aic.html">util_zero_truncated_poisson_aic()</a></code> to calculate the AIC for the zero-truncated Poisson distribution. Add function <code><a href="../reference/util_zero_truncated_poisson_stats_tbl.html">util_zero_truncated_poisson_stats_tbl()</a></code> to create a summary table of the zero-truncated Poisson distribution.</li>
@@ -78,7 +81,7 @@ <h3 id="new-features-development-version">New Features<a class="anchor" aria-lab
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/469" class="external-link">#469</a> - Add function <code><a href="../reference/util_zero_truncated_binomial_stats_tbl.html">util_zero_truncated_binomial_stats_tbl()</a></code> to create a summary table of the Zero Truncated binomial distribution. Add function <code><a href="../reference/util_zero_truncated_binomial_param_estimate.html">util_zero_truncated_binomial_param_estimate()</a></code> to estimate the parameters of the Zero Truncated binomial distribution. Add function <code><a href="../reference/util_zero_truncated_binomial_aic.html">util_zero_truncated_binomial_aic()</a></code> to calculate the AIC for the Zero Truncated binomial distribution.</li>
 </ol></div>
 <div class="section level3">
-<h3 id="minor-improvements-and-fixes-development-version">Minor Improvements and Fixes<a class="anchor" aria-label="anchor" href="#minor-improvements-and-fixes-development-version"></a></h3>
+<h3 id="minor-improvements-and-fixes-1-5-0">Minor Improvements and Fixes<a class="anchor" aria-label="anchor" href="#minor-improvements-and-fixes-1-5-0"></a></h3>
 <ol style="list-style-type: decimal"><li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/468" class="external-link">#468</a> - Update <code><a href="../reference/util_negative_binomial_param_estimate.html">util_negative_binomial_param_estimate()</a></code> to add the use of <code><a href="https://rdrr.io/r/stats/optim.html" class="external-link">optim()</a></code> for parameter estimation.</li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/465" class="external-link">#465</a> - Add names to columns when <code>.return_tibble = TRUE</code> for <code><a href="../reference/quantile_normalize.html">quantile_normalize()</a></code>
 </li>
@@ -130,7 +133,7 @@ <h3 id="new-features-1-3-0">New Features<a class="anchor" aria-label="anchor" hr
 <h3 id="minor-fixes-and-improvements-1-3-0">Minor Fixes and Improvements<a class="anchor" aria-label="anchor" href="#minor-fixes-and-improvements-1-3-0"></a></h3>
 <ol style="list-style-type: decimal"><li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/372" class="external-link">#372</a> and <a href="https://github.com/spsanderson/TidyDensity/issues/373" class="external-link">#373</a> - Update <code><a href="../reference/cvar.html">cvar()</a></code> and <code><a href="../reference/csd.html">csd()</a></code> to a vectorized approach from <a href="https://github.com/kokbent" class="external-link">@kokbent</a> which speeds these up by over 100x</li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/350" class="external-link">#350</a> - Update all <code>tidy_</code> distribution functions to generate data using <code>data.table</code> this in many instances has resulted in a speed up of 30% or more.</li>
-<li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/379" class="external-link">#379</a> - Replace the use of <code><a href="https://rdrr.io/pkg/dplyr/man/deprec-context.html" class="external-link">dplyr::cur_data()</a></code> as it was deprecated in dplyr in favor of using <code><a href="https://rdrr.io/pkg/dplyr/man/pick.html" class="external-link">dplyr::pick()</a></code>
+<li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/379" class="external-link">#379</a> - Replace the use of <code><a href="https://dplyr.tidyverse.org/reference/deprec-context.html" class="external-link">dplyr::cur_data()</a></code> as it was deprecated in dplyr in favor of using <code><a href="https://dplyr.tidyverse.org/reference/pick.html" class="external-link">dplyr::pick()</a></code>
 </li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/381" class="external-link">#381</a> - Add <code><a href="../reference/tidy_triangular.html">tidy_triangular()</a></code> to all autoplot functions.</li>
 <li>Fix <a href="https://github.com/spsanderson/TidyDensity/issues/385" class="external-link">#385</a> - For <code><a href="../reference/tidy_multi_dist_autoplot.html">tidy_multi_dist_autoplot()</a></code> the <code>.plot_type = "quantile"</code> did not work.</li>
diff --git a/docs/pkgdown.yml b/docs/pkgdown.yml
index 842be7c3..f01d3d5a 100644
--- a/docs/pkgdown.yml
+++ b/docs/pkgdown.yml
@@ -3,7 +3,7 @@ pkgdown: 2.0.9
 pkgdown_sha: ~
 articles:
   getting-started: getting-started.html
-last_built: 2024-05-16T02:14Z
+last_built: 2024-05-30T11:42Z
 urls:
   reference: https://www.spsanderson.com/TidyDensity/reference
   article: https://www.spsanderson.com/TidyDensity/articles
diff --git a/docs/reference/bootstrap_density_augment.html b/docs/reference/bootstrap_density_augment.html
index 4df2b91d..8b8f4eeb 100644
--- a/docs/reference/bootstrap_density_augment.html
+++ b/docs/reference/bootstrap_density_augment.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_p_augment.html b/docs/reference/bootstrap_p_augment.html
index 78268fc1..de576f95 100644
--- a/docs/reference/bootstrap_p_augment.html
+++ b/docs/reference/bootstrap_p_augment.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_p_vec.html b/docs/reference/bootstrap_p_vec.html
index bd4e37ee..9a986a4f 100644
--- a/docs/reference/bootstrap_p_vec.html
+++ b/docs/reference/bootstrap_p_vec.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_q_augment.html b/docs/reference/bootstrap_q_augment.html
index e664ff9c..a4fff6df 100644
--- a/docs/reference/bootstrap_q_augment.html
+++ b/docs/reference/bootstrap_q_augment.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_q_vec.html b/docs/reference/bootstrap_q_vec.html
index 35afe3fd..d9db78b4 100644
--- a/docs/reference/bootstrap_q_vec.html
+++ b/docs/reference/bootstrap_q_vec.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_stat_plot.html b/docs/reference/bootstrap_stat_plot.html
index aa16cf52..d6cd8de6 100644
--- a/docs/reference/bootstrap_stat_plot.html
+++ b/docs/reference/bootstrap_stat_plot.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/bootstrap_unnest_tbl.html b/docs/reference/bootstrap_unnest_tbl.html
index df86a210..0a95254a 100644
--- a/docs/reference/bootstrap_unnest_tbl.html
+++ b/docs/reference/bootstrap_unnest_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/cgmean.html b/docs/reference/cgmean.html
index 8424b461..f43fc3d3 100644
--- a/docs/reference/cgmean.html
+++ b/docs/reference/cgmean.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/check_duplicate_rows.html b/docs/reference/check_duplicate_rows.html
index a21d46bb..38f50cb0 100644
--- a/docs/reference/check_duplicate_rows.html
+++ b/docs/reference/check_duplicate_rows.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/chmean.html b/docs/reference/chmean.html
index a79b0603..dc6f40f2 100644
--- a/docs/reference/chmean.html
+++ b/docs/reference/chmean.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/ci_hi.html b/docs/reference/ci_hi.html
index 29368d56..f1e55226 100644
--- a/docs/reference/ci_hi.html
+++ b/docs/reference/ci_hi.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/ci_lo.html b/docs/reference/ci_lo.html
index 37a37dd0..e5d5bd5a 100644
--- a/docs/reference/ci_lo.html
+++ b/docs/reference/ci_lo.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/ckurtosis.html b/docs/reference/ckurtosis.html
index 8b6e070c..7d44062d 100644
--- a/docs/reference/ckurtosis.html
+++ b/docs/reference/ckurtosis.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/cmean.html b/docs/reference/cmean.html
index 30a731ae..c1858687 100644
--- a/docs/reference/cmean.html
+++ b/docs/reference/cmean.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -77,7 +77,7 @@ <h2 id="value">Value<a class="anchor" aria-label="anchor" href="#value"></a></h2
     </div>
     <div class="section level2">
     <h2 id="details">Details<a class="anchor" aria-label="anchor" href="#details"></a></h2>
-    <p>A function to return the cumulative mean of a vector. It uses <code><a href="https://rdrr.io/pkg/dplyr/man/cumall.html" class="external-link">dplyr::cummean()</a></code>
+    <p>A function to return the cumulative mean of a vector. It uses <code><a href="https://dplyr.tidyverse.org/reference/cumall.html" class="external-link">dplyr::cummean()</a></code>
 as the basis of the function.</p>
     </div>
     <div class="section level2">
diff --git a/docs/reference/cmedian.html b/docs/reference/cmedian.html
index 5aeeff4d..a1da93bc 100644
--- a/docs/reference/cmedian.html
+++ b/docs/reference/cmedian.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/color_blind.html b/docs/reference/color_blind.html
index 9d007732..c58c050a 100644
--- a/docs/reference/color_blind.html
+++ b/docs/reference/color_blind.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/convert_to_ts.html b/docs/reference/convert_to_ts.html
index 0fc391b5..ab2e8726 100644
--- a/docs/reference/convert_to_ts.html
+++ b/docs/reference/convert_to_ts.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/csd.html b/docs/reference/csd.html
index 0ac2df64..3498c0ab 100644
--- a/docs/reference/csd.html
+++ b/docs/reference/csd.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/cskewness.html b/docs/reference/cskewness.html
index 5208a617..fe66e1af 100644
--- a/docs/reference/cskewness.html
+++ b/docs/reference/cskewness.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/cvar.html b/docs/reference/cvar.html
index a46400c6..6c4875fc 100644
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index 9554d190..f5cb3448 100644
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@@ -74,8 +74,8 @@ <h2 id="arguments">Arguments<a class="anchor" aria-label="anchor" href="#argumen
 
 
 <dt>...</dt>
-<dd><p>This is the grouping variable that gets passed to <code><a href="https://rdrr.io/pkg/dplyr/man/group_by.html" class="external-link">dplyr::group_by()</a></code>
-and <code><a href="https://rdrr.io/pkg/dplyr/man/select.html" class="external-link">dplyr::select()</a></code>.</p></dd>
+<dd><p>This is the grouping variable that gets passed to <code><a href="https://dplyr.tidyverse.org/reference/group_by.html" class="external-link">dplyr::group_by()</a></code>
+and <code><a href="https://dplyr.tidyverse.org/reference/select.html" class="external-link">dplyr::select()</a></code>.</p></dd>
 
 </dl></div>
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+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_pareto.html b/docs/reference/tidy_pareto.html
index 15fd1b22..f82cdf16 100644
--- a/docs/reference/tidy_pareto.html
+++ b/docs/reference/tidy_pareto.html
@@ -40,7 +40,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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diff --git a/docs/reference/tidy_pareto1.html b/docs/reference/tidy_pareto1.html
index 17b37aaa..f7b36edc 100644
--- a/docs/reference/tidy_pareto1.html
+++ b/docs/reference/tidy_pareto1.html
@@ -40,7 +40,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
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diff --git a/docs/reference/tidy_poisson.html b/docs/reference/tidy_poisson.html
index 787e2698..f8082b19 100644
--- a/docs/reference/tidy_poisson.html
+++ b/docs/reference/tidy_poisson.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_random_walk.html b/docs/reference/tidy_random_walk.html
index ac044be3..daf0f340 100644
--- a/docs/reference/tidy_random_walk.html
+++ b/docs/reference/tidy_random_walk.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_random_walk_autoplot.html b/docs/reference/tidy_random_walk_autoplot.html
index 4155286e..3ff3e784 100644
--- a/docs/reference/tidy_random_walk_autoplot.html
+++ b/docs/reference/tidy_random_walk_autoplot.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_range_statistic.html b/docs/reference/tidy_range_statistic.html
index 7f1b524b..2292bcc1 100644
--- a/docs/reference/tidy_range_statistic.html
+++ b/docs/reference/tidy_range_statistic.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_scale_zero_one_vec.html b/docs/reference/tidy_scale_zero_one_vec.html
index 7b1cda25..ec01c7a3 100644
--- a/docs/reference/tidy_scale_zero_one_vec.html
+++ b/docs/reference/tidy_scale_zero_one_vec.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_skewness_vec.html b/docs/reference/tidy_skewness_vec.html
index d4e1eab6..54afe504 100644
--- a/docs/reference/tidy_skewness_vec.html
+++ b/docs/reference/tidy_skewness_vec.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_stat_tbl.html b/docs/reference/tidy_stat_tbl.html
index 5904bcb8..2a9365f7 100644
--- a/docs/reference/tidy_stat_tbl.html
+++ b/docs/reference/tidy_stat_tbl.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_t.html b/docs/reference/tidy_t.html
index e5e95c31..4f8dccb3 100644
--- a/docs/reference/tidy_t.html
+++ b/docs/reference/tidy_t.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_triangular.html b/docs/reference/tidy_triangular.html
index 6e7538f1..a861f826 100644
--- a/docs/reference/tidy_triangular.html
+++ b/docs/reference/tidy_triangular.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_uniform.html b/docs/reference/tidy_uniform.html
index ed16c1a7..925c7c5e 100644
--- a/docs/reference/tidy_uniform.html
+++ b/docs/reference/tidy_uniform.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_weibull.html b/docs/reference/tidy_weibull.html
index 6b89093f..79b143de 100644
--- a/docs/reference/tidy_weibull.html
+++ b/docs/reference/tidy_weibull.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_zero_truncated_binomial.html b/docs/reference/tidy_zero_truncated_binomial.html
index dd5ef35c..84a40af4 100644
--- a/docs/reference/tidy_zero_truncated_binomial.html
+++ b/docs/reference/tidy_zero_truncated_binomial.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_zero_truncated_geometric.html b/docs/reference/tidy_zero_truncated_geometric.html
index 53109a98..6ff1d425 100644
--- a/docs/reference/tidy_zero_truncated_geometric.html
+++ b/docs/reference/tidy_zero_truncated_geometric.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_zero_truncated_negative_binomial.html b/docs/reference/tidy_zero_truncated_negative_binomial.html
index f76140db..98c8bf91 100644
--- a/docs/reference/tidy_zero_truncated_negative_binomial.html
+++ b/docs/reference/tidy_zero_truncated_negative_binomial.html
@@ -40,7 +40,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidy_zero_truncated_poisson.html b/docs/reference/tidy_zero_truncated_poisson.html
index 25096230..b8cdc1d6 100644
--- a/docs/reference/tidy_zero_truncated_poisson.html
+++ b/docs/reference/tidy_zero_truncated_poisson.html
@@ -40,7 +40,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/tidyeval.html b/docs/reference/tidyeval.html
index 2c6b4427..903a9f94 100644
--- a/docs/reference/tidyeval.html
+++ b/docs/reference/tidyeval.html
@@ -160,7 +160,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -257,8 +257,8 @@
 <span id="cb1-4"><a href="#cb1-4" tabindex="-1"></a>  data <span class="sc">%&gt;%</span></span>

 <span id="cb1-5"><a href="#cb1-5" tabindex="-1"></a>    <span class="fu">summarise</span>(<span class="st">"{{ var }}_mean_{suffix}"</span> <span class="sc">:=</span> <span class="fu">mean</span>({{ var }}))</span>

 <span id="cb1-6"><a href="#cb1-6" tabindex="-1"></a>}</span></code></pre><p></p></div></li>
-<li><p>Many tidy eval functions like <code><a href="https://rdrr.io/pkg/dplyr/man/mutate.html" class="external-link">dplyr::mutate()</a></code> or
-<code><a href="https://rdrr.io/pkg/dplyr/man/summarise.html" class="external-link">dplyr::summarise()</a></code> give an automatic name to unnamed inputs. If
+<li><p>Many tidy eval functions like <code><a href="https://dplyr.tidyverse.org/reference/mutate.html" class="external-link">dplyr::mutate()</a></code> or
+<code><a href="https://dplyr.tidyverse.org/reference/summarise.html" class="external-link">dplyr::summarise()</a></code> give an automatic name to unnamed inputs. If
 you need to create the same sort of automatic names by yourself,
 use <code>as_label()</code>. For instance, the glue-tunnelling syntax above
 can be reproduced manually with:</p>
diff --git a/docs/reference/triangle_plot.html b/docs/reference/triangle_plot.html
index 7b479312..4939de86 100644
--- a/docs/reference/triangle_plot.html
+++ b/docs/reference/triangle_plot.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_bernoulli_param_estimate.html b/docs/reference/util_bernoulli_param_estimate.html
index e2f0e9e3..1d738618 100644
--- a/docs/reference/util_bernoulli_param_estimate.html
+++ b/docs/reference/util_bernoulli_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -148,7 +148,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_bernoulli.html">tidy_bernoulli</a></span><span class="op">(</span>.prob <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_bernoulli.html">tidy_bernoulli</a></span><span class="op">(</span>.prob <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_bernoulli_param_estimate</span><span class="op">(</span><span class="va">tb</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_bernoulli_stats_tbl.html b/docs/reference/util_bernoulli_stats_tbl.html
index 7e4feca8..70e68ae5 100644
--- a/docs/reference/util_bernoulli_stats_tbl.html
+++ b/docs/reference/util_bernoulli_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_bernoulli.html">tidy_bernoulli</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_bernoulli_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 18</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function      <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_bernoulli"</span>
diff --git a/docs/reference/util_beta_aic.html b/docs/reference/util_beta_aic.html
index a2c03b16..cf8f32d0 100644
--- a/docs/reference/util_beta_aic.html
+++ b/docs/reference/util_beta_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_beta_param_estimate.html b/docs/reference/util_beta_param_estimate.html
index c407de4d..fdc7354b 100644
--- a/docs/reference/util_beta_param_estimate.html
+++ b/docs/reference/util_beta_param_estimate.html
@@ -34,7 +34,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_beta_stats_tbl.html b/docs/reference/util_beta_stats_tbl.html
index 7a6c6575..c2965034 100644
--- a/docs/reference/util_beta_stats_tbl.html
+++ b/docs/reference/util_beta_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
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 <span class="r-in"><span><span class="fu"><a href="tidy_beta.html">tidy_beta</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_beta_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
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 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_beta"</span>
diff --git a/docs/reference/util_binomial_aic.html b/docs/reference/util_binomial_aic.html
index a631bc3c..7e49bb12 100644
--- a/docs/reference/util_binomial_aic.html
+++ b/docs/reference/util_binomial_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_binomial_param_estimate.html b/docs/reference/util_binomial_param_estimate.html
index 21e019a2..0d831c68 100644
--- a/docs/reference/util_binomial_param_estimate.html
+++ b/docs/reference/util_binomial_param_estimate.html
@@ -20,7 +20,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_binomial_stats_tbl.html b/docs/reference/util_binomial_stats_tbl.html
index ea82ab43..7a921c2b 100644
--- a/docs/reference/util_binomial_stats_tbl.html
+++ b/docs/reference/util_binomial_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -138,7 +138,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_binomial.html">tidy_binomial</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_binomial_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 18</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_binomial"</span>
diff --git a/docs/reference/util_burr_param_estimate.html b/docs/reference/util_burr_param_estimate.html
index fa2fb199..0ecfdaa2 100644
--- a/docs/reference/util_burr_param_estimate.html
+++ b/docs/reference/util_burr_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -149,7 +149,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_burr.html">tidy_burr</a></span><span class="op">(</span>.shape1 <span class="op">=</span> <span class="fl">1</span>, .shape2 <span class="op">=</span> <span class="fl">2</span>, .rate <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_burr.html">tidy_burr</a></span><span class="op">(</span>.shape1 <span class="op">=</span> <span class="fl">1</span>, .shape2 <span class="op">=</span> <span class="fl">2</span>, .rate <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_burr_param_estimate</span><span class="op">(</span><span class="va">tb</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_burr_stats_tbl.html b/docs/reference/util_burr_stats_tbl.html
index 16da87f4..0b79ce90 100644
--- a/docs/reference/util_burr_stats_tbl.html
+++ b/docs/reference/util_burr_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_burr.html">tidy_burr</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_burr_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 16</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_burr"</span>
diff --git a/docs/reference/util_cauchy_aic.html b/docs/reference/util_cauchy_aic.html
index 43a09f46..62addb6b 100644
--- a/docs/reference/util_cauchy_aic.html
+++ b/docs/reference/util_cauchy_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_cauchy_param_estimate.html b/docs/reference/util_cauchy_param_estimate.html
index 924d0017..89a80fb6 100644
--- a/docs/reference/util_cauchy_param_estimate.html
+++ b/docs/reference/util_cauchy_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_cauchy_stats_tbl.html b/docs/reference/util_cauchy_stats_tbl.html
index 1b910cd3..c22e2667 100644
--- a/docs/reference/util_cauchy_stats_tbl.html
+++ b/docs/reference/util_cauchy_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_cauchy.html">tidy_cauchy</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_cauchy_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_cauchy"</span>
diff --git a/docs/reference/util_chisq_aic.html b/docs/reference/util_chisq_aic.html
index 7dfd92ef..4448ffbd 100644
--- a/docs/reference/util_chisq_aic.html
+++ b/docs/reference/util_chisq_aic.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_chisquare_param_estimate.html b/docs/reference/util_chisquare_param_estimate.html
index a767d4cc..d8de3605 100644
--- a/docs/reference/util_chisquare_param_estimate.html
+++ b/docs/reference/util_chisquare_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -185,7 +185,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_chisquare.html">tidy_chisquare</a></span><span class="op">(</span>.n <span class="op">=</span> <span class="fl">500</span>, .df <span class="op">=</span> <span class="fl">6</span>, .ncp <span class="op">=</span> <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tc</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_chisquare.html">tidy_chisquare</a></span><span class="op">(</span>.n <span class="op">=</span> <span class="fl">500</span>, .df <span class="op">=</span> <span class="fl">6</span>, .ncp <span class="op">=</span> <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_chisquare_param_estimate</span><span class="op">(</span><span class="va">tc</span><span class="op">)</span></span></span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>NaNs produced</span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>NaNs produced</span>
diff --git a/docs/reference/util_chisquare_stats_tbl.html b/docs/reference/util_chisquare_stats_tbl.html
index 938aef47..493d3248 100644
--- a/docs/reference/util_chisquare_stats_tbl.html
+++ b/docs/reference/util_chisquare_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_chisquare.html">tidy_chisquare</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_chisquare_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_chisquare"</span>
diff --git a/docs/reference/util_exponential_aic.html b/docs/reference/util_exponential_aic.html
index 3e46c5e3..172c9e0b 100644
--- a/docs/reference/util_exponential_aic.html
+++ b/docs/reference/util_exponential_aic.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_exponential_param_estimate.html b/docs/reference/util_exponential_param_estimate.html
index c5e2f465..6948d4c8 100644
--- a/docs/reference/util_exponential_param_estimate.html
+++ b/docs/reference/util_exponential_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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@@ -147,7 +147,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">te</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_exponential.html">tidy_exponential</a></span><span class="op">(</span>.rate <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">te</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_exponential.html">tidy_exponential</a></span><span class="op">(</span>.rate <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_exponential_param_estimate</span><span class="op">(</span><span class="va">te</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_exponential_stats_tbl.html b/docs/reference/util_exponential_stats_tbl.html
index 885b4759..cc4b3ca5 100644
--- a/docs/reference/util_exponential_stats_tbl.html
+++ b/docs/reference/util_exponential_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_exponential.html">tidy_exponential</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_exponential_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 18</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_exponential"</span>
diff --git a/docs/reference/util_f_aic.html b/docs/reference/util_f_aic.html
index e1cef1d1..af8f232e 100644
--- a/docs/reference/util_f_aic.html
+++ b/docs/reference/util_f_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_f_param_estimate.html b/docs/reference/util_f_param_estimate.html
index 7b8f835a..38e1dfe1 100644
--- a/docs/reference/util_f_param_estimate.html
+++ b/docs/reference/util_f_param_estimate.html
@@ -10,7 +10,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_f_stats_tbl.html b/docs/reference/util_f_stats_tbl.html
index 90d9036b..a38c7774 100644
--- a/docs/reference/util_f_stats_tbl.html
+++ b/docs/reference/util_f_stats_tbl.html
@@ -10,7 +10,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
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 <span class="r-in"><span><span class="fu"><a href="tidy_f.html">tidy_f</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_f_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
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 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_f"</span>
diff --git a/docs/reference/util_gamma_aic.html b/docs/reference/util_gamma_aic.html
index d1c71922..7bd78b4b 100644
--- a/docs/reference/util_gamma_aic.html
+++ b/docs/reference/util_gamma_aic.html
@@ -14,7 +14,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_gamma_param_estimate.html b/docs/reference/util_gamma_param_estimate.html
index 3ef9902b..a41d1709 100644
--- a/docs/reference/util_gamma_param_estimate.html
+++ b/docs/reference/util_gamma_param_estimate.html
@@ -18,7 +18,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -147,7 +147,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tg</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_gamma.html">tidy_gamma</a></span><span class="op">(</span>.shape <span class="op">=</span> <span class="fl">1</span>, .scale <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tg</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_gamma.html">tidy_gamma</a></span><span class="op">(</span>.shape <span class="op">=</span> <span class="fl">1</span>, .scale <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_gamma_param_estimate</span><span class="op">(</span><span class="va">tg</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_gamma_stats_tbl.html b/docs/reference/util_gamma_stats_tbl.html
index 9a6bf86e..d7d82a05 100644
--- a/docs/reference/util_gamma_stats_tbl.html
+++ b/docs/reference/util_gamma_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_gamma.html">tidy_gamma</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_gamma_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_gamma"</span>
diff --git a/docs/reference/util_generalized_beta_aic.html b/docs/reference/util_generalized_beta_aic.html
index 8022a031..6fa91516 100644
--- a/docs/reference/util_generalized_beta_aic.html
+++ b/docs/reference/util_generalized_beta_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_generalized_beta_param_estimate.html b/docs/reference/util_generalized_beta_param_estimate.html
index e8f093c1..2529aa56 100644
--- a/docs/reference/util_generalized_beta_param_estimate.html
+++ b/docs/reference/util_generalized_beta_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_generalized_beta_stats_tbl.html b/docs/reference/util_generalized_beta_stats_tbl.html
index e00568ad..dea691db 100644
--- a/docs/reference/util_generalized_beta_stats_tbl.html
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@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_generalized_beta.html">tidy_generalized_beta</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_generalized_beta_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_generalized_beta"</span>
diff --git a/docs/reference/util_generalized_pareto_aic.html b/docs/reference/util_generalized_pareto_aic.html
index 40a5cd0f..ce6f9c15 100644
--- a/docs/reference/util_generalized_pareto_aic.html
+++ b/docs/reference/util_generalized_pareto_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_generalized_pareto_param_estimate.html b/docs/reference/util_generalized_pareto_param_estimate.html
index f4fe3056..d10bf881 100644
--- a/docs/reference/util_generalized_pareto_param_estimate.html
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@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_generalized_pareto_stats_tbl.html b/docs/reference/util_generalized_pareto_stats_tbl.html
index 7f8c6536..ebb3841a 100644
--- a/docs/reference/util_generalized_pareto_stats_tbl.html
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@@ -10,7 +10,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
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@@ -129,7 +129,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
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 <span class="r-in"><span>  <span class="fu">util_generalized_pareto_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 16</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_generalized_pareto"</span>
diff --git a/docs/reference/util_geometric_aic.html b/docs/reference/util_geometric_aic.html
index 7c360a69..7f38d139 100644
--- a/docs/reference/util_geometric_aic.html
+++ b/docs/reference/util_geometric_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_geometric_param_estimate.html b/docs/reference/util_geometric_param_estimate.html
index 3b272589..74eabdf2 100644
--- a/docs/reference/util_geometric_param_estimate.html
+++ b/docs/reference/util_geometric_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -149,7 +149,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
     <div class="sourceCode"><pre class="sourceCode r"><code><span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://dplyr.tidyverse.org" class="external-link">dplyr</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tg</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_geometric.html">tidy_geometric</a></span><span class="op">(</span>.prob <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tg</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_geometric.html">tidy_geometric</a></span><span class="op">(</span>.prob <span class="op">=</span> <span class="fl">.1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_geometric_param_estimate</span><span class="op">(</span><span class="va">tg</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_geometric_stats_tbl.html b/docs/reference/util_geometric_stats_tbl.html
index 80b52983..5129cc71 100644
--- a/docs/reference/util_geometric_stats_tbl.html
+++ b/docs/reference/util_geometric_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_geometric.html">tidy_geometric</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_geometric_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_geometric"</span>
diff --git a/docs/reference/util_hypergeometric_aic.html b/docs/reference/util_hypergeometric_aic.html
index 1e544454..bdd0e55f 100644
--- a/docs/reference/util_hypergeometric_aic.html
+++ b/docs/reference/util_hypergeometric_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_hypergeometric_param_estimate.html b/docs/reference/util_hypergeometric_param_estimate.html
index cccff580..a1a28c71 100644
--- a/docs/reference/util_hypergeometric_param_estimate.html
+++ b/docs/reference/util_hypergeometric_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_hypergeometric_stats_tbl.html b/docs/reference/util_hypergeometric_stats_tbl.html
index 00818380..22fe2b4c 100644
--- a/docs/reference/util_hypergeometric_stats_tbl.html
+++ b/docs/reference/util_hypergeometric_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_hypergeometric.html">tidy_hypergeometric</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_hypergeometric_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-wrn co"><span class="r-pr">#&gt;</span> <span class="warning">Warning: </span>NaNs produced</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 18</span>
diff --git a/docs/reference/util_inverse_burr_aic.html b/docs/reference/util_inverse_burr_aic.html
index f500f861..8a8076e8 100644
--- a/docs/reference/util_inverse_burr_aic.html
+++ b/docs/reference/util_inverse_burr_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_inverse_burr_param_estimate.html b/docs/reference/util_inverse_burr_param_estimate.html
index fc3c105c..9a853649 100644
--- a/docs/reference/util_inverse_burr_param_estimate.html
+++ b/docs/reference/util_inverse_burr_param_estimate.html
@@ -18,7 +18,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -145,7 +145,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://ggplot2.tidyverse.org" class="external-link">ggplot2</a></span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
-<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_burr.html">tidy_burr</a></span><span class="op">(</span>.shape1 <span class="op">=</span> <span class="fl">1</span>, .shape2 <span class="op">=</span> <span class="fl">2</span>, .rate <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_burr.html">tidy_burr</a></span><span class="op">(</span>.shape1 <span class="op">=</span> <span class="fl">1</span>, .shape2 <span class="op">=</span> <span class="fl">2</span>, .rate <span class="op">=</span> <span class="fl">.3</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="va">output</span> <span class="op">&lt;-</span> <span class="fu">util_inverse_burr_param_estimate</span><span class="op">(</span><span class="va">tb</span><span class="op">)</span></span></span>
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
diff --git a/docs/reference/util_inverse_burr_stats_tbl.html b/docs/reference/util_inverse_burr_stats_tbl.html
index e9bb22e8..bc87f727 100644
--- a/docs/reference/util_inverse_burr_stats_tbl.html
+++ b/docs/reference/util_inverse_burr_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_inverse_burr.html">tidy_inverse_burr</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_inverse_burr_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 16</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_inverse_burr"</span>
diff --git a/docs/reference/util_inverse_pareto_aic.html b/docs/reference/util_inverse_pareto_aic.html
index 0aad6746..c6f7dcee 100644
--- a/docs/reference/util_inverse_pareto_aic.html
+++ b/docs/reference/util_inverse_pareto_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_inverse_pareto_param_estimate.html b/docs/reference/util_inverse_pareto_param_estimate.html
index de644c11..4fe55d96 100644
--- a/docs/reference/util_inverse_pareto_param_estimate.html
+++ b/docs/reference/util_inverse_pareto_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_inverse_pareto_stats_tbl.html b/docs/reference/util_inverse_pareto_stats_tbl.html
index dbe5a59a..d4d420c0 100644
--- a/docs/reference/util_inverse_pareto_stats_tbl.html
+++ b/docs/reference/util_inverse_pareto_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -129,7 +129,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_inverse_pareto.html">tidy_inverse_pareto</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_inverse_pareto_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_inverse_pareto"</span>
diff --git a/docs/reference/util_inverse_weibull_aic.html b/docs/reference/util_inverse_weibull_aic.html
index 509b662d..04e3d466 100644
--- a/docs/reference/util_inverse_weibull_aic.html
+++ b/docs/reference/util_inverse_weibull_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_inverse_weibull_param_estimate.html b/docs/reference/util_inverse_weibull_param_estimate.html
index 634c9be2..cf8d02b3 100644
--- a/docs/reference/util_inverse_weibull_param_estimate.html
+++ b/docs/reference/util_inverse_weibull_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_inverse_weibull_stats_tbl.html b/docs/reference/util_inverse_weibull_stats_tbl.html
index 76a4d185..43f46c0c 100644
--- a/docs/reference/util_inverse_weibull_stats_tbl.html
+++ b/docs/reference/util_inverse_weibull_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_inverse_weibull.html">tidy_inverse_weibull</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_inverse_weibull_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 16</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_inverse_weibull"</span>
diff --git a/docs/reference/util_logistic_aic.html b/docs/reference/util_logistic_aic.html
index 941bad8c..559f2add 100644
--- a/docs/reference/util_logistic_aic.html
+++ b/docs/reference/util_logistic_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_logistic_param_estimate.html b/docs/reference/util_logistic_param_estimate.html
index a6f4e755..7a119848 100644
--- a/docs/reference/util_logistic_param_estimate.html
+++ b/docs/reference/util_logistic_param_estimate.html
@@ -28,7 +28,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_logistic_stats_tbl.html b/docs/reference/util_logistic_stats_tbl.html
index 54096cc9..b9f2d63c 100644
--- a/docs/reference/util_logistic_stats_tbl.html
+++ b/docs/reference/util_logistic_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_logistic.html">tidy_logistic</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_logistic_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_logistic"</span>
diff --git a/docs/reference/util_lognormal_aic.html b/docs/reference/util_lognormal_aic.html
index ca5e00dd..27046f56 100644
--- a/docs/reference/util_lognormal_aic.html
+++ b/docs/reference/util_lognormal_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_lognormal_param_estimate.html b/docs/reference/util_lognormal_param_estimate.html
index dc9accc5..f1bade01 100644
--- a/docs/reference/util_lognormal_param_estimate.html
+++ b/docs/reference/util_lognormal_param_estimate.html
@@ -26,7 +26,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -170,7 +170,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>  <span class="fu"><a href="tidy_combined_autoplot.html">tidy_combined_autoplot</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-plt img"><img src="util_lognormal_param_estimate-1.png" alt="" width="700" height="433"></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_lognormal.html">tidy_lognormal</a></span><span class="op">(</span>.meanlog <span class="op">=</span> <span class="fl">2</span>, .sdlog <span class="op">=</span> <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">tb</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_lognormal.html">tidy_lognormal</a></span><span class="op">(</span>.meanlog <span class="op">=</span> <span class="fl">2</span>, .sdlog <span class="op">=</span> <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">util_lognormal_param_estimate</span><span class="op">(</span><span class="va">tb</span><span class="op">)</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #949494;"># A tibble: 2 × 8</span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   dist_type samp_size   min   max method        mean_log sd_log shape_ratio</span>
diff --git a/docs/reference/util_lognormal_stats_tbl.html b/docs/reference/util_lognormal_stats_tbl.html
index 80f5ac4d..da15ee4f 100644
--- a/docs/reference/util_lognormal_stats_tbl.html
+++ b/docs/reference/util_lognormal_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_lognormal.html">tidy_lognormal</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_lognormal_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 18</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_lognormal"</span>
diff --git a/docs/reference/util_negative_binomial_aic.html b/docs/reference/util_negative_binomial_aic.html
index 8a39ec7e..33e42944 100644
--- a/docs/reference/util_negative_binomial_aic.html
+++ b/docs/reference/util_negative_binomial_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_negative_binomial_param_estimate.html b/docs/reference/util_negative_binomial_param_estimate.html
index 967f2730..288ed4f0 100644
--- a/docs/reference/util_negative_binomial_param_estimate.html
+++ b/docs/reference/util_negative_binomial_param_estimate.html
@@ -28,7 +28,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_negative_binomial_stats_tbl.html b/docs/reference/util_negative_binomial_stats_tbl.html
index 13a3f691..e76734a7 100644
--- a/docs/reference/util_negative_binomial_stats_tbl.html
+++ b/docs/reference/util_negative_binomial_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -129,7 +129,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_negative_binomial.html">tidy_negative_binomial</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_negative_binomial_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_negative_binomial"</span>
diff --git a/docs/reference/util_normal_aic.html b/docs/reference/util_normal_aic.html
index 546bbde2..6ff1ac68 100644
--- a/docs/reference/util_normal_aic.html
+++ b/docs/reference/util_normal_aic.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_normal_param_estimate.html b/docs/reference/util_normal_param_estimate.html
index e418d51a..dae9b6dc 100644
--- a/docs/reference/util_normal_param_estimate.html
+++ b/docs/reference/util_normal_param_estimate.html
@@ -26,7 +26,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_normal_stats_tbl.html b/docs/reference/util_normal_stats_tbl.html
index b48be3df..d8930f0b 100644
--- a/docs/reference/util_normal_stats_tbl.html
+++ b/docs/reference/util_normal_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -131,7 +131,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_normal.html">tidy_normal</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_normal_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_gaussian"</span>
diff --git a/docs/reference/util_paralogistic_aic.html b/docs/reference/util_paralogistic_aic.html
index 725f9635..4d44d4aa 100644
--- a/docs/reference/util_paralogistic_aic.html
+++ b/docs/reference/util_paralogistic_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_paralogistic_param_estimate.html b/docs/reference/util_paralogistic_param_estimate.html
index 1105e989..87fb964c 100644
--- a/docs/reference/util_paralogistic_param_estimate.html
+++ b/docs/reference/util_paralogistic_param_estimate.html
@@ -24,7 +24,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_paralogistic_stats_tbl.html b/docs/reference/util_paralogistic_stats_tbl.html
index 8de9ab8a..118a2734 100644
--- a/docs/reference/util_paralogistic_stats_tbl.html
+++ b/docs/reference/util_paralogistic_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -127,7 +127,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span><span class="fu"><a href="https://rdrr.io/r/base/Random.html" class="external-link">set.seed</a></span><span class="op">(</span><span class="fl">123</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_paralogistic.html">tidy_paralogistic</a></span><span class="op">(</span>.n <span class="op">=</span> <span class="fl">50</span>, .shape <span class="op">=</span> <span class="fl">5</span>, .rate <span class="op">=</span> <span class="fl">6</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_paralogistic_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_paralogistic"</span>
diff --git a/docs/reference/util_pareto1_aic.html b/docs/reference/util_pareto1_aic.html
index 30bb2a2d..06c382ae 100644
--- a/docs/reference/util_pareto1_aic.html
+++ b/docs/reference/util_pareto1_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_pareto1_param_estimate.html b/docs/reference/util_pareto1_param_estimate.html
index be47ebdf..512d9c44 100644
--- a/docs/reference/util_pareto1_param_estimate.html
+++ b/docs/reference/util_pareto1_param_estimate.html
@@ -26,7 +26,7 @@
     
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-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_pareto1_stats_tbl.html b/docs/reference/util_pareto1_stats_tbl.html
index 264cb79e..1654f253 100644
--- a/docs/reference/util_pareto1_stats_tbl.html
+++ b/docs/reference/util_pareto1_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -132,7 +132,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_pareto1.html">tidy_pareto1</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_pareto1_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_pareto_single_parameter"</span>
diff --git a/docs/reference/util_pareto_aic.html b/docs/reference/util_pareto_aic.html
index 3935513d..a459a584 100644
--- a/docs/reference/util_pareto_aic.html
+++ b/docs/reference/util_pareto_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_pareto_param_estimate.html b/docs/reference/util_pareto_param_estimate.html
index b166c8af..7f508e5f 100644
--- a/docs/reference/util_pareto_param_estimate.html
+++ b/docs/reference/util_pareto_param_estimate.html
@@ -26,7 +26,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -176,7 +176,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span>  <span class="fu"><a href="tidy_combined_autoplot.html">tidy_combined_autoplot</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-plt img"><img src="util_pareto_param_estimate-1.png" alt="" width="700" height="433"></span>
 <span class="r-in"><span></span></span>
-<span class="r-in"><span><span class="va">t</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_pareto.html">tidy_pareto</a></span><span class="op">(</span><span class="fl">50</span>, <span class="fl">1</span>, <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://rdrr.io/pkg/dplyr/man/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
+<span class="r-in"><span><span class="va">t</span> <span class="op">&lt;-</span> <span class="fu"><a href="tidy_pareto.html">tidy_pareto</a></span><span class="op">(</span><span class="fl">50</span>, <span class="fl">1</span>, <span class="fl">1</span><span class="op">)</span> <span class="op">|&gt;</span> <span class="fu"><a href="https://dplyr.tidyverse.org/reference/pull.html" class="external-link">pull</a></span><span class="op">(</span><span class="va">y</span><span class="op">)</span></span></span>
 <span class="r-in"><span><span class="fu">util_pareto_param_estimate</span><span class="op">(</span><span class="va">t</span><span class="op">)</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> <span style="color: #949494;"># A tibble: 2 × 8</span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span>   dist_type samp_size    min   max method  shape scale shape_ratio</span>
diff --git a/docs/reference/util_pareto_stats_tbl.html b/docs/reference/util_pareto_stats_tbl.html
index fed5d901..e89c5040 100644
--- a/docs/reference/util_pareto_stats_tbl.html
+++ b/docs/reference/util_pareto_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -136,7 +136,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_pareto.html">tidy_pareto</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_pareto_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_pareto"</span>
diff --git a/docs/reference/util_poisson_aic.html b/docs/reference/util_poisson_aic.html
index 7b2241f9..3b66ed50 100644
--- a/docs/reference/util_poisson_aic.html
+++ b/docs/reference/util_poisson_aic.html
@@ -12,7 +12,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_poisson_param_estimate.html b/docs/reference/util_poisson_param_estimate.html
index c27b7a88..b7009711 100644
--- a/docs/reference/util_poisson_param_estimate.html
+++ b/docs/reference/util_poisson_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_poisson_stats_tbl.html b/docs/reference/util_poisson_stats_tbl.html
index 16037c48..f4f2536e 100644
--- a/docs/reference/util_poisson_stats_tbl.html
+++ b/docs/reference/util_poisson_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -133,7 +133,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_poisson.html">tidy_poisson</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_poisson_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_poisson"</span>
diff --git a/docs/reference/util_t_aic.html b/docs/reference/util_t_aic.html
index 8a7d7172..07cf2841 100644
--- a/docs/reference/util_t_aic.html
+++ b/docs/reference/util_t_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_t_param_estimate.html b/docs/reference/util_t_param_estimate.html
index 07caed12..e87c9558 100644
--- a/docs/reference/util_t_param_estimate.html
+++ b/docs/reference/util_t_param_estimate.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_t_stats_tbl.html b/docs/reference/util_t_stats_tbl.html
index 2eb8e3ef..d83e1f68 100644
--- a/docs/reference/util_t_stats_tbl.html
+++ b/docs/reference/util_t_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -129,7 +129,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_t.html">tidy_t</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_t_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_t"</span>
diff --git a/docs/reference/util_triangular_aic.html b/docs/reference/util_triangular_aic.html
index 1c99bf53..84bef91e 100644
--- a/docs/reference/util_triangular_aic.html
+++ b/docs/reference/util_triangular_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_triangular_param_estimate.html b/docs/reference/util_triangular_param_estimate.html
index b6451547..0fd09750 100644
--- a/docs/reference/util_triangular_param_estimate.html
+++ b/docs/reference/util_triangular_param_estimate.html
@@ -20,7 +20,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_triangular_stats_tbl.html b/docs/reference/util_triangular_stats_tbl.html
index 9c2e0eff..5563bc9a 100644
--- a/docs/reference/util_triangular_stats_tbl.html
+++ b/docs/reference/util_triangular_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
 <span class="r-in"><span></span></span>
 <span class="r-in"><span><span class="fu"><a href="tidy_triangular.html">tidy_triangular</a></span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
 <span class="r-in"><span>  <span class="fu">util_triangular_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 19</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_triangular"</span>
diff --git a/docs/reference/util_uniform_aic.html b/docs/reference/util_uniform_aic.html
index 6359b650..aca76de7 100644
--- a/docs/reference/util_uniform_aic.html
+++ b/docs/reference/util_uniform_aic.html
@@ -14,7 +14,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_uniform_param_estimate.html b/docs/reference/util_uniform_param_estimate.html
index 334cc677..cc5739da 100644
--- a/docs/reference/util_uniform_param_estimate.html
+++ b/docs/reference/util_uniform_param_estimate.html
@@ -16,7 +16,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
diff --git a/docs/reference/util_uniform_stats_tbl.html b/docs/reference/util_uniform_stats_tbl.html
index 50ad2965..631b091e 100644
--- a/docs/reference/util_uniform_stats_tbl.html
+++ b/docs/reference/util_uniform_stats_tbl.html
@@ -10,7 +10,7 @@
     
     <a class="navbar-brand me-2" href="../index.html">TidyDensity</a>
 
-    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.4.0.9000</small>
+    <small class="nav-text text-muted me-auto" data-bs-toggle="tooltip" data-bs-placement="bottom" title="">1.5.0.9000</small>
 
     
     <button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbar" aria-controls="navbar" aria-expanded="false" aria-label="Toggle navigation">
@@ -130,7 +130,7 @@ <h2 id="ref-examples">Examples<a class="anchor" aria-label="anchor" href="#ref-e
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 <span class="r-in"><span>  <span class="fu">util_weibull_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
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-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
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 <span class="r-in"><span><span class="va">output</span><span class="op">$</span><span class="va">parameter_tbl</span></span></span>
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index e9699586..49a74080 100644
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 <span class="r-in"><span>  <span class="fu">util_zero_truncated_poisson_stats_tbl</span><span class="op">(</span><span class="op">)</span> <span class="op">|&gt;</span></span></span>
-<span class="r-in"><span>  <span class="fu"><a href="https://rdrr.io/pkg/pillar/man/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
+<span class="r-in"><span>  <span class="fu"><a href="https://pillar.r-lib.org/reference/glimpse.html" class="external-link">glimpse</a></span><span class="op">(</span><span class="op">)</span></span></span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Rows: 1</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> Columns: 17</span>
 <span class="r-out co"><span class="r-pr">#&gt;</span> $ tidy_function     <span style="color: #949494; font-style: italic;">&lt;chr&gt;</span> "tidy_zero_truncated_poisson"</span>
diff --git a/docs/search.json b/docs/search.json
index c4e8ea61..d7b01cae 100644
--- a/docs/search.json
+++ b/docs/search.json
@@ -1 +1 @@
-[{"path":"https://www.spsanderson.com/TidyDensity/articles/getting-started.html","id":"example","dir":"Articles","previous_headings":"","what":"Example","title":"Getting Started with TidyDensity","text":"basic example shows easy generate data TidyDensity: example plot tidy_normal data.     can also take look plots number simulations greater nine. automatically turn legend become noisy.","code":"library(TidyDensity) library(dplyr) library(ggplot2)  tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x        y    dx       dy       p        q #>    <fct>      <int>    <dbl> <dbl>    <dbl>   <dbl>    <dbl> #>  1 1              1 -1.40    -3.47 0.000263 0.0808  -1.40    #>  2 1              2  0.255   -3.32 0.000879 0.601    0.255   #>  3 1              3 -2.44    -3.17 0.00246  0.00740 -2.44    #>  4 1              4 -0.00557 -3.02 0.00581  0.498   -0.00557 #>  5 1              5  0.622   -2.88 0.0118   0.733    0.622   #>  6 1              6  1.15    -2.73 0.0209   0.875    1.15    #>  7 1              7 -1.82    -2.58 0.0338   0.0342  -1.82    #>  8 1              8 -0.247   -2.43 0.0513   0.402   -0.247   #>  9 1              9 -0.244   -2.28 0.0742   0.404   -0.244   #> 10 1             10 -0.283   -2.14 0.102    0.389   -0.283   #> # ℹ 40 more rows tn <- tidy_normal(.n = 100, .num_sims = 6)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\") tn <- tidy_normal(.n = 100, .num_sims = 20)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Steven Sanderson. Author, maintainer, copyright holder.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Sanderson S (2024). TidyDensity: Functions Tidy Analysis Generation Random Data. R package version 1.4.0.9000, https://github.com/spsanderson/TidyDensity.","code":"@Manual{,   title = {TidyDensity: Functions for Tidy Analysis and Generation of Random Data},   author = {Steven Sanderson},   year = {2024},   note = {R package version 1.4.0.9000},   url = {https://github.com/spsanderson/TidyDensity}, }"},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"our-pledge","dir":"","previous_headings":"","what":"Our Pledge","title":"Contributor Covenant Code of Conduct","text":"members, contributors, leaders pledge make participation community harassment-free experience everyone, regardless age, body size, visible invisible disability, ethnicity, sex characteristics, gender identity expression, level experience, education, socio-economic status, nationality, personal appearance, race, religion, sexual identity orientation. pledge act interact ways contribute open, welcoming, diverse, inclusive, healthy community.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"our-standards","dir":"","previous_headings":"","what":"Our Standards","title":"Contributor Covenant Code of Conduct","text":"Examples behavior contributes positive environment community include: Demonstrating empathy kindness toward people respectful differing opinions, viewpoints, experiences Giving gracefully accepting constructive feedback Accepting responsibility apologizing affected mistakes, learning experience Focusing best just us individuals, overall community Examples unacceptable behavior include: use sexualized language imagery, sexual attention advances kind Trolling, insulting derogatory comments, personal political attacks Public private harassment Publishing others’ private information, physical email address, without explicit permission conduct reasonably considered inappropriate professional setting","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement-responsibilities","dir":"","previous_headings":"","what":"Enforcement Responsibilities","title":"Contributor Covenant Code of Conduct","text":"Community leaders responsible clarifying enforcing standards acceptable behavior take appropriate fair corrective action response behavior deem inappropriate, threatening, offensive, harmful. Community leaders right responsibility remove, edit, reject comments, commits, code, wiki edits, issues, contributions aligned Code Conduct, communicate reasons moderation decisions appropriate.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"scope","dir":"","previous_headings":"","what":"Scope","title":"Contributor Covenant Code of Conduct","text":"Code Conduct applies within community spaces, also applies individual officially representing community public spaces. Examples representing community include using official e-mail address, posting via official social media account, acting appointed representative online offline event.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement","dir":"","previous_headings":"","what":"Enforcement","title":"Contributor Covenant Code of Conduct","text":"Instances abusive, harassing, otherwise unacceptable behavior may reported community leaders responsible enforcement spsanderson@gmail.com. complaints reviewed investigated promptly fairly. community leaders obligated respect privacy security reporter incident.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement-guidelines","dir":"","previous_headings":"","what":"Enforcement Guidelines","title":"Contributor Covenant Code of Conduct","text":"Community leaders follow Community Impact Guidelines determining consequences action deem violation Code Conduct:","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_1-correction","dir":"","previous_headings":"Enforcement Guidelines","what":"1. Correction","title":"Contributor Covenant Code of Conduct","text":"Community Impact: Use inappropriate language behavior deemed unprofessional unwelcome community. Consequence: private, written warning community leaders, providing clarity around nature violation explanation behavior inappropriate. public apology may requested.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_2-warning","dir":"","previous_headings":"Enforcement Guidelines","what":"2. Warning","title":"Contributor Covenant Code of Conduct","text":"Community Impact: violation single incident series actions. Consequence: warning consequences continued behavior. interaction people involved, including unsolicited interaction enforcing Code Conduct, specified period time. includes avoiding interactions community spaces well external channels like social media. Violating terms may lead temporary permanent ban.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_3-temporary-ban","dir":"","previous_headings":"Enforcement Guidelines","what":"3. Temporary Ban","title":"Contributor Covenant Code of Conduct","text":"Community Impact: serious violation community standards, including sustained inappropriate behavior. Consequence: temporary ban sort interaction public communication community specified period time. public private interaction people involved, including unsolicited interaction enforcing Code Conduct, allowed period. Violating terms may lead permanent ban.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_4-permanent-ban","dir":"","previous_headings":"Enforcement Guidelines","what":"4. Permanent Ban","title":"Contributor Covenant Code of Conduct","text":"Community Impact: Demonstrating pattern violation community standards, including sustained inappropriate behavior, harassment individual, aggression toward disparagement classes individuals. Consequence: permanent ban sort public interaction within community.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"attribution","dir":"","previous_headings":"","what":"Attribution","title":"Contributor Covenant Code of Conduct","text":"Code Conduct adapted Contributor Covenant, version 2.0, available https://www.contributor-covenant.org/version/2/0/code_of_conduct.html. Community Impact Guidelines inspired Mozilla’s code conduct enforcement ladder. answers common questions code conduct, see FAQ https://www.contributor-covenant.org/faq. Translations available https://www.contributor-covenant.org/translations.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"tidydensity-","dir":"","previous_headings":"","what":"Functions for Tidy Analysis and Generation of Random Data","title":"Functions for Tidy Analysis and Generation of Random Data","text":"goal TidyDensity make working random numbers different distributions easy. tidy_ distribution functions provide following components: [r_] [d_] [q_] [p_]","code":""},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Functions for Tidy Analysis and Generation of Random Data","text":"can install released version TidyDensity CRAN : development version GitHub :","code":"install.packages(\"TidyDensity\") # install.packages(\"devtools\") devtools::install_github(\"spsanderson/TidyDensity\")"},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"example","dir":"","previous_headings":"","what":"Example","title":"Functions for Tidy Analysis and Generation of Random Data","text":"basic example shows solve common problem: example plot tidy_normal data.     can also take look plots number simulations greater nine. automatically turn legend become noisy.","code":"library(TidyDensity) library(dplyr) library(ggplot2)  tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x      y    dx       dy     p      q #>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1  0.227 -2.97 0.000238 0.590  0.227 #>  2 1              2  1.12  -2.84 0.000640 0.869  1.12  #>  3 1              3  1.26  -2.71 0.00153  0.897  1.26  #>  4 1              4  0.204 -2.58 0.00326  0.581  0.204 #>  5 1              5  1.04  -2.44 0.00620  0.852  1.04  #>  6 1              6 -0.180 -2.31 0.0106   0.429 -0.180 #>  7 1              7  0.299 -2.18 0.0167   0.618  0.299 #>  8 1              8  1.73  -2.04 0.0243   0.959  1.73  #>  9 1              9 -0.770 -1.91 0.0338   0.221 -0.770 #> 10 1             10  0.385 -1.78 0.0463   0.650  0.385 #> # ℹ 40 more rows tn <- tidy_normal(.n = 100, .num_sims = 6)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\") tn <- tidy_normal(.n = 100, .num_sims = 20)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/LICENSE.html","id":null,"dir":"","previous_headings":"","what":"MIT License","title":"MIT License","text":"Copyright (c) 2022 Steven Paul Sandeson II, MPH Permission hereby granted, free charge, person obtaining copy software associated documentation files (“Software”), deal Software without restriction, including without limitation rights use, copy, modify, merge, publish, distribute, sublicense, /sell copies Software, permit persons Software furnished , subject following conditions: copyright notice permission notice shall included copies substantial portions Software. SOFTWARE PROVIDED “”, WITHOUT WARRANTY KIND, EXPRESS IMPLIED, INCLUDING LIMITED WARRANTIES MERCHANTABILITY, FITNESS PARTICULAR PURPOSE NONINFRINGEMENT. EVENT SHALL AUTHORS COPYRIGHT HOLDERS LIABLE CLAIM, DAMAGES LIABILITY, WHETHER ACTION CONTRACT, TORT OTHERWISE, ARISING , CONNECTION SOFTWARE USE DEALINGS SOFTWARE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Density Tibble — bootstrap_density_augment","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"Add density information output tidy_bootstrap(), bootstrap_unnest_tbl().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"","code":"bootstrap_density_augment(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":".data data passed tidy_bootstrap() bootstrap_unnest_tbl() functions.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"function takes input output tidy_bootstrap() bootstrap_unnest_tbl() returns augmented tibble following columns added : x, y, dx, dy. looks attribute comes using tidy_bootstrap() bootstrap_unnest_tbl() work unless data comes one functions.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_density_augment() #> # A tibble: 50,000 × 5 #>    sim_number     x     y    dx       dy #>    <fct>      <int> <dbl> <dbl>    <dbl> #>  1 1              1  17.3  6.48 0.000412 #>  2 1              2  15.2  7.33 0.00231  #>  3 1              3  16.4  8.17 0.00856  #>  4 1              4  15    9.01 0.0209   #>  5 1              5  18.7  9.86 0.0340   #>  6 1              6  18.1 10.7  0.0376   #>  7 1              7  10.4 11.5  0.0316   #>  8 1              8  10.4 12.4  0.0286   #>  9 1              9  15   13.2  0.0391   #> 10 1             10  21.4 14.1  0.0607   #> # ℹ 49,990 more rows  tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_density_augment() #> # A tibble: 50,000 × 5 #>    sim_number     x     y    dx       dy #>    <fct>      <int> <dbl> <dbl>    <dbl> #>  1 1              1  14.7  6.80 0.000150 #>  2 1              2  21.5  8.08 0.00206  #>  3 1              3  19.2  9.36 0.00914  #>  4 1              4  26   10.6  0.0131   #>  5 1              5  22.8 11.9  0.00739  #>  6 1              6  15   13.2  0.0114   #>  7 1              7  19.2 14.5  0.0272   #>  8 1              8  21   15.8  0.0365   #>  9 1              9  21   17.0  0.0609   #> 10 1             10  17.3 18.3  0.0977   #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Augment Bootstrap P — bootstrap_p_augment","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Takes numeric vector return ecdf probability.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Augment Bootstrap P — bootstrap_p_augment","text":"","code":"bootstrap_p_augment(.data, .value, .names = \"auto\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Augment Bootstrap P — bootstrap_p_augment","text":".data data passed augmented function. .value passed rlang::enquo() capture vectors want augment. .names default \"auto\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Augment Bootstrap P — bootstrap_p_augment","text":"augmented tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Takes numeric vector return ecdf probability vector. function intended used order add columns tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Augment Bootstrap P — bootstrap_p_augment","text":"","code":"x <- mtcars$mpg tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_p_augment(y) #> # A tibble: 50,000 × 3 #>    sim_number     y      p #>    <fct>      <dbl>  <dbl> #>  1 1           21.4 0.687  #>  2 1           21.5 0.716  #>  3 1           18.7 0.467  #>  4 1           30.4 0.936  #>  5 1           13.3 0.0944 #>  6 1           21.5 0.716  #>  7 1           19.2 0.529  #>  8 1           19.2 0.529  #>  9 1           21.4 0.687  #> 10 1           21.4 0.687  #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Bootstrap P of a Vector — bootstrap_p_vec","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"function takes vector input return ecdf probability vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"","code":"bootstrap_p_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":".x numeric","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"function return ecdf probability vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"","code":"x <- mtcars$mpg bootstrap_p_vec(x) #>  [1] 0.62500 0.62500 0.78125 0.68750 0.46875 0.43750 0.12500 0.81250 0.78125 #> [10] 0.53125 0.40625 0.34375 0.37500 0.25000 0.06250 0.06250 0.15625 0.96875 #> [19] 0.93750 1.00000 0.71875 0.28125 0.25000 0.09375 0.53125 0.87500 0.84375 #> [28] 0.93750 0.31250 0.56250 0.18750 0.68750"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Augment Bootstrap Q — bootstrap_q_augment","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Takes numeric vector return quantile.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"","code":"bootstrap_q_augment(.data, .value, .names = \"auto\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Augment Bootstrap Q — bootstrap_q_augment","text":".data data passed augmented function. .value passed rlang::enquo() capture vectors want augment. .names default \"auto\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"augmented tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Takes numeric vector return quantile vector. function intended used order add columns tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_q_augment(y) #> # A tibble: 50,000 × 3 #>    sim_number     y     q #>    <fct>      <dbl> <dbl> #>  1 1           21    10.4 #>  2 1           10.4  10.4 #>  3 1           21.4  10.4 #>  4 1           30.4  10.4 #>  5 1           30.4  10.4 #>  6 1           15.2  10.4 #>  7 1           21.5  10.4 #>  8 1           33.9  10.4 #>  9 1           18.1  10.4 #> 10 1           21    10.4 #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"function takes vector input return quantile vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"","code":"bootstrap_q_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":".x numeric","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"function return quantile vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"","code":"x <- mtcars$mpg  bootstrap_q_vec(x) #>  [1] 10.4 10.4 13.3 14.3 14.7 15.0 15.2 15.2 15.5 15.8 16.4 17.3 17.8 18.1 18.7 #> [16] 19.2 19.2 19.7 21.0 21.0 21.4 21.4 21.5 22.8 22.8 24.4 26.0 27.3 30.4 30.4 #> [31] 32.4 33.9"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Stat Plot — bootstrap_stat_plot","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"function produces plot cumulative statistic function applied bootstrap variable tidy_bootstrap() bootstrap_unnest_tbl() applied .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"","code":"bootstrap_stat_plot(   .data,   .value,   .stat = \"cmean\",   .show_groups = FALSE,   .show_ci_labels = TRUE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":".data data comes either tidy_bootstrap() bootstrap_unnest_tbl() applied . .value value column calculations applied . .stat cumulative statistic function applied .value column. must quoted. default \"cmean\". .show_groups default FALSE, set TRUE get output simulations bootstrap data. .show_ci_labels default TRUE, show last value upper lower quantile. .interactive default FALSE, set TRUE get plotly plot object back.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"plot either ggplot2 plotly.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"function take data either tidy_bootstrap() directly apply bootstrap_unnest_tbl() output. several different cumulative functions can applied data.accepted values : \"cmean\" - Cumulative Mean \"chmean\" - Cumulative Harmonic Mean \"cgmean\" - Cumulative Geometric Mean \"csum\" = Cumulative Sum \"cmedian\" = Cumulative Median \"cmax\" = Cumulative Max \"cmin\" = Cumulative Min \"cprod\" = Cumulative Product \"csd\" = Cumulative Standard Deviation \"cvar\" = Cumulative Variance \"cskewness\" = Cumulative Skewness \"ckurtosis\" = Cumulative Kurtotsis","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_stat_plot(y, \"cmean\")   tidy_bootstrap(x, .num_sims = 10) |>   bootstrap_stat_plot(y,     .stat = \"chmean\", .show_groups = TRUE,     .show_ci_label = FALSE   ) #> Warning: Setting '.num_sims' to less than 2000 means that results can be potentially #> unstable. Consider setting to 2000 or more."},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"Unnest data output tidy_bootstrap().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"","code":"bootstrap_unnest_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":".data data passed tidy_bootstrap() function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"function takes input output tidy_bootstrap() function returns two column tibble. columns sim_number y looks attribute comes using tidy_bootstrap() work unless data comes function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"","code":"tb <- tidy_bootstrap(.x = mtcars$mpg) bootstrap_unnest_tbl(tb) #> # A tibble: 50,000 × 2 #>    sim_number     y #>    <fct>      <dbl> #>  1 1           21.4 #>  2 1           21   #>  3 1           26   #>  4 1           19.7 #>  5 1           10.4 #>  6 1           15.5 #>  7 1           32.4 #>  8 1           22.8 #>  9 1           26   #> 10 1           17.3 #> # ℹ 49,990 more rows  bootstrap_unnest_tbl(tb) |>   tidy_distribution_summary_tbl(sim_number) #> # A tibble: 2,000 × 13 #>    sim_number mean_val median_val std_val min_val max_val skewness kurtosis #>    <fct>         <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> #>  1 1              18.3       18.7    5.85    10.4    32.4  0.410       2.75 #>  2 2              19.2       18.1    4.73    10.4    30.4  0.909       3.75 #>  3 3              21.7       19.2    6.68    10.4    33.9  0.689       2.40 #>  4 4              20.3       19.2    5.72    10.4    32.4  0.567       2.46 #>  5 5              20.8       21.4    6.93    10.4    33.9  0.431       2.22 #>  6 6              23.1       21.4    6.97    10.4    33.9  0.00625     1.68 #>  7 7              23.1       21.4    5.94    10.4    33.9  0.119       2.74 #>  8 8              19.5       21      5.84    10.4    33.9  0.349       2.83 #>  9 9              20.1       18.1    6.71    10.4    33.9  0.887       2.75 #> 10 10             19.6       19.2    5.04    10.4    33.9  0.732       3.84 #> # ℹ 1,990 more rows #> # ℹ 5 more variables: range <dbl>, iqr <dbl>, variance <dbl>, ci_low <dbl>, #> #   ci_high <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Geometric Mean — cgmean","title":"Cumulative Geometric Mean — cgmean","text":"function return cumulative geometric mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Geometric Mean — cgmean","text":"","code":"cgmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Geometric Mean — cgmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Geometric Mean — cgmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Geometric Mean — cgmean","text":"function return cumulative geometric mean vector. exp(cummean(log(.x)))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Geometric Mean — cgmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Geometric Mean — cgmean","text":"","code":"x <- mtcars$mpg  cgmean(x) #>  [1] 21.00000 21.00000 21.58363 21.53757 20.93755 20.43547 19.41935 19.98155 #>  [9] 20.27666 20.16633 19.93880 19.61678 19.42805 19.09044 18.33287 17.69470 #> [17] 17.50275 18.11190 18.61236 19.17879 19.28342 19.09293 18.90457 18.62961 #> [25] 18.65210 18.92738 19.15126 19.46993 19.33021 19.34242 19.18443 19.25006"},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":null,"dir":"Reference","previous_headings":"","what":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"function checks duplicate rows data frame.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"","code":"check_duplicate_rows(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":".data data frame.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"logical vector indicating whether row duplicate .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"function checks duplicate rows comparing row data frame every row. row identical another row, considered duplicate.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"","code":"data <- data.frame(   x = c(1, 2, 3, 1),   y = c(2, 3, 4, 2),   z = c(3, 2, 5, 3) )  check_duplicate_rows(data) #> [1] FALSE  TRUE FALSE FALSE"},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Harmonic Mean — chmean","title":"Cumulative Harmonic Mean — chmean","text":"function return cumulative harmonic mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Harmonic Mean — chmean","text":"","code":"chmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Harmonic Mean — chmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Harmonic Mean — chmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Harmonic Mean — chmean","text":"function return cumulative harmonic mean vector. 1 / (cumsum(1 / .x))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Harmonic Mean — chmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Harmonic Mean — chmean","text":"","code":"x <- mtcars$mpg  chmean(x) #>  [1] 21.0000000 10.5000000  7.1891892  5.3813575  4.1788087  3.3949947 #>  [7]  2.7436247  2.4663044  2.2255626  1.9943841  1.7934398  1.6166494 #> [13]  1.4784877  1.3474251  1.1928760  1.0701322  0.9975150  0.9677213 #> [19]  0.9378663  0.9126181  0.8754572  0.8286539  0.7858140  0.7419753 #> [25]  0.7143688  0.6961523  0.6779989  0.6632076  0.6364908  0.6165699 #> [31]  0.5922267  0.5762786"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":null,"dir":"Reference","previous_headings":"","what":"Confidence Interval Generic — ci_hi","title":"Confidence Interval Generic — ci_hi","text":"Gets upper 97.5% quantile numeric vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Confidence Interval Generic — ci_hi","text":"","code":"ci_hi(.x, .na_rm = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Confidence Interval Generic — ci_hi","text":".x vector numeric values .na_rm Boolean, defaults FALSE. Passed quantile function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Confidence Interval Generic — ci_hi","text":"numeric value.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Confidence Interval Generic — ci_hi","text":"Gets upper 97.5% quantile numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Confidence Interval Generic — ci_hi","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Confidence Interval Generic — ci_hi","text":"","code":"x <- mtcars$mpg ci_hi(x) #> [1] 32.7375"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":null,"dir":"Reference","previous_headings":"","what":"Confidence Interval Generic — ci_lo","title":"Confidence Interval Generic — ci_lo","text":"Gets lower 2.5% quantile numeric vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Confidence Interval Generic — ci_lo","text":"","code":"ci_lo(.x, .na_rm = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Confidence Interval Generic — ci_lo","text":".x vector numeric values .na_rm Boolean, defaults FALSE. Passed quantile function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Confidence Interval Generic — ci_lo","text":"numeric value.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Confidence Interval Generic — ci_lo","text":"Gets lower 2.5% quantile numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Confidence Interval Generic — ci_lo","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Confidence Interval Generic — ci_lo","text":"","code":"x <- mtcars$mpg ci_lo(x) #> [1] 10.4"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Kurtosis — ckurtosis","title":"Cumulative Kurtosis — ckurtosis","text":"function return cumulative kurtosis vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Kurtosis — ckurtosis","text":"","code":"ckurtosis(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Kurtosis — ckurtosis","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Kurtosis — ckurtosis","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Kurtosis — ckurtosis","text":"function return cumulative kurtosis vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Kurtosis — ckurtosis","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Kurtosis — ckurtosis","text":"","code":"x <- mtcars$mpg  ckurtosis(x) #>  [1]      NaN      NaN 1.500000 2.189216 2.518932 1.786006 2.744467 2.724675 #>  [9] 2.930885 2.988093 2.690270 2.269038 2.176622 1.992044 2.839430 2.481896 #> [17] 2.356826 3.877115 3.174702 2.896931 3.000743 3.091225 3.182071 3.212816 #> [25] 3.352916 3.015952 2.837139 2.535185 2.595908 2.691103 2.738468 2.799467"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Mean — cmean","title":"Cumulative Mean — cmean","text":"function return cumulative mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Mean — cmean","text":"","code":"cmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Mean — cmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Mean — cmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Mean — cmean","text":"function return cumulative mean vector. uses dplyr::cummean() basis function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Mean — cmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Mean — cmean","text":"","code":"x <- mtcars$mpg  cmean(x) #>  [1] 21.00000 21.00000 21.60000 21.55000 20.98000 20.50000 19.61429 20.21250 #>  [9] 20.50000 20.37000 20.13636 19.82500 19.63077 19.31429 18.72000 18.20000 #> [17] 17.99412 18.79444 19.40526 20.13000 20.19524 19.98182 19.77391 19.50417 #> [25] 19.49200 19.79231 20.02222 20.39286 20.23448 20.21667 20.04839 20.09062"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Median — cmedian","title":"Cumulative Median — cmedian","text":"function return cumulative median vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Median — cmedian","text":"","code":"cmedian(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Median — cmedian","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Median — cmedian","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Median — cmedian","text":"function return cumulative median vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Median — cmedian","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Median — cmedian","text":"","code":"x <- mtcars$mpg  cmedian(x) #>  [1] 21.00 21.00 21.00 21.20 21.00 21.00 21.00 21.00 21.00 21.00 21.00 20.10 #> [13] 19.20 18.95 18.70 18.40 18.10 18.40 18.70 18.95 19.20 18.95 18.70 18.40 #> [25] 18.70 18.95 19.20 19.20 19.20 19.20 19.20 19.20"},{"path":"https://www.spsanderson.com/TidyDensity/reference/color_blind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — color_blind","title":"Provide Colorblind Compliant Colors — color_blind","text":"8 Hex RGB color definitions suitable charts colorblind people.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/color_blind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — color_blind","text":"","code":"color_blind()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert Data to Time Series Format — convert_to_ts","title":"Convert Data to Time Series Format — convert_to_ts","text":"function converts data data frame tibble time series format. designed work data generated tidy_ distribution functions. function can return time series data, pivot long format, .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert Data to Time Series Format — convert_to_ts","text":"","code":"convert_to_ts(.data, .return_ts = TRUE, .pivot_longer = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert Data to Time Series Format — convert_to_ts","text":".data data frame tibble converted time series format. .return_ts logical value indicating whether return time series data. Default TRUE. .pivot_longer logical value indicating whether pivot data long format. Default FALSE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert Data to Time Series Format — convert_to_ts","text":"function returns processed data based chosen options: ret_ts set TRUE, returns time series data. pivot_longer set TRUE, returns data long format. options set FALSE, returns data tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Convert Data to Time Series Format — convert_to_ts","text":"function takes data frame tibble input processes based specified options. performs following actions: Checks input data frame tibble; otherwise, raises error. Checks data comes tidy_ distribution function; otherwise, raises error. Converts data time series format, grouping \"sim_number\" transforming \"y\" column time series. Returns result based chosen options: ret_ts set TRUE, returns time series data. pivot_longer set TRUE, pivots data long format. options set FALSE, returns data tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Convert Data to Time Series Format — convert_to_ts","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Convert Data to Time Series Format — convert_to_ts","text":"","code":"# Example 1: Convert data to time series format without returning time series data x <- tidy_normal() result <- convert_to_ts(x, FALSE) head(result) #> # A tibble: 6 × 1 #>        y #>    <dbl> #> 1  1.99  #> 2  0.416 #> 3 -0.362 #> 4 -0.282 #> 5  0.404 #> 6 -0.694  # Example 2: Convert data to time series format and pivot it into long format x <- tidy_normal() result <- convert_to_ts(x, FALSE, TRUE) head(result) #> # A tibble: 6 × 1 #>        y #>    <dbl> #> 1 -0.912 #> 2 -0.732 #> 3 -0.582 #> 4  0.204 #> 5 -0.661 #> 6 -2.18   # Example 3: Convert data to time series format and return the time series data x <- tidy_normal() result <- convert_to_ts(x) head(result) #>               y #> [1,] -0.1348973 #> [2,]  0.6769697 #> [3,] -0.5048327 #> [4,] -0.8381438 #> [5,] -2.9578102 #> [6,]  1.1051425"},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Standard Deviation — csd","title":"Cumulative Standard Deviation — csd","text":"function return cumulative standard deviation vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Standard Deviation — csd","text":"","code":"csd(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Standard Deviation — csd","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Standard Deviation — csd","text":"numeric vector. Note: first entry always NaN.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Standard Deviation — csd","text":"function return cumulative standard deviation vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Standard Deviation — csd","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Standard Deviation — csd","text":"","code":"x <- mtcars$mpg  csd(x) #>  [1]       NaN 0.0000000 1.0392305 0.8544004 1.4737707 1.7663522 2.8445436 #>  [8] 3.1302385 3.0524580 2.9070986 2.8647069 2.9366416 2.8975233 3.0252418 #> [15] 3.7142967 4.1476098 4.1046423 5.2332053 5.7405452 6.4594362 6.3029736 #> [22] 6.2319940 6.1698105 6.1772007 6.0474457 6.1199296 6.1188444 6.3166405 #> [29] 6.2611772 6.1530527 6.1217574 6.0269481"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Skewness — cskewness","title":"Cumulative Skewness — cskewness","text":"function return cumulative skewness vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Skewness — cskewness","text":"","code":"cskewness(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Skewness — cskewness","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Skewness — cskewness","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Skewness — cskewness","text":"function return cumulative skewness vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Skewness — cskewness","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Skewness — cskewness","text":"","code":"x <- mtcars$mpg  cskewness(x) #>  [1]          NaN          NaN  0.707106781  0.997869718 -0.502052297 #>  [6] -0.258803244 -0.867969171 -0.628239920 -0.808101715 -0.695348960 #> [11] -0.469220594 -0.256323338 -0.091505282  0.002188142 -0.519593266 #> [16] -0.512660692 -0.379598706  0.614549281  0.581410573  0.649357202 #> [21]  0.631855977  0.706212631  0.775750182  0.821447605  0.844413861 #> [26]  0.716010069  0.614326432  0.525141032  0.582528820  0.601075783 #> [31]  0.652552397  0.640439864"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Variance — cvar","title":"Cumulative Variance — cvar","text":"function return cumulative variance vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Variance — cvar","text":"","code":"cvar(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Variance — cvar","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Variance — cvar","text":"numeric vector. Note: first entry always NaN.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Variance — cvar","text":"function return cumulative variance vector. exp(cummean(log(.x)))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Variance — cvar","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Variance — cvar","text":"","code":"x <- mtcars$mpg  cvar(x) #>  [1]       NaN  0.000000  1.080000  0.730000  2.172000  3.120000  8.091429 #>  [8]  9.798393  9.317500  8.451222  8.206545  8.623864  8.395641  9.152088 #> [15] 13.796000 17.202667 16.848088 27.386438 32.953860 41.724316 39.727476 #> [22] 38.837749 38.066561 38.157808 36.571600 37.453538 37.440256 39.899947 #> [29] 39.202340 37.860057 37.475914 36.324103"},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":null,"dir":"Reference","previous_headings":"","what":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"Get distribution name title case tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"","code":"dist_type_extractor(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":".x attribute list passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"character string","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"extract distribution type tidy_ distribution function output using attributes object. must pass attribute directly function. meant really used internally. passing using manually $tibble_type attribute.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"Steven P. Sanderson II,","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"","code":"tn <- tidy_normal() atb <- attributes(tn) dist_type_extractor(atb$tibble_type) #> [1] \"Gaussian\""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":null,"dir":"Reference","previous_headings":"","what":"Pipe operator — %>%","title":"Pipe operator — %>%","text":"See magrittr::%>% details.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Pipe operator — %>%","text":"","code":"lhs %>% rhs"},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Pipe operator — %>%","text":"lhs value magrittr placeholder. rhs function call using magrittr semantics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Pipe operator — %>%","text":"result calling rhs(lhs).","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":null,"dir":"Reference","previous_headings":"","what":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"function perform quantile normalization two distributions equal length. Quantile normalization technique used make distribution values across different samples similar. ensures distributions values sample quantiles. function takes numeric matrix input returns quantile-normalized matrix.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"","code":"quantile_normalize(.data, .return_tibble = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":".data numeric matrix column represents sample. .return_tibble logical value determines output tibble. Default 'FALSE'.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"list object following: numeric matrix quantile normalized. row means quantile normalized matrix. sorted data ranked indices","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"function performs quantile normalization numeric matrix following steps: Sort column input matrix. Calculate mean row across sorted columns. Replace column's sorted values row means. Unsort columns original order.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"","code":"# Create a sample numeric matrix data <- matrix(rnorm(20), ncol = 4)  # Perform quantile normalization normalized_data <- quantile_normalize(data) #> Warning: There are duplicated ranks the input data. normalized_data #> $normalized_data #>            [,1]       [,2]       [,3]       [,4] #> [1,] -0.3544741 -1.1887651  0.1402623  0.1402623 #> [2,] -1.1887651  0.1402623 -0.3544741 -0.3544741 #> [3,]  0.1402623 -0.3544741  0.6082141 -1.1887651 #> [4,]  1.5541985  1.5541985 -1.1887651  0.6082141 #> [5,]  0.6082141  0.6082141  1.5541985  1.5541985 #>  #> $row_means #> [1] -1.1887651 -0.3544741  0.1402623  0.6082141  1.5541985 #>  #> $duplicated_ranks #>      [,1] [,2] [,3] [,4] #> [1,]    5    2    1    2 #> [2,]    4    1    5    4 #> [3,]    2    3    3    1 #> [4,]    3    4    4    5 #>  #> $duplicated_rank_row_indices #> [1] 1 3 4 5 #>  #> $duplicated_rank_data #>              [,1]       [,2]       [,3]       [,4] #> [1,] -0.006202427 -0.1106733 -1.2344467  0.8044256 #> [2,]  2.531894845  0.1679075  0.7490085 -0.7630899 #> [3,]  0.212224663  0.6147875  1.2798579 -0.0333282 #> [4,] -2.150115206 -0.1142912  0.4928258  1.7902539 #>   as.data.frame(normalized_data$normalized_data) |>   sapply(function(x) quantile(x, probs = seq(0, 1, 1 / 4))) #>              V1         V2         V3         V4 #> 0%   -1.1887651 -1.1887651 -1.1887651 -1.1887651 #> 25%  -0.3544741 -0.3544741 -0.3544741 -0.3544741 #> 50%   0.1402623  0.1402623  0.1402623  0.1402623 #> 75%   0.6082141  0.6082141  0.6082141  0.6082141 #> 100%  1.5541985  1.5541985  1.5541985  1.5541985  quantile_normalize( data.frame(rnorm(30),            rnorm(30)),            .return_tibble = TRUE) #> Warning: There are duplicated ranks the input data. #> $normalized_data #> # A tibble: 30 × 2 #>    rnorm.30. rnorm.30..1 #>        <dbl>       <dbl> #>  1    -0.341      1.51   #>  2    -0.744      0.983  #>  3     0.109      0.645  #>  4     0.346     -0.150  #>  5     1.26      -0.316  #>  6    -0.551     -0.874  #>  7     0.346     -1.60   #>  8     0.719     -0.0315 #>  9    -1.81      -0.670  #> 10    -1.37      -0.403  #> # ℹ 20 more rows #>  #> $row_means #> # A tibble: 30 × 1 #>     value #>     <dbl> #>  1 -1.81  #>  2 -1.60  #>  3 -1.37  #>  4 -1.18  #>  5 -1.01  #>  6 -0.874 #>  7 -0.744 #>  8 -0.670 #>  9 -0.551 #> 10 -0.403 #> # ℹ 20 more rows #>  #> $duplicated_ranks #> # A tibble: 2 × 1 #>   value #>   <int> #> 1     8 #> 2     8 #>  #> $duplicated_rank_row_indices #> # A tibble: 1 × 1 #>   row_index #>       <int> #> 1        23 #>  #> $duplicated_rank_data #> # A tibble: 2 × 1 #>    value #>    <dbl> #> 1  0.727 #> 2 -0.566 #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"Provide Colorblind Compliant Colors","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"","code":"td_scale_color_colorblind(..., theme = \"td\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"... Data passed function theme defaults td allowed value","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"Provide Colorblind Compliant Colors","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"","code":"td_scale_fill_colorblind(..., theme = \"td\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"... Data passed function theme defaults td allowed value","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidyeval.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy eval helpers — tidyeval","title":"Tidy eval helpers — tidyeval","text":"page lists tidy eval tools reexported package rlang. learn using tidy eval scripts packages high level, see dplyr programming vignette ggplot2 packages vignette. Metaprogramming section Advanced R may also useful deeper dive. tidy eval operators {{, !!, !!! syntactic constructs specially interpreted tidy eval functions. mostly need {{, !! !!! advanced operators use simple cases. curly-curly operator {{ allows tunnel data-variables passed function arguments inside tidy eval functions. {{ designed individual arguments. pass multiple arguments contained dots, use ... normal way.   enquo() enquos() delay execution one several function arguments. former returns single expression, latter returns list expressions. defused, expressions longer evaluate . must injected back evaluation context !! (single expression) !!! (list expressions).   simple case, code equivalent usage {{ ... . Defusing enquo() enquos() needed complex cases, instance need inspect modify expressions way. .data pronoun object represents current slice data. variable name string, use .data pronoun subset variable [[.   Another tidy eval operator :=. makes possible use glue curly-curly syntax LHS =. technical reasons, R language support complex expressions left =, use := workaround.   Many tidy eval functions like dplyr::mutate() dplyr::summarise() give automatic name unnamed inputs. need create sort automatic names , use as_label(). instance, glue-tunnelling syntax can reproduced manually :   Expressions defused enquo() (tunnelled {{) need simple column names, can arbitrarily complex. as_label() handles cases gracefully. code assumes simple column name, use as_name() instead. safer throws error input name expected.","code":"my_function <- function(data, var, ...) {    data %>%      group_by(...) %>%      summarise(mean = mean({{ var }}))  } my_function <- function(data, var, ...) {    # Defuse    var <- enquo(var)    dots <- enquos(...)      # Inject    data %>%      group_by(!!!dots) %>%      summarise(mean = mean(!!var))  } my_var <- \"disp\"  mtcars %>% summarise(mean = mean(.data[[my_var]])) my_function <- function(data, var, suffix = \"foo\") {    # Use `{{` to tunnel function arguments and the usual glue    # operator `{` to interpolate plain strings.    data %>%      summarise(\"{{ var }}_mean_{suffix}\" := mean({{ var }}))  } my_function <- function(data, var, suffix = \"foo\") {    var <- enquo(var)    prefix <- as_label(var)    data %>%      summarise(\"{prefix}_mean_{suffix}\" := mean(!!var))  }"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Density Data — tidy_autoplot","title":"Automatic Plot of Density Data — tidy_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Density Data — tidy_autoplot","text":"","code":"tidy_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Density Data — tidy_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Density Data — tidy_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Density Data — tidy_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Density Data — tidy_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Density Data — tidy_autoplot","text":"","code":"tidy_normal(.num_sims = 5) |>   tidy_autoplot()   tidy_normal(.num_sims = 20) |>   tidy_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"function generate n random points Bernoulli distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"","code":"tidy_bernoulli(.n = 50, .prob = 0.1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":".n number randomly generated points want. .prob probability success/failure. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"function uses rbinom(), underlying p, d, q functions. Bernoulli distribution special case Binomial distribution size = 1 hence binom functions used set size = 1.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"","code":"tidy_bernoulli() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -0.405  0.0292   0.9     0 #>  2 1              2     0 -0.368  0.0637   0.9     0 #>  3 1              3     0 -0.331  0.129    0.9     0 #>  4 1              4     1 -0.294  0.243    1       1 #>  5 1              5     0 -0.258  0.424    0.9     0 #>  6 1              6     0 -0.221  0.688    0.9     0 #>  7 1              7     0 -0.184  1.03     0.9     0 #>  8 1              8     1 -0.147  1.44     1       1 #>  9 1              9     0 -0.110  1.87     0.9     0 #> 10 1             10     0 -0.0727 2.25     0.9     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"function generate n random points beta distribution user provided, .shape1, .shape2, .ncp non-centrality parameter, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"","code":"tidy_beta(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .ncp = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":".n number randomly generated points want. .shape1 non-negative parameter Beta distribution. .shape2 non-negative parameter Beta distribution. .ncp non-centrality parameter Beta distribution. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"function uses underlying stats::rbeta(), underlying p, d, q functions. information please see stats::rbeta()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"","code":"tidy_beta() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.359 -0.353  0.00273 0.359 0.359 #>  2 1              2 0.988 -0.318  0.00644 0.988 0.988 #>  3 1              3 0.295 -0.283  0.0141  0.295 0.295 #>  4 1              4 0.724 -0.248  0.0284  0.724 0.724 #>  5 1              5 0.729 -0.213  0.0532  0.729 0.729 #>  6 1              6 0.301 -0.178  0.0925  0.301 0.301 #>  7 1              7 0.423 -0.143  0.149   0.423 0.423 #>  8 1              8 1.00  -0.107  0.224   1.00  1.00  #>  9 1              9 0.816 -0.0724 0.315   0.816 0.816 #> 10 1             10 0.784 -0.0373 0.416   0.784 0.784 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"function generate n random points binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"","code":"tidy_binomial(   .n = 50,   .size = 0,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"function uses underlying stats::rbinom(), underlying p, d, q functions. information please see stats::rbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"","code":"tidy_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Empirical Data — tidy_bootstrap","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"Takes input vector numeric data produces bootstrapped nested tibble simulation number.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"","code":"tidy_bootstrap(   .x,   .num_sims = 2000,   .proportion = 0.8,   .distribution_type = \"continuous\" )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Empirical Data — tidy_bootstrap","text":".x vector data passed function. Must numeric vector. .num_sims default 2000, can set anything desired. warning pass console value less 2000. .proportion much original data want pass sampling function. default 0.80 (80%) .distribution_type can either 'continuous' 'discrete'","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"nested tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"function take numeric input vector produce tibble bootstrapped values list. table output two columns: sim_number bootstrap_samples sim_number corresponds many times want data resampled, bootstrap_samples column contains list boostrapped resampled data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"","code":"x <- mtcars$mpg tidy_bootstrap(x) #> # A tibble: 2,000 × 2 #>    sim_number bootstrap_samples #>    <fct>      <list>            #>  1 1          <dbl [25]>        #>  2 2          <dbl [25]>        #>  3 3          <dbl [25]>        #>  4 4          <dbl [25]>        #>  5 5          <dbl [25]>        #>  6 6          <dbl [25]>        #>  7 7          <dbl [25]>        #>  8 8          <dbl [25]>        #>  9 9          <dbl [25]>        #> 10 10         <dbl [25]>        #> # ℹ 1,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"function generate n random points Burr distribution user provided, .shape1, .shape2, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"","code":"tidy_burr(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":".n number randomly generated points want. .shape1 Must strictly positive. .shape2 Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"function uses underlying actuar::rburr(), underlying p, d, q functions. information please see actuar::rburr()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"","code":"tidy_burr() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy     p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1  0.371 -2.84  0.000966 0.271  0.371 #>  2 1              2  5.25  -1.03  0.0666   0.840  5.25  #>  3 1              3  7.27   0.790 0.237    0.879  7.27  #>  4 1              4  1.72   2.61  0.104    0.633  1.72  #>  5 1              5  0.857  4.42  0.0287   0.461  0.857 #>  6 1              6  0.294  6.24  0.0255   0.227  0.294 #>  7 1              7 12.5    8.05  0.0260   0.926 12.5   #>  8 1              8  9.76   9.87  0.0171   0.907  9.76  #>  9 1              9  0.874 11.7   0.0122   0.466  0.874 #> 10 1             10  1.76  13.5   0.0105   0.638  1.76  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"function generate n random points cauchy distribution user provided, .location, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"","code":"tidy_cauchy(   .n = 50,   .location = 0,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":".n number randomly generated points want. .location location parameter. .scale scale parameter, must greater equal 0. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"function uses underlying stats::rcauchy(), underlying p, d, q functions. information please see stats::rcauchy()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"","code":"tidy_cauchy() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -1.14   -107.  2.50e- 4 0.229  -1.14   #>  2 1              2 -2.15   -103.  2.91e- 5 0.138  -2.15   #>  3 1              3 -3.73    -98.9 0        0.0833 -3.73   #>  4 1              4  2.25    -94.9 6.56e-20 0.867   2.25   #>  5 1              5  0.0564  -91.0 1.51e-18 0.518   0.0564 #>  6 1              6  0.686   -87.1 4.19e-18 0.691   0.686  #>  7 1              7 -0.325   -83.2 0        0.400  -0.325  #>  8 1              8 -0.456   -79.3 6.52e-19 0.364  -0.456  #>  9 1              9  3.66    -75.4 0        0.915   3.66   #> 10 1             10  0.0966  -71.5 1.48e-18 0.531   0.0966 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"function generate n random points chisquare distribution user provided, .df, .ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"","code":"tidy_chisquare(   .n = 50,   .df = 1,   .ncp = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":".n number randomly generated points want. .df Degrees freedom (non-negative can non-integer) .ncp Non-centrality parameter, must non-negative. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"function uses underlying stats::rchisq(), underlying p, d, q functions. information please see stats::rchisq()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"","code":"tidy_chisquare() #> # A tibble: 50 × 7 #>    sim_number     x       y      dx      dy      p       q #>    <fct>      <int>   <dbl>   <dbl>   <dbl>  <dbl>   <dbl> #>  1 1              1 0.0110  -2.58   0.00141 0.0507 0.0110  #>  2 1              2 5.28    -2.22   0.00471 0.902  5.28    #>  3 1              3 1.39    -1.86   0.0133  0.556  1.39    #>  4 1              4 0.00843 -1.51   0.0321  0.0444 0.00843 #>  5 1              5 0.0290  -1.15   0.0659  0.0825 0.0290  #>  6 1              6 2.90    -0.793  0.116   0.756  2.90    #>  7 1              7 0.369   -0.436  0.174   0.293  0.369   #>  8 1              8 6.24    -0.0799 0.227   0.933  6.24    #>  9 1              9 3.64     0.277  0.257   0.816  3.64    #> 10 1             10 3.95     0.633  0.258   0.837  3.95    #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"","code":"tidy_combined_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":".data data passed function tidy_multi_dist() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"","code":"combined_tbl <- tidy_combine_distributions(   tidy_normal(),   tidy_gamma(),   tidy_beta() )  combined_tbl #> # A tibble: 150 × 8 #>    sim_number     x       y    dx       dy      p       q dist_type        #>    <fct>      <int>   <dbl> <dbl>    <dbl>  <dbl>   <dbl> <fct>            #>  1 1              1 -1.36   -3.52 0.000368 0.0864 -1.36   Gaussian c(0, 1) #>  2 1              2 -1.20   -3.37 0.00102  0.116  -1.20   Gaussian c(0, 1) #>  3 1              3  0.804  -3.22 0.00254  0.789   0.804  Gaussian c(0, 1) #>  4 1              4  0.969  -3.06 0.00565  0.834   0.969  Gaussian c(0, 1) #>  5 1              5 -1.09   -2.91 0.0113   0.138  -1.09   Gaussian c(0, 1) #>  6 1              6 -1.38   -2.76 0.0203   0.0835 -1.38   Gaussian c(0, 1) #>  7 1              7 -0.672  -2.61 0.0331   0.251  -0.672  Gaussian c(0, 1) #>  8 1              8  0.371  -2.46 0.0498   0.645   0.371  Gaussian c(0, 1) #>  9 1              9  1.44   -2.30 0.0699   0.925   1.44   Gaussian c(0, 1) #> 10 1             10 -0.0394 -2.15 0.0931   0.484  -0.0394 Gaussian c(0, 1) #> # ℹ 140 more rows  combined_tbl |>   tidy_combined_autoplot()   combined_tbl |>   tidy_combined_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":null,"dir":"Reference","previous_headings":"","what":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"allows user specify n number tidy_ distributions can combined single tibble. preferred method combining multiple distributions different types, example Gaussian distribution Beta distribution. generates single tibble added column dist_type give distribution family name associated parameters.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"","code":"tidy_combine_distributions(...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"... ... can place different distributions","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"Allows user generate tibble different tidy_ distributions","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"","code":"tn <- tidy_normal() tb <- tidy_beta() tc <- tidy_cauchy()  tidy_combine_distributions(tn, tb, tc) #> # A tibble: 150 × 8 #>    sim_number     x      y    dx       dy      p      q dist_type        #>    <fct>      <int>  <dbl> <dbl>    <dbl>  <dbl>  <dbl> <fct>            #>  1 1              1 -0.199 -3.47 0.000222 0.421  -0.199 Gaussian c(0, 1) #>  2 1              2  0.142 -3.32 0.000638 0.556   0.142 Gaussian c(0, 1) #>  3 1              3  2.28  -3.16 0.00161  0.989   2.28  Gaussian c(0, 1) #>  4 1              4  1.63  -3.01 0.00355  0.949   1.63  Gaussian c(0, 1) #>  5 1              5  0.547 -2.86 0.00694  0.708   0.547 Gaussian c(0, 1) #>  6 1              6  0.215 -2.71 0.0121   0.585   0.215 Gaussian c(0, 1) #>  7 1              7 -1.42  -2.55 0.0193   0.0771 -1.42  Gaussian c(0, 1) #>  8 1              8 -0.850 -2.40 0.0288   0.198  -0.850 Gaussian c(0, 1) #>  9 1              9  0.886 -2.25 0.0411   0.812   0.886 Gaussian c(0, 1) #> 10 1             10 -1.44  -2.10 0.0576   0.0748 -1.44  Gaussian c(0, 1) #> # ℹ 140 more rows  ## OR  tidy_combine_distributions(   tidy_normal(),   tidy_beta(),   tidy_cauchy(),   tidy_logistic() ) #> # A tibble: 200 × 8 #>    sim_number     x      y    dx       dy     p      q dist_type        #>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl> <fct>            #>  1 1              1 -0.258 -3.24 0.000490 0.398 -0.258 Gaussian c(0, 1) #>  2 1              2  0.719 -3.12 0.00130  0.764  0.719 Gaussian c(0, 1) #>  3 1              3  0.720 -2.99 0.00309  0.764  0.720 Gaussian c(0, 1) #>  4 1              4 -0.697 -2.87 0.00648  0.243 -0.697 Gaussian c(0, 1) #>  5 1              5 -0.402 -2.75 0.0121   0.344 -0.402 Gaussian c(0, 1) #>  6 1              6  0.457 -2.63 0.0200   0.676  0.457 Gaussian c(0, 1) #>  7 1              7 -0.456 -2.50 0.0296   0.324 -0.456 Gaussian c(0, 1) #>  8 1              8  1.24  -2.38 0.0392   0.893  1.24  Gaussian c(0, 1) #>  9 1              9  0.183 -2.26 0.0473   0.573  0.183 Gaussian c(0, 1) #> 10 1             10  0.176 -2.14 0.0532   0.570  0.176 Gaussian c(0, 1) #> # ℹ 190 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":null,"dir":"Reference","previous_headings":"","what":"Compare Empirical Data to Distributions — tidy_distribution_comparison","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"Compare empirical data set different distributions help find distribution best fit.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"","code":"tidy_distribution_comparison(   .x,   .distribution_type = \"continuous\",   .round_to_place = 3 )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":".x data set passed function .distribution_type kind data , can one continuous discrete .round_to_place many decimal places parameter estimates rounded distibution construction. default 3","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"invisible list object. tibble printed.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"purpose function take data set provided try find distribution may fit best. parameter .distribution_type must set either continuous discrete order function try appropriate types distributions. following distributions used: Continuous: tidy_beta tidy_cauchy tidy_chisquare tidy_exponential tidy_gamma tidy_logistic tidy_lognormal tidy_normal tidy_pareto tidy_uniform tidy_weibull Discrete: tidy_binomial tidy_geometric tidy_hypergeometric tidy_poisson function returns list output tibbles. tibbles returned: comparison_tbl deviance_tbl total_deviance_tbl aic_tbl kolmogorov_smirnov_tbl multi_metric_tbl comparison_tbl long tibble lists values density function given data. deviance_tbl total_deviance_tbl just give simple difference actual density estimated density given estimated distribution. aic_tbl provide AIC liklehood distribution. kolmogorov_smirnov_tbl now provides two.sided estimate ks.test estimated density empirical. multi_metric_tbl summarise metrics single tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"","code":"xc <- mtcars$mpg output_c <- tidy_distribution_comparison(xc, \"continuous\") #> For the beta distribution, its mean 'mu' should be 0 < mu < 1. The data will #> therefore be scaled to enforce this. #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> There was no need to scale the data. #> Warning: There were 97 warnings in `dplyr::mutate()`. #> The first warning was: #> ℹ In argument: `aic_value = dplyr::case_when(...)`. #> Caused by warning in `actuar::dpareto()`: #> ! NaNs produced #> ℹ Run dplyr::last_dplyr_warnings() to see the 96 remaining warnings.  xd <- trunc(xc) output_d <- tidy_distribution_comparison(xd, \"discrete\") #> There was no need to scale the data. #> Warning: There were 12 warnings in `dplyr::mutate()`. #> The first warning was: #> ℹ In argument: `aic_value = dplyr::case_when(...)`. #> Caused by warning in `actuar::dpareto()`: #> ! NaNs produced #> ℹ Run dplyr::last_dplyr_warnings() to see the 11 remaining warnings.  output_c #> $comparison_tbl #> # A tibble: 384 × 8 #>    sim_number     x     y    dx       dy     p     q dist_type #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> <fct>     #>  1 1              1  21    2.97 0.000114 0.625  10.4 Empirical #>  2 1              2  21    4.21 0.000455 0.625  10.4 Empirical #>  3 1              3  22.8  5.44 0.00142  0.781  13.3 Empirical #>  4 1              4  21.4  6.68 0.00355  0.688  14.3 Empirical #>  5 1              5  18.7  7.92 0.00721  0.469  14.7 Empirical #>  6 1              6  18.1  9.16 0.0124   0.438  15   Empirical #>  7 1              7  14.3 10.4  0.0192   0.125  15.2 Empirical #>  8 1              8  24.4 11.6  0.0281   0.812  15.2 Empirical #>  9 1              9  22.8 12.9  0.0395   0.781  15.5 Empirical #> 10 1             10  19.2 14.1  0.0516   0.531  15.8 Empirical #> # ℹ 374 more rows #>  #> $deviance_tbl #> # A tibble: 384 × 2 #>    name                        value #>    <chr>                       <dbl> #>  1 Empirical                  0.451  #>  2 Beta c(1.107, 1.577, 0)    0.287  #>  3 Cauchy c(19.2, 7.375)     -0.0169 #>  4 Chisquare c(20.243, 0)    -0.106  #>  5 Exponential c(0.05)        0.230  #>  6 Gamma c(11.47, 1.752)     -0.0322 #>  7 Logistic c(20.091, 3.27)   0.193  #>  8 Lognormal c(2.958, 0.293)  0.283  #>  9 Pareto c(10.4, 1.624)      0.446  #> 10 Uniform c(8.341, 31.841)   0.242  #> # ℹ 374 more rows #>  #> $total_deviance_tbl #> # A tibble: 11 × 2 #>    dist_with_params          abs_tot_deviance #>    <chr>                                <dbl> #>  1 Gamma c(11.47, 1.752)               0.0235 #>  2 Chisquare c(20.243, 0)              0.462  #>  3 Beta c(1.107, 1.577, 0)             0.640  #>  4 Uniform c(8.341, 31.841)            1.11   #>  5 Weibull c(3.579, 22.288)            1.34   #>  6 Cauchy c(19.2, 7.375)               1.56   #>  7 Logistic c(20.091, 3.27)            2.74   #>  8 Lognormal c(2.958, 0.293)           4.72   #>  9 Gaussian c(20.091, 5.932)           4.74   #> 10 Pareto c(10.4, 1.624)               6.95   #> 11 Exponential c(0.05)                 7.67   #>  #> $aic_tbl #> # A tibble: 11 × 3 #>    dist_type                 aic_value abs_aic #>    <fct>                         <dbl>   <dbl> #>  1 Beta c(1.107, 1.577, 0)         NA      NA  #>  2 Cauchy c(19.2, 7.375)          218.    218. #>  3 Chisquare c(20.243, 0)          NA      NA  #>  4 Exponential c(0.05)            258.    258. #>  5 Gamma c(11.47, 1.752)          206.    206. #>  6 Logistic c(20.091, 3.27)       209.    209. #>  7 Lognormal c(2.958, 0.293)      206.    206. #>  8 Pareto c(10.4, 1.624)          260.    260. #>  9 Uniform c(8.341, 31.841)       206.    206. #> 10 Weibull c(3.579, 22.288)       209.    209. #> 11 Gaussian c(20.091, 5.932)      209.    209. #>  #> $kolmogorov_smirnov_tbl #> # A tibble: 11 × 6 #>    dist_type              ks_statistic ks_pvalue ks_method alternative dist_char #>    <fct>                         <dbl>     <dbl> <chr>     <chr>       <chr>     #>  1 Beta c(1.107, 1.577, …        0.75   0.000500 Monte-Ca… two-sided   Beta c(1… #>  2 Cauchy c(19.2, 7.375)         0.469  0.00200  Monte-Ca… two-sided   Cauchy c… #>  3 Chisquare c(20.243, 0)        0.219  0.446    Monte-Ca… two-sided   Chisquar… #>  4 Exponential c(0.05)           0.469  0.00100  Monte-Ca… two-sided   Exponent… #>  5 Gamma c(11.47, 1.752)         0.156  0.847    Monte-Ca… two-sided   Gamma c(… #>  6 Logistic c(20.091, 3.…        0.125  0.976    Monte-Ca… two-sided   Logistic… #>  7 Lognormal c(2.958, 0.…        0.281  0.160    Monte-Ca… two-sided   Lognorma… #>  8 Pareto c(10.4, 1.624)         0.719  0.000500 Monte-Ca… two-sided   Pareto c… #>  9 Uniform c(8.341, 31.8…        0.188  0.621    Monte-Ca… two-sided   Uniform … #> 10 Weibull c(3.579, 22.2…        0.219  0.443    Monte-Ca… two-sided   Weibull … #> 11 Gaussian c(20.091, 5.…        0.156  0.833    Monte-Ca… two-sided   Gaussian… #>  #> $multi_metric_tbl #> # A tibble: 11 × 8 #>    dist_type abs_tot_deviance aic_value abs_aic ks_statistic ks_pvalue ks_method #>    <fct>                <dbl>     <dbl>   <dbl>        <dbl>     <dbl> <chr>     #>  1 Gamma c(…           0.0235      206.    206.        0.156  0.847    Monte-Ca… #>  2 Chisquar…           0.462        NA      NA         0.219  0.446    Monte-Ca… #>  3 Beta c(1…           0.640        NA      NA         0.75   0.000500 Monte-Ca… #>  4 Uniform …           1.11        206.    206.        0.188  0.621    Monte-Ca… #>  5 Weibull …           1.34        209.    209.        0.219  0.443    Monte-Ca… #>  6 Cauchy c…           1.56        218.    218.        0.469  0.00200  Monte-Ca… #>  7 Logistic…           2.74        209.    209.        0.125  0.976    Monte-Ca… #>  8 Lognorma…           4.72        206.    206.        0.281  0.160    Monte-Ca… #>  9 Gaussian…           4.74        209.    209.        0.156  0.833    Monte-Ca… #> 10 Pareto c…           6.95        260.    260.        0.719  0.000500 Monte-Ca… #> 11 Exponent…           7.67        258.    258.        0.469  0.00100  Monte-Ca… #> # ℹ 1 more variable: alternative <chr> #>  #> attr(,\".x\") #>  [1] 21.0 21.0 22.8 21.4 18.7 18.1 14.3 24.4 22.8 19.2 17.8 16.4 17.3 15.2 10.4 #> [16] 10.4 14.7 32.4 30.4 33.9 21.5 15.5 15.2 13.3 19.2 27.3 26.0 30.4 15.8 19.7 #> [31] 15.0 21.4 #> attr(,\".n\") #> [1] 32 output_d #> $comparison_tbl #> # A tibble: 160 × 8 #>    sim_number     x     y    dx       dy     p     q dist_type #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> <fct>     #>  1 1              1    21  2.95 0.000120 0.719    10 Empirical #>  2 1              2    21  4.14 0.000487 0.719    10 Empirical #>  3 1              3    22  5.34 0.00154  0.781    13 Empirical #>  4 1              4    21  6.54 0.00383  0.719    14 Empirical #>  5 1              5    18  7.74 0.00766  0.469    14 Empirical #>  6 1              6    18  8.93 0.0129   0.469    15 Empirical #>  7 1              7    14 10.1  0.0194   0.156    15 Empirical #>  8 1              8    24 11.3  0.0282   0.812    15 Empirical #>  9 1              9    22 12.5  0.0397   0.781    15 Empirical #> 10 1             10    19 13.7  0.0524   0.562    15 Empirical #> # ℹ 150 more rows #>  #> $deviance_tbl #> # A tibble: 160 × 2 #>    name                             value #>    <chr>                            <dbl> #>  1 Empirical                     0.478    #>  2 Binomial c(32, 0.031)         0.145    #>  3 Geometric c(0.048)           -0.000463 #>  4 Hypergeometric c(21, 11, 21) -0.322    #>  5 Poisson c(19.688)            -0.0932   #>  6 Empirical                     0.478    #>  7 Binomial c(32, 0.031)         0.478    #>  8 Geometric c(0.048)            0.361    #>  9 Hypergeometric c(21, 11, 21) -0.122    #> 10 Poisson c(19.688)             0.193    #> # ℹ 150 more rows #>  #> $total_deviance_tbl #> # A tibble: 4 × 2 #>   dist_with_params             abs_tot_deviance #>   <chr>                                   <dbl> #> 1 Hypergeometric c(21, 11, 21)             2.52 #> 2 Binomial c(32, 0.031)                    2.81 #> 3 Poisson c(19.688)                        3.19 #> 4 Geometric c(0.048)                       6.07 #>  #> $aic_tbl #> # A tibble: 4 × 3 #>   dist_type                    aic_value abs_aic #>   <fct>                            <dbl>   <dbl> #> 1 Binomial c(32, 0.031)             Inf     Inf  #> 2 Geometric c(0.048)                258.    258. #> 3 Hypergeometric c(21, 11, 21)      NaN     NaN  #> 4 Poisson c(19.688)                 210.    210. #>  #> $kolmogorov_smirnov_tbl #> # A tibble: 4 × 6 #>   dist_type               ks_statistic ks_pvalue ks_method alternative dist_char #>   <fct>                          <dbl>     <dbl> <chr>     <chr>       <chr>     #> 1 Binomial c(32, 0.031)          0.719  0.000500 Monte-Ca… two-sided   Binomial… #> 2 Geometric c(0.048)             0.5    0.00200  Monte-Ca… two-sided   Geometri… #> 3 Hypergeometric c(21, 1…        0.625  0.000500 Monte-Ca… two-sided   Hypergeo… #> 4 Poisson c(19.688)              0.156  0.850    Monte-Ca… two-sided   Poisson … #>  #> $multi_metric_tbl #> # A tibble: 4 × 8 #>   dist_type  abs_tot_deviance aic_value abs_aic ks_statistic ks_pvalue ks_method #>   <fct>                 <dbl>     <dbl>   <dbl>        <dbl>     <dbl> <chr>     #> 1 Hypergeom…             2.52      NaN     NaN         0.625  0.000500 Monte-Ca… #> 2 Binomial …             2.81      Inf     Inf         0.719  0.000500 Monte-Ca… #> 3 Poisson c…             3.19      210.    210.        0.156  0.850    Monte-Ca… #> 4 Geometric…             6.07      258.    258.        0.5    0.00200  Monte-Ca… #> # ℹ 1 more variable: alternative <chr> #>  #> attr(,\".x\") #>  [1] 21 21 22 21 18 18 14 24 22 19 17 16 17 15 10 10 14 32 30 33 21 15 15 13 19 #> [26] 27 26 30 15 19 15 21 #> attr(,\".n\") #> [1] 32"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"function returns summary statistics tibble. use y column tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"","code":"tidy_distribution_summary_tbl(.data, ...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":".data data going passed tidy_ distribution function. ... grouping variable gets passed dplyr::group_by() dplyr::select().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"summary stats tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"function takes tidy_ distribution table return tibble following information: sim_number mean_val median_val std_val min_val max_val skewness kurtosis range iqr variance ci_hi ci_lo kurtosis skewness come package healthyR.ai","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"","code":"library(dplyr) #>  #> Attaching package: 'dplyr' #> The following objects are masked from 'package:stats': #>  #>     filter, lag #> The following objects are masked from 'package:base': #>  #>     intersect, setdiff, setequal, union  tn <- tidy_normal(.num_sims = 5) tb <- tidy_beta(.num_sims = 5)  tidy_distribution_summary_tbl(tn) #> # A tibble: 1 × 12 #>   mean_val median_val std_val min_val max_val skewness kurtosis range   iqr #>      <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> <dbl> #> 1   0.0462     0.0747   0.966   -2.82    2.80   0.0744     3.12  5.61  1.29 #> # ℹ 3 more variables: variance <dbl>, ci_low <dbl>, ci_high <dbl> tidy_distribution_summary_tbl(tn, sim_number) #> # A tibble: 5 × 13 #>   sim_number mean_val median_val std_val min_val max_val skewness kurtosis range #>   <fct>         <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> #> 1 1            0.200      0.120    0.928   -2.29    2.38    0.142     3.21  4.67 #> 2 2           -0.0698    -0.0932   0.868   -2.82    1.53   -0.422     3.55  4.35 #> 3 3           -0.0250     0.0539   0.869   -2.25    1.97   -0.141     2.92  4.22 #> 4 4           -0.0324    -0.120    1.17    -2.13    2.80    0.542     2.93  4.93 #> 5 5            0.158      0.299    0.969   -1.93    2.29   -0.264     2.58  4.22 #> # ℹ 4 more variables: iqr <dbl>, variance <dbl>, ci_low <dbl>, ci_high <dbl>  data_tbl <- tidy_combine_distributions(tn, tb)  tidy_distribution_summary_tbl(data_tbl) #> # A tibble: 1 × 12 #>   mean_val median_val std_val min_val max_val skewness kurtosis range   iqr #>      <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> <dbl> #> 1    0.294      0.393   0.754   -2.82    2.80   -0.662     4.67  5.61 0.757 #> # ℹ 3 more variables: variance <dbl>, ci_low <dbl>, ci_high <dbl> tidy_distribution_summary_tbl(data_tbl, dist_type) #> # A tibble: 2 × 13 #>   dist_type mean_val median_val std_val  min_val max_val skewness kurtosis range #>   <fct>        <dbl>      <dbl>   <dbl>    <dbl>   <dbl>    <dbl>    <dbl> <dbl> #> 1 Gaussian…   0.0462     0.0747   0.966 -2.82      2.80    0.0744     3.12 5.61  #> 2 Beta c(1…   0.543      0.577    0.290  0.00230   0.999  -0.190      1.75 0.996 #> # ℹ 4 more variables: iqr <dbl>, variance <dbl>, ci_low <dbl>, ci_high <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Empirical — tidy_empirical","title":"Tidy Empirical — tidy_empirical","text":"function takes single argument .x vector return tibble information similar tidy_ distribution functions. y column set equal dy density function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Empirical — tidy_empirical","text":"","code":"tidy_empirical(.x, .num_sims = 1, .distribution_type = \"continuous\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Empirical — tidy_empirical","text":".x vector numbers .num_sims many simulations run, defaults 1. .distribution_type string either \"continuous\" \"discrete\". function default \"continuous\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Empirical — tidy_empirical","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Empirical — tidy_empirical","text":"function takes single argument .x vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Empirical — tidy_empirical","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Empirical — tidy_empirical","text":"","code":"x <- mtcars$mpg tidy_empirical(.x = x, .distribution_type = \"continuous\") #> # A tibble: 32 × 7 #>    sim_number     x     y    dx       dy     p     q #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> #>  1 1              1  21    2.97 0.000114 0.625  10.4 #>  2 1              2  21    4.21 0.000455 0.625  10.4 #>  3 1              3  22.8  5.44 0.00142  0.781  13.3 #>  4 1              4  21.4  6.68 0.00355  0.688  14.3 #>  5 1              5  18.7  7.92 0.00721  0.469  14.7 #>  6 1              6  18.1  9.16 0.0124   0.438  15   #>  7 1              7  14.3 10.4  0.0192   0.125  15.2 #>  8 1              8  24.4 11.6  0.0281   0.812  15.2 #>  9 1              9  22.8 12.9  0.0395   0.781  15.5 #> 10 1             10  19.2 14.1  0.0516   0.531  15.8 #> # ℹ 22 more rows tidy_empirical(.x = x, .num_sims = 10, .distribution_type = \"continuous\") #> # A tibble: 320 × 7 #>    sim_number     x     y    dx       dy     p     q #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> #>  1 1              1  30.4  7.23 0.000120 0.938  13.3 #>  2 1              2  14.7  8.29 0.000584 0.156  14.3 #>  3 1              3  18.7  9.34 0.00222  0.469  14.3 #>  4 1              4  19.2 10.4  0.00668  0.531  14.7 #>  5 1              5  24.4 11.5  0.0159   0.812  14.7 #>  6 1              6  17.8 12.5  0.0300   0.406  15   #>  7 1              7  22.8 13.6  0.0456   0.781  15.2 #>  8 1              8  19.7 14.6  0.0576   0.562  15.2 #>  9 1              9  15.2 15.7  0.0642   0.25   17.3 #> 10 1             10  26   16.7  0.0684   0.844  17.8 #> # ℹ 310 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"function generate n random points exponential distribution user provided, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"","code":"tidy_exponential(.n = 50, .rate = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":".n number randomly generated points want. .rate vector rates .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"function uses underlying stats::rexp(), underlying p, d, q functions. information please see stats::rexp()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"","code":"tidy_exponential() #> # A tibble: 50 × 7 #>    sim_number     x     y       dx      dy     p     q #>    <fct>      <int> <dbl>    <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.212 -0.889   0.00160 0.191 0.212 #>  2 1              2 0.688 -0.761   0.00575 0.497 0.688 #>  3 1              3 0.724 -0.634   0.0176  0.515 0.724 #>  4 1              4 0.173 -0.507   0.0457  0.159 0.173 #>  5 1              5 3.40  -0.380   0.102   0.967 3.40  #>  6 1              6 2.13  -0.253   0.194   0.881 2.13  #>  7 1              7 0.812 -0.125   0.319   0.556 0.812 #>  8 1              8 0.265  0.00190 0.453   0.232 0.265 #>  9 1              9 1.12   0.129   0.564   0.674 1.12  #> 10 1             10 0.762  0.256   0.624   0.533 0.762 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated F Distribution Tibble — tidy_f","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"function generate n random points rf distribution user provided, df1,df2, ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"","code":"tidy_f(   .n = 50,   .df1 = 1,   .df2 = 1,   .ncp = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":".n number randomly generated points want. .df1 Degrees freedom, Inf allowed. .df2 Degrees freedom, Inf allowed. .ncp Non-centrality parameter. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"function uses underlying stats::rf(), underlying p, d, q functions. information please see stats::rf()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"","code":"tidy_f() #> # A tibble: 50 × 7 #>    sim_number     x         y     dx       dy       p         q #>    <fct>      <int>     <dbl>  <dbl>    <dbl>   <dbl>     <dbl> #>  1 1              1  0.111     -6.16 6.86e- 3 0.205    0.111    #>  2 1              2 17.1       26.0  2.41e- 3 0.849   17.1      #>  3 1              3 42.4       58.1  3.22e-11 0.903   42.4      #>  4 1              4  2.03      90.2  4.61e- 4 0.611    2.03     #>  5 1              5  0.000138 122.   3.48e- 9 0.00749  0.000138 #>  6 1              6  0.0407   154.   1.92e-19 0.127    0.0407   #>  7 1              7  0.0618   187.   8.78e-19 0.155    0.0618   #>  8 1              8  0.104    219.   0        0.198    0.104    #>  9 1              9  2.73     251.   2.98e-19 0.653    2.73     #> 10 1             10  0.00803  283.   3.95e- 4 0.0569   0.00803  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Density Data — tidy_four_autoplot","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"","code":"tidy_four_autoplot(   .data,   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"","code":"tidy_normal(.num_sims = 5) |>   tidy_four_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"function generate n random points gamma distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"","code":"tidy_gamma(   .n = 50,   .shape = 1,   .scale = 0.3,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":".n number randomly generated points want. .shape strictly 0 infinity. .scale standard deviation randomly generated data. strictly 0 infinity. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"function uses underlying stats::rgamma(), underlying p, d, q functions. information please see stats::rgamma()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"","code":"tidy_gamma() #> # A tibble: 50 × 6 #>    sim_number     x       y        dx      dy       p #>    <fct>      <int>   <dbl>     <dbl>   <dbl>   <dbl> #>  1 1              1 0.132   -0.361    0.00238 0.132   #>  2 1              2 0.0801  -0.321    0.00646 0.0801  #>  3 1              3 0.308   -0.281    0.0160  0.308   #>  4 1              4 0.00349 -0.241    0.0360  0.00349 #>  5 1              5 0.307   -0.201    0.0744  0.307   #>  6 1              6 1.16    -0.161    0.141   1.16    #>  7 1              7 0.237   -0.121    0.246   0.237   #>  8 1              8 0.103   -0.0810   0.396   0.103   #>  9 1              9 0.00485 -0.0409   0.591   0.00485 #> 10 1             10 0.353   -0.000909 0.820   0.353   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"function generate n random points generalized beta distribution user provided, .shape1, .shape2, .shape3, .rate, /.sclae, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"","code":"tidy_generalized_beta(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .shape3 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":".n number randomly generated points want. .shape1 non-negative parameter Beta distribution. .shape2 non-negative parameter Beta distribution. .shape3 non-negative parameter Beta distribution. .rate alternative way specify .scale parameter. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"function uses underlying stats::rbeta(), underlying p, d, q functions. information please see stats::rbeta()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"","code":"tidy_generalized_beta() #> # A tibble: 50 × 7 #>    sim_number     x      y      dx      dy      p      q #>    <fct>      <int>  <dbl>   <dbl>   <dbl>  <dbl>  <dbl> #>  1 1              1 0.248  -0.272  0.00334 0.248  0.248  #>  2 1              2 0.939  -0.241  0.00835 0.939  0.939  #>  3 1              3 0.852  -0.209  0.0191  0.852  0.852  #>  4 1              4 0.197  -0.178  0.0398  0.197  0.197  #>  5 1              5 0.728  -0.146  0.0757  0.728  0.728  #>  6 1              6 0.963  -0.115  0.132   0.963  0.963  #>  7 1              7 0.800  -0.0830 0.210   0.800  0.800  #>  8 1              8 0.353  -0.0515 0.306   0.353  0.353  #>  9 1              9 0.0827 -0.0199 0.410   0.0827 0.0827 #> 10 1             10 0.807   0.0116 0.506   0.807  0.807  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"function generate n random points generalized Pareto distribution user provided, .shape1, .shape2, .rate .scale number #' random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"","code":"tidy_generalized_pareto(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":".n number randomly generated points want. .shape1 Must positive. .shape2 Must positive. .rate alternative way specify .scale argument .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"function uses underlying actuar::rgenpareto(), underlying p, d, q functions. information please see actuar::rgenpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"","code":"tidy_generalized_pareto() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy     p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl> <dbl> <dbl> #>  1 1              1 0.945 -1.95  0.000861 0.486 0.945 #>  2 1              2 1.29  -1.06  0.0278   0.563 1.29  #>  3 1              3 0.563 -0.162 0.184    0.360 0.563 #>  4 1              4 0.451  0.732 0.300    0.311 0.451 #>  5 1              5 0.475  1.63  0.201    0.322 0.475 #>  6 1              6 2.17   2.52  0.142    0.684 2.17  #>  7 1              7 0.758  3.41  0.0805   0.431 0.758 #>  8 1              8 1.58   4.31  0.0469   0.613 1.58  #>  9 1              9 2.75   5.20  0.0398   0.734 2.75  #> 10 1             10 5.88   6.10  0.0247   0.855 5.88  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"function generate n random points geometric distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"","code":"tidy_geometric(.n = 50, .prob = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":".n number randomly generated points want. .prob probability success trial 0 < prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"function uses underlying stats::rgeom(), underlying p, d, q functions. information please see stats::rgeom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"","code":"tidy_geometric() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"function generate n random points hypergeometric distribution user provided, m,nn, k, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"","code":"tidy_hypergeometric(   .n = 50,   .m = 0,   .nn = 0,   .k = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":".n number randomly generated points want. .m number white balls urn .nn number black balls urn .k number balls drawn fro urn. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"function uses underlying stats::rhyper(), underlying p, d, q functions. information please see stats::rhyper()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"","code":"tidy_hypergeometric() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"function generate n random points Inverse Burr distribution user provided, .shape1, .shape2, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"","code":"tidy_inverse_burr(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":".n number randomly generated points want. .shape1 Must strictly positive. .shape2 Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"function uses underlying actuar::rinvburr(), underlying p, d, q functions. information please see actuar::rinvburr()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"","code":"tidy_inverse_burr() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1  4.28   -2.76  1.12e- 3 0.811   4.28   #>  2 1              2 54.7     0.822 2.18e- 1 0.982  54.7    #>  3 1              3  0.727   4.41  4.04e- 2 0.421   0.727  #>  4 1              4  3.27    8.00  1.09e- 2 0.766   3.27   #>  5 1              5  0.271  11.6   8.02e- 3 0.213   0.271  #>  6 1              6  0.138  15.2   7.56e- 3 0.121   0.138  #>  7 1              7  0.767  18.8   1.01e- 6 0.434   0.767  #>  8 1              8 14.7    22.3   7.98e-17 0.936  14.7    #>  9 1              9  0.111  25.9   0        0.100   0.111  #> 10 1             10  0.0911 29.5   4.08e- 8 0.0835  0.0911 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"function generate n random points inverse exponential distribution user provided, .rate .scale number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"","code":"tidy_inverse_exponential(   .n = 50,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":".n number randomly generated points want. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"function uses underlying actuar::rinvexp(), underlying p, d, q functions. information please see actuar::rinvexp()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"","code":"tidy_inverse_exponential() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 0.859 -2.61  6.92e- 4 0.312  0.859 #>  2 1              2 0.700 -0.676 7.79e- 2 0.240  0.700 #>  3 1              3 0.573  1.26  2.28e- 1 0.175  0.573 #>  4 1              4 0.320  3.20  8.58e- 2 0.0438 0.320 #>  5 1              5 1.71   5.14  3.45e- 2 0.557  1.71  #>  6 1              6 5.49   7.08  3.59e- 2 0.833  5.49  #>  7 1              7 2.40   9.02  2.02e- 2 0.659  2.40  #>  8 1              8 2.68  11.0   1.14e- 3 0.688  2.68  #>  9 1              9 0.574 12.9   1.53e- 6 0.175  0.574 #> 10 1             10 2.97  14.8   4.16e-11 0.714  2.97  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"function generate n random points inverse gamma distribution user provided, .shape, .rate, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"","code":"tidy_inverse_gamma(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"function uses underlying actuar::rinvgamma(), underlying p, d, q functions. information please see actuar::rinvgamma()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"","code":"tidy_inverse_gamma() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx      dy     p     q #>    <fct>      <int> <dbl>  <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 2.96  -1.46  0.00107 0.713 2.96  #>  2 1              2 1.57   0.136 0.192   0.530 1.57  #>  3 1              3 0.711  1.74  0.246   0.245 0.711 #>  4 1              4 4.81   3.34  0.0656  0.812 4.81  #>  5 1              5 0.752  4.94  0.0417  0.264 0.752 #>  6 1              6 2.94   6.54  0.00992 0.711 2.94  #>  7 1              7 1.68   8.14  0.0112  0.551 1.68  #>  8 1              8 1.42   9.74  0.00364 0.495 1.42  #>  9 1              9 0.479 11.3   0.00809 0.124 0.479 #> 10 1             10 1.15  12.9   0.00390 0.419 1.15  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"function generate n random points Inverse Gaussian distribution user provided, .mean, .shape, .dispersionThe function returns tibble simulation number column x column corresponds n randomly generated points. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"","code":"tidy_inverse_normal(   .n = 50,   .mean = 1,   .shape = 1,   .dispersion = 1/.shape,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":".n number randomly generated points want. .mean Must strictly positive. .shape Must strictly positive. .dispersion alternative way specify .shape. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"function uses underlying actuar::rinvgauss(). information please see rinvgauss()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"","code":"tidy_inverse_normal() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.261 -0.609  0.00154 0.124 0.261 #>  2 1              2 0.457 -0.492  0.00657 0.326 0.457 #>  3 1              3 4.41  -0.374  0.0229  0.985 4.41  #>  4 1              4 1.15  -0.257  0.0655  0.723 1.15  #>  5 1              5 2.06  -0.139  0.154   0.892 2.06  #>  6 1              6 0.280 -0.0218 0.299   0.144 0.280 #>  7 1              7 4.05   0.0958 0.486   0.980 4.05  #>  8 1              8 0.531  0.213  0.666   0.391 0.531 #>  9 1              9 1.86   0.331  0.782   0.869 1.86  #> 10 1             10 0.416  0.448  0.803   0.286 0.416 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"function generate n random points inverse pareto distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"","code":"tidy_inverse_pareto(   .n = 50,   .shape = 1,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":".n number randomly generated points want. .shape Must positive. .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"function uses underlying actuar::rinvpareto(), underlying p, d, q functions. information please see actuar::rinvpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"","code":"tidy_inverse_pareto() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy      p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl>  <dbl>  <dbl> #>  1 1              1 0.0800 -2.11  0.000891 0.0741 0.0800 #>  2 1              2 2.21   -0.913 0.0532   0.689  2.21   #>  3 1              3 2.45    0.282 0.289    0.710  2.45   #>  4 1              4 3.23    1.48  0.212    0.763  3.23   #>  5 1              5 0.683   2.67  0.0927   0.406  0.683  #>  6 1              6 5.20    3.87  0.0564   0.839  5.20   #>  7 1              7 7.44    5.07  0.0466   0.881  7.44   #>  8 1              8 5.71    6.26  0.0221   0.851  5.71   #>  9 1              9 0.377   7.46  0.0137   0.274  0.377  #> 10 1             10 1.88    8.65  0.0133   0.653  1.88   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"function generate n random points weibull distribution user provided, .shape, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"","code":"tidy_inverse_weibull(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"function uses underlying actuar::rinvweibull(), underlying p, d, q functions. information please see actuar::rinvweibull()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"","code":"tidy_inverse_weibull() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 0.663 -2.52  0.000601 0.221  0.663 #>  2 1              2 2.58  -1.15  0.0272   0.679  2.58  #>  3 1              3 0.563  0.217 0.181    0.169  0.563 #>  4 1              4 5.31   1.59  0.222    0.828  5.31  #>  5 1              5 3.98   2.96  0.0981   0.778  3.98  #>  6 1              6 0.419  4.33  0.0480   0.0918 0.419 #>  7 1              7 4.91   5.70  0.0261   0.816  4.91  #>  8 1              8 3.28   7.07  0.0236   0.737  3.28  #>  9 1              9 0.963  8.44  0.0229   0.354  0.963 #> 10 1             10 3.67   9.82  0.00787  0.762  3.67  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"function takes vector input return kurtosis vector. length vector must least four numbers. kurtosis explains sharpness peak distribution data. ((1/n) * sum(x - mu})^4) / ((()1/n) * sum(x - mu)^2)^2","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"","code":"tidy_kurtosis_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":".x numeric vector length four .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"kurtosis vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"function return kurtosis vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"","code":"tidy_kurtosis_vec(rnorm(100, 3, 2)) #> [1] 2.719798"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"function generate n random points logistic distribution user provided, .location, .scale, number random simulations produced. function returns tibble simulation number column x column corresonds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"","code":"tidy_logistic(   .n = 50,   .location = 0,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":".n number randomly generated points want. .location location parameter .scale scale parameter .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"function uses underlying stats::rlogis(), underlying p, d, q functions. information please see stats::rlogis()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"","code":"tidy_logistic() #> # A tibble: 50 × 7 #>    sim_number     x       y    dx       dy      p       q #>    <fct>      <int>   <dbl> <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -2.51   -5.46 0.000171 0.0750 -2.51   #>  2 1              2 -0.577  -5.21 0.000627 0.360  -0.577  #>  3 1              3 -0.454  -4.96 0.00184  0.388  -0.454  #>  4 1              4 -1.12   -4.71 0.00434  0.247  -1.12   #>  5 1              5  0.733  -4.47 0.00821  0.675   0.733  #>  6 1              6  0.391  -4.22 0.0125   0.597   0.391  #>  7 1              7  0.0979 -3.97 0.0156   0.524   0.0979 #>  8 1              8  1.99   -3.72 0.0168   0.880   1.99   #>  9 1              9 -1.68   -3.47 0.0180   0.157  -1.68   #> 10 1             10 -0.670  -3.22 0.0234   0.338  -0.670  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"function generate n random points lognormal distribution user provided, .meanlog, .sdlog, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"","code":"tidy_lognormal(   .n = 50,   .meanlog = 0,   .sdlog = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":".n number randomly generated points want. .meanlog Mean distribution log scale default 0 .sdlog Standard deviation distribution log scale default 1 .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"function uses underlying stats::rlnorm(), underlying p, d, q functions. information please see stats::rlnorm()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"","code":"tidy_lognormal() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 2.11  -2.01  0.000744 0.773  2.11  #>  2 1              2 0.473 -1.59  0.00420  0.227  0.473 #>  3 1              3 0.878 -1.16  0.0173   0.448  0.878 #>  4 1              4 2.56  -0.738 0.0527   0.826  2.56  #>  5 1              5 0.211 -0.313 0.119    0.0601 0.211 #>  6 1              6 0.375  0.112 0.205    0.164  0.375 #>  7 1              7 3.40   0.537 0.273    0.889  3.40  #>  8 1              8 3.08   0.962 0.291    0.869  3.08  #>  9 1              9 0.982  1.39  0.257    0.493  0.982 #> 10 1             10 2.89   1.81  0.201    0.856  2.89  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy MCMC Sampling — tidy_mcmc_sampling","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"function performs Markov Chain Monte Carlo (MCMC) sampling input data returns tidy data plot representing results.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"","code":"tidy_mcmc_sampling(.x, .fns = \"mean\", .cum_fns = \"cmean\", .num_sims = 2000)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":".x data vector MCMC sampling. .fns function(s) apply MCMC sample. Default \"mean\". .cum_fns function(s) apply cumulative MCMC samples. Default \"cmean\". .num_sims number simulations. Default 2000.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"list containing tidy data plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"Perform MCMC sampling return tidy data plot. function takes data vector input performs MCMC sampling specified number simulations. applies user-defined functions MCMC sample cumulative MCMC samples. resulting data formatted tidy format, suitable analysis. Additionally, plot generated visualize MCMC samples cumulative statistics.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"","code":"# Generate MCMC samples set.seed(123) data <- rnorm(100) result <- tidy_mcmc_sampling(data, \"median\", \"cmedian\", 500) #> Warning: Setting '.num_sims' to less than 2000 means that results can be potentially #> unstable. Consider setting to 2000 or more. result #> $mcmc_data #> # A tibble: 1,000 × 3 #>    sim_number name                 value #>    <fct>      <fct>                <dbl> #>  1 1          .sample_median    -0.0285  #>  2 1          .cum_stat_cmedian -0.0285  #>  3 2          .sample_median     0.239   #>  4 2          .cum_stat_cmedian  0.105   #>  5 3          .sample_median     0.00576 #>  6 3          .cum_stat_cmedian  0.00576 #>  7 4          .sample_median    -0.0357  #>  8 4          .cum_stat_cmedian -0.0114  #>  9 5          .sample_median    -0.111   #> 10 5          .cum_stat_cmedian -0.0285  #> # ℹ 990 more rows #>  #> $plt  #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Mixture Data — tidy_mixture_density","title":"Tidy Mixture Data — tidy_mixture_density","text":"Create mixture model data resulting density line plots.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Mixture Data — tidy_mixture_density","text":"","code":"tidy_mixture_density(...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Mixture Data — tidy_mixture_density","text":"... random data want pass. Example rnorm(50,0,1) something like tidy_normal(.mean = 5, .sd = 1)","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Mixture Data — tidy_mixture_density","text":"list object","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Mixture Data — tidy_mixture_density","text":"function allows make mixture model data. allows produce density data plots data strictly one family one single type distribution given set parameters. example function allow mix say tidy_normal(.mean = 0, .sd = 1) tidy_normal(.mean = 5, .sd = 1) can mix match distributions. output list object three components. Data input_data (random data passed) dist_tbl (tibble passed random data) density_tbl (tibble x y data stats::density()) Plots line_plot - Plots dist_tbl dens_plot - Plots density_tbl Input Functions input_fns - list functions parameters passed function ","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Mixture Data — tidy_mixture_density","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Mixture Data — tidy_mixture_density","text":"","code":"output <- tidy_mixture_density(rnorm(100, 0, 1), tidy_normal(.mean = 5, .sd = 1))  output$data #> $dist_tbl #> # A tibble: 150 × 2 #>        x      y #>    <int>  <dbl> #>  1     1 -0.235 #>  2     2 -1.08  #>  3     3 -0.394 #>  4     4  0.378 #>  5     5 -0.305 #>  6     6  0.558 #>  7     7 -1.39  #>  8     8  1.68  #>  9     9 -1.08  #> 10    10 -0.699 #> # ℹ 140 more rows #>  #> $dens_tbl #> # A tibble: 150 × 2 #>        x         y #>    <dbl>     <dbl> #>  1 -5.13 0.0000554 #>  2 -5.03 0.0000794 #>  3 -4.94 0.000113  #>  4 -4.84 0.000159  #>  5 -4.74 0.000221  #>  6 -4.65 0.000304  #>  7 -4.55 0.000414  #>  8 -4.45 0.000558  #>  9 -4.36 0.000746  #> 10 -4.26 0.000986  #> # ℹ 140 more rows #>  #> $input_data #> $input_data$`rnorm(100, 0, 1)` #>   [1] -0.235353001 -1.078278941 -0.394494306  0.378351368 -0.305441689 #>   [6]  0.558246758 -1.393532326  1.684877827 -1.081165240 -0.699117005 #>  [11] -0.725905652 -1.517417803 -0.687345982  1.138408622 -0.828156661 #>  [16] -1.764248116 -0.394656802  0.680190219  1.674713389 -1.622145315 #>  [21] -1.139302224 -0.653020621  1.259829155 -1.657913877 -0.205151049 #>  [26]  0.471233597  0.126930606  0.776793531  0.463766570  1.121856454 #>  [31]  0.287754635 -0.942991367 -1.326285422 -0.831089780  0.870650245 #>  [36]  2.220308388 -0.517924250  0.176057409 -0.079394425  0.464457785 #>  [41] -1.228834634 -0.827114503 -0.442650039  0.563441181  3.045195603 #>  [46]  0.630522340 -2.287277571 -1.963242402 -0.587886403  0.660829020 #>  [51]  0.575452544 -0.732980663  0.646981831 -0.304213920  0.478974620 #>  [56] -0.680208172  1.020957064  0.211375567  2.556798079 -0.357284695 #>  [61]  1.296430536 -0.106096171 -1.788955128  1.306353861  0.267957365 #>  [66]  0.046148651  0.881654738 -1.521475135 -1.074093381  0.784098611 #>  [71] -1.325868925 -0.908470832  0.092405292 -0.637334735  0.420245842 #>  [76] -0.445381955 -0.005572972 -0.095291648  1.458740814 -0.225460424 #>  [81]  0.539405404  0.914422018  0.849907176  1.167660314  0.872550773 #>  [86] -2.588423803 -0.614142664  0.739495589  0.065735720 -0.789692769 #>  [91] -0.382117193 -0.542426104 -0.499944756  2.499905149  0.345791751 #>  [96] -0.489950558  1.045149401 -0.597249064  0.385316128 -1.478374322 #>  #> $input_data$`tidy_normal(.mean = 5, .sd = 1)` #> # A tibble: 50 × 7 #>    sim_number     x     y    dx       dy      p     q #>    <fct>      <int> <dbl> <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1  4.75  1.90 0.000361 0.401   4.75 #>  2 1              2  5.83  2.02 0.00102  0.797   5.83 #>  3 1              3  4.81  2.14 0.00255  0.425   4.81 #>  4 1              4  3.95  2.26 0.00563  0.147   3.95 #>  5 1              5  4.42  2.38 0.0110   0.282   4.42 #>  6 1              6  2.90  2.50 0.0192   0.0179  2.90 #>  7 1              7  4.51  2.62 0.0299   0.313   4.51 #>  8 1              8  6.53  2.73 0.0420   0.937   6.53 #>  9 1              9  6.73  2.85 0.0541   0.958   6.73 #> 10 1             10  6.07  2.97 0.0654   0.857   6.07 #> # ℹ 40 more rows #>  #>   output$plots #> $line_plot  #>  #> $dens_plot  #>   output$input_fns #> [[1]] #> rnorm(100, 0, 1) #>  #> [[2]] #> tidy_normal(.mean = 5, .sd = 1) #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"","code":"tidy_multi_dist_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":".data data passed function tidy_multi_dist() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"","code":"tn <- tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 100,     .mean = c(-2, 0, 2),     .sd = 1,     .num_sims = 5,     .return_tibble = TRUE   ) )  tn |>   tidy_multi_dist_autoplot()   tn |>   tidy_multi_dist_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Generate multiple distributions data tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"","code":"tidy_multi_single_dist(.tidy_dist = NULL, .param_list = list())"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":".tidy_dist type tidy_ distribution want run. can choose one. .param_list must list() object parameters want pass TidyDensity tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Generate multiple distributions data tidy_ distribution function. allows simulate multiple distributions family order view shapes change parameter changes. can visualize differences however choose.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"","code":"tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 50,     .mean = c(-1, 0, 1),     .sd = 1,     .num_sims = 3,     .return_tibble = TRUE   ) ) #> # A tibble: 450 × 8 #>    sim_number dist_name             x      y    dx       dy      p      q #>    <fct>      <fct>             <int>  <dbl> <dbl>    <dbl>  <dbl>  <dbl> #>  1 1          Gaussian c(-1, 1)     1 -1.00  -4.51 0.000224 0.499  -1.00  #>  2 1          Gaussian c(-1, 1)     2 -1.21  -4.37 0.000584 0.417  -1.21  #>  3 1          Gaussian c(-1, 1)     3 -1.55  -4.23 0.00136  0.291  -1.55  #>  4 1          Gaussian c(-1, 1)     4 -2.00  -4.10 0.00285  0.159  -2.00  #>  5 1          Gaussian c(-1, 1)     5 -0.998 -3.96 0.00537  0.501  -0.998 #>  6 1          Gaussian c(-1, 1)     6 -1.80  -3.82 0.00915  0.211  -1.80  #>  7 1          Gaussian c(-1, 1)     7 -0.949 -3.69 0.0143   0.520  -0.949 #>  8 1          Gaussian c(-1, 1)     8 -1.42  -3.55 0.0207   0.336  -1.42  #>  9 1          Gaussian c(-1, 1)     9 -2.30  -3.42 0.0288   0.0960 -2.30  #> 10 1          Gaussian c(-1, 1)    10 -1.35  -3.28 0.0392   0.365  -1.35  #> # ℹ 440 more rows  tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 50,     .mean = c(-1, 0, 1),     .sd = 1,     .num_sims = 3,     .return_tibble = FALSE   ) ) #>      sim_number         dist_name     x          y        dx           dy #>          <fctr>            <fctr> <int>      <num>     <num>        <num> #>   1:          1 Gaussian c(-1, 1)     1 -1.1246093 -4.795337 0.0002178942 #>   2:          1 Gaussian c(-1, 1)     2 -0.1464203 -4.641775 0.0006045876 #>   3:          1 Gaussian c(-1, 1)     3 -2.6360620 -4.488213 0.0014859375 #>   4:          1 Gaussian c(-1, 1)     4 -1.7831379 -4.334651 0.0032434431 #>   5:          1 Gaussian c(-1, 1)     5 -1.5017047 -4.181089 0.0063089364 #>  ---                                                                      #> 446:          3  Gaussian c(1, 1)    46 -0.2268759  4.237218 0.0067100536 #> 447:          3  Gaussian c(1, 1)    47  0.5696987  4.375429 0.0035494345 #> 448:          3  Gaussian c(1, 1)    48  1.1117364  4.513640 0.0016472812 #> 449:          3  Gaussian c(1, 1)    49 -0.3629532  4.651851 0.0006702934 #> 450:          3  Gaussian c(1, 1)    50 -0.2865964  4.790063 0.0002390150 #>               p          q #>           <num>      <num> #>   1: 0.45041645 -1.1246093 #>   2: 0.80333106 -0.1464203 #>   3: 0.05091331 -2.6360620 #>   4: 0.21677307 -1.7831379 #>   5: 0.30793764 -1.5017047 #>  ---                       #> 446: 0.10993461 -0.2268759 #> 447: 0.33348825  0.5696987 #> 448: 0.54448378  1.1117364 #> 449: 0.08644864 -0.3629532 #> 450: 0.09911749 -0.2865964"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"function generate n random points negative binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"","code":"tidy_negative_binomial(   .n = 50,   .size = 1,   .prob = 0.1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":".n number randomly generated points want. .size target number successful trials, dispersion parameter (shape parameter gamma mixing distribution). Must strictly positive, need integer. .prob Probability success trial 0 < .prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"function uses underlying stats::rnbinom(), underlying p, d, q functions. information please see stats::rnbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"","code":"tidy_negative_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy     p     q #>    <fct>      <int> <int>  <dbl>    <dbl> <dbl> <dbl> #>  1 1              1     2 -8.06  0.000221 0.271     2 #>  2 1              2     1 -6.55  0.00109  0.190     1 #>  3 1              3    11 -5.04  0.00404  0.718    11 #>  4 1              4     4 -3.52  0.0113   0.410     4 #>  5 1              5    16 -2.01  0.0243   0.833    16 #>  6 1              6     7 -0.499 0.0411   0.570     7 #>  7 1              7     0  1.01  0.0559   0.1       0 #>  8 1              8     2  2.53  0.0632   0.271     2 #>  9 1              9     0  4.04  0.0621   0.1       0 #> 10 1             10     1  5.55  0.0566   0.190     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"function generate n random points Gaussian distribution user provided, .mean, .sd - standard deviation number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, dnorm, pnorm qnorm data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"","code":"tidy_normal(.n = 50, .mean = 0, .sd = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":".n number randomly generated points want. .mean mean randomly generated data. .sd standard deviation randomly generated data. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"function uses underlying stats::rnorm(), stats::pnorm(), stats::qnorm() functions generate data given parameters. information please see stats::rnorm()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"","code":"tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x       y    dx       dy     p       q #>    <fct>      <int>   <dbl> <dbl>    <dbl> <dbl>   <dbl> #>  1 1              1  0.920  -3.64 0.000224 0.821  0.920  #>  2 1              2  0.166  -3.50 0.000595 0.566  0.166  #>  3 1              3  0.0983 -3.37 0.00140  0.539  0.0983 #>  4 1              4 -0.231  -3.23 0.00293  0.409 -0.231  #>  5 1              5 -1.17   -3.09 0.00544  0.121 -1.17   #>  6 1              6  0.468  -2.95 0.00899  0.680  0.468  #>  7 1              7 -1.16   -2.81 0.0133   0.124 -1.16   #>  8 1              8  0.657  -2.68 0.0176   0.745  0.657  #>  9 1              9 -0.729  -2.54 0.0213   0.233 -0.729  #> 10 1             10  1.27   -2.40 0.0244   0.897  1.27   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"function generate n random points paralogistic distribution user provided, .shape, .rate, .scale number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"","code":"tidy_paralogistic(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"function uses underlying actuar::rparalogis(), underlying p, d, q functions. information please see actuar::rparalogis()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"","code":"tidy_paralogistic() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy     p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1  1.25  -2.49  0.000878 0.556  1.25  #>  2 1              2  1.34  -0.936 0.0615   0.573  1.34  #>  3 1              3  0.981  0.623 0.247    0.495  0.981 #>  4 1              4  2.70   2.18  0.149    0.730  2.70  #>  5 1              5  1.04   3.74  0.0599   0.510  1.04  #>  6 1              6  0.251  5.30  0.0371   0.200  0.251 #>  7 1              7 35.6    6.86  0.0101   0.973 35.6   #>  8 1              8  0.917  8.41  0.000610 0.478  0.917 #>  9 1              9  0.462  9.97  0.00770  0.316  0.462 #> 10 1             10 17.4   11.5   0.00459  0.946 17.4   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"function generate n random points pareto distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"","code":"tidy_pareto(   .n = 50,   .shape = 10,   .scale = 0.1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":".n number randomly generated points want. .shape Must positive. .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"function uses underlying actuar::rpareto(), underlying p, d, q functions. information please see actuar::rpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"","code":"tidy_pareto() #> # A tibble: 50 × 7 #>    sim_number     x        y        dx     dy      p        q #>    <fct>      <int>    <dbl>     <dbl>  <dbl>  <dbl>    <dbl> #>  1 1              1 0.00692  -0.0131    0.139 0.488  0.00692  #>  2 1              2 0.00881  -0.0115    0.403 0.570  0.00881  #>  3 1              3 0.00137  -0.00998   1.04  0.127  0.00137  #>  4 1              4 0.00659  -0.00843   2.40  0.472  0.00659  #>  5 1              5 0.0151   -0.00687   4.95  0.755  0.0151   #>  6 1              6 0.000987 -0.00532   9.18  0.0935 0.000987 #>  7 1              7 0.00428  -0.00376  15.3   0.343  0.00428  #>  8 1              8 0.0203   -0.00221  23.0   0.843  0.0203   #>  9 1              9 0.000921 -0.000652 31.4   0.0876 0.000921 #> 10 1             10 0.00140   0.000903 39.2   0.130  0.00140  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"function generate n random points single parameter pareto distribution user provided, .shape, .min, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"","code":"tidy_pareto1(   .n = 50,   .shape = 1,   .min = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":".n number randomly generated points want. .shape Must positive. .min lower bound support distribution. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"function uses underlying actuar::rpareto1(), underlying p, d, q functions. information please see actuar::rpareto1()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"","code":"tidy_pareto1() #> # A tibble: 50 × 7 #>    sim_number     x      y    dx       dy     p      q #>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1   7.01 -2.57 1.87e- 3 0.857   7.01 #>  2 1              2   1.89  7.53 3.45e- 2 0.471   1.89 #>  3 1              3   1.62 17.6  1.57e-10 0.383   1.62 #>  4 1              4   6.07 27.7  8.30e- 3 0.835   6.07 #>  5 1              5   2.55 37.8  5.34e- 6 0.607   2.55 #>  6 1              6   1.27 47.9  7.03e-18 0.211   1.27 #>  7 1              7   1.52 58.0  1.08e-18 0.344   1.52 #>  8 1              8   2.31 68.1  0        0.567   2.31 #>  9 1              9 489.   78.2  1.56e-18 0.998 489.   #> 10 1             10   2.56 88.3  0        0.610   2.56 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"function generate n random points Poisson distribution user provided, .lambda, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"","code":"tidy_poisson(.n = 50, .lambda = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":".n number randomly generated points want. .lambda vector non-negative means. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"function uses underlying stats::rpois(), underlying p, d, q functions. information please see stats::rpois()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"","code":"tidy_poisson() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <int>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1     3 -1.24   0.00325 0.981     3 #>  2 1              2     2 -1.11   0.00803 0.920     2 #>  3 1              3     1 -0.979  0.0179  0.736     1 #>  4 1              4     0 -0.846  0.0361  0.368     0 #>  5 1              5     1 -0.714  0.0658  0.736     1 #>  6 1              6     1 -0.581  0.108   0.736     1 #>  7 1              7     1 -0.449  0.162   0.736     1 #>  8 1              8     3 -0.317  0.219   0.981     3 #>  9 1              9     0 -0.184  0.269   0.368     0 #> 10 1             10     1 -0.0519 0.303   0.736     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Random Walk — tidy_random_walk","title":"Tidy Random Walk — tidy_random_walk","text":"Takes data tidy_ distribution function applies random walk calculation either cum_prod cum_sum y.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Random Walk — tidy_random_walk","text":"","code":"tidy_random_walk(   .data,   .initial_value = 0,   .sample = FALSE,   .replace = FALSE,   .value_type = \"cum_prod\" )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Random Walk — tidy_random_walk","text":".data data passed tidy_ distribution function. .initial_value default 0, can set whatever want. .sample boolean value TRUE/FALSE. default FALSE. set TRUE y value tidy_ distribution function sampled. .replace boolean value TRUE/FALSE. default FALSE. set TRUE .sample set TRUE replace parameter sample function set TRUE. .value_type can take one three different values now. following: \"cum_prod\" - take cumprod y \"cum_sum\" - take cumsum y","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Random Walk — tidy_random_walk","text":"ungrouped tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Random Walk — tidy_random_walk","text":"Monte Carlo simulations first formally designed 1940’s developing nuclear weapons, since heavily used various fields use randomness solve problems potentially deterministic nature. finance, Monte Carlo simulations can useful tool give sense assets certain characteristics might behave future. complex sophisticated financial forecasting methods ARIMA (Auto-Regressive Integrated Moving Average) GARCH (Generalised Auto-Regressive Conditional Heteroskedasticity) attempt model randomness underlying macro factors seasonality volatility clustering, Monte Carlo random walks work surprisingly well illustrating market volatility long results taken seriously.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Random Walk — tidy_random_walk","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Random Walk — tidy_random_walk","text":"","code":"tidy_normal(.sd = .1, .num_sims = 25) %>%   tidy_random_walk() #> # A tibble: 1,250 × 8 #>    sim_number     x        y     dx      dy      p        q random_walk_value #>    <fct>      <int>    <dbl>  <dbl>   <dbl>  <dbl>    <dbl>             <dbl> #>  1 1              1  0.0714  -0.333 0.00281 0.762   0.0714            0.0714  #>  2 1              2  0.159   -0.320 0.00727 0.944   0.159             0.242   #>  3 1              3  0.0641  -0.307 0.0172  0.739   0.0641            0.321   #>  4 1              4 -0.0278  -0.294 0.0372  0.390  -0.0278            0.284   #>  5 1              5 -0.0193  -0.281 0.0740  0.424  -0.0193            0.260   #>  6 1              6 -0.188   -0.268 0.135   0.0298 -0.188             0.0224  #>  7 1              7 -0.0128  -0.255 0.227   0.449  -0.0128            0.00930 #>  8 1              8  0.00734 -0.243 0.354   0.529   0.00734           0.0167  #>  9 1              9  0.122   -0.230 0.512   0.888   0.122             0.140   #> 10 1             10  0.0262  -0.217 0.691   0.603   0.0262            0.170   #> # ℹ 1,240 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"auto-plotting function take tidy_ distribution function arguments regard output visualization. number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"","code":"tidy_random_walk_autoplot(   .data,   .line_size = 0.5,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .line_size size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"function produce simple random walk plot tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"","code":"tidy_normal(.sd = .1, .num_sims = 5) |>   tidy_random_walk(.value_type = \"cum_sum\") |>   tidy_random_walk_autoplot()   tidy_normal(.sd = .1, .num_sims = 20) |>   tidy_random_walk(.value_type = \"cum_sum\", .sample = TRUE, .replace = TRUE) |>   tidy_random_walk_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Get the range statistic — tidy_range_statistic","title":"Get the range statistic — tidy_range_statistic","text":"Takes numeric vector returns back range vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Get the range statistic — tidy_range_statistic","text":"","code":"tidy_range_statistic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Get the range statistic — tidy_range_statistic","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Get the range statistic — tidy_range_statistic","text":"single number, range statistic","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Get the range statistic — tidy_range_statistic","text":"Takes numeric vector returns range vector using diff range functions.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Get the range statistic — tidy_range_statistic","text":"Steven P. Sandeson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Get the range statistic — tidy_range_statistic","text":"","code":"tidy_range_statistic(seq(1:10)) #> [1] 9"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Takes numeric vector return vector scaled [0,1]","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"","code":"tidy_scale_zero_one_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":".x numeric vector scaled [0,1] inclusive.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Takes numeric vector return vector scaled [0,1] input vector must numeric. computation fairly straightforward. may helpful trying compare distributions data distribution like beta requires data 0 1 $$y[h] = (x - min(x))/(max(x) - min(x))$$","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"","code":"vec_1 <- rnorm(100, 2, 1) vec_2 <- tidy_scale_zero_one_vec(vec_1)  dens_1 <- density(vec_1) dens_2 <- density(vec_2) max_x <- max(dens_1$x, dens_2$x) max_y <- max(dens_1$y, dens_2$y) plot(dens_1,   asp = max_y / max_x, main = \"Density vec_1 (Red) and vec_2 (Blue)\",   col = \"red\", xlab = \"\", ylab = \"Density of Vec 1 and Vec 2\" ) lines(dens_2, col = \"blue\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Skewness of a Vector — tidy_skewness_vec","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"function takes vector input return skewness vector. length vector must least four numbers. skewness explains 'tailedness' distribution data. ((1/n) * sum(x - mu})^3) / ((()1/n) * sum(x - mu)^2)^(3/2)","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"","code":"tidy_skewness_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":".x numeric vector length four .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"skewness vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"function return skewness vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"","code":"tidy_skewness_vec(rnorm(100, 3, 2)) #> [1] -0.2125557"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"function return stat function values given tidy_ distribution output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"","code":"tidy_stat_tbl(   .data,   .x = y,   .fns,   .return_type = \"vector\",   .use_data_table = FALSE,   ... )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":".data input data coming tidy_ distribution function. .x default y can one columns input data. .fns default IQR, can stat function like quantile median etc. .return_type default \"vector\" returns sapply object. .use_data_table default FALSE, TRUE use data.table hood still return tibble. argument set TRUE .return_type parameter ignored. ... Addition function arguments supplied parameters .fns","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"return object either sapply  lapply tibble based upon user input.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"function return value(s) given tidy_ distribution function output chosen column . function work tidy_ distribution functions. currently three different output types function. : \"vector\" - gives sapply() output \"list\" - gives lapply() output, \"tibble\" - returns tibble long format. Currently can pass stat function performs operation vector input. means can pass things like IQR, quantile associated arguments ... portion function. function also default rename value column tibble name function. function also give column name sim_number tibble output corresponding simulation numbers values. sapply lapply outputs column names also give simulation number information making column names like sim_number_1 etc. option .use_data_table can greatly enhance speed calculations performed used still returning tibble. calculations performed turning input data data.table object, performing necessary calculation converting back tibble object.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"","code":"tn <- tidy_normal(.num_sims = 3)  p <- c(0.025, 0.25, 0.5, 0.75, 0.95)  tidy_stat_tbl(tn, y, quantile, \"vector\", probs = p, na.rm = TRUE) #>      sim_number_1 sim_number_2 sim_number_3 #> 2.5% -1.155744347   -1.5520265   -1.7105114 #> 25%  -0.546097181   -0.5562330   -0.6214001 #> 50%  -0.003455774   -0.1364431   -0.2174605 #> 75%   0.791361807    0.9394630    0.7260055 #> 95%   1.652023410    1.4163207    1.4707561 tidy_stat_tbl(tn, y, quantile, \"list\", probs = p) #> $sim_number_1 #>         2.5%          25%          50%          75%          95%  #> -1.155744347 -0.546097181 -0.003455774  0.791361807  1.652023410  #>  #> $sim_number_2 #>       2.5%        25%        50%        75%        95%  #> -1.5520265 -0.5562330 -0.1364431  0.9394630  1.4163207  #>  #> $sim_number_3 #>       2.5%        25%        50%        75%        95%  #> -1.7105114 -0.6214001 -0.2174605  0.7260055  1.4707561  #>  tidy_stat_tbl(tn, y, quantile, \"tibble\", probs = p) #> # A tibble: 15 × 3 #>    sim_number name  quantile #>    <fct>      <chr>    <dbl> #>  1 1          2.5%  -1.16    #>  2 1          25%   -0.546   #>  3 1          50%   -0.00346 #>  4 1          75%    0.791   #>  5 1          95%    1.65    #>  6 2          2.5%  -1.55    #>  7 2          25%   -0.556   #>  8 2          50%   -0.136   #>  9 2          75%    0.939   #> 10 2          95%    1.42    #> 11 3          2.5%  -1.71    #> 12 3          25%   -0.621   #> 13 3          50%   -0.217   #> 14 3          75%    0.726   #> 15 3          95%    1.47    tidy_stat_tbl(tn, y, quantile, .use_data_table = TRUE, probs = p, na.rm = TRUE) #> # A tibble: 15 × 3 #>    sim_number name  quantile #>    <fct>      <fct>    <dbl> #>  1 1          2.5%  -1.16    #>  2 1          25%   -0.546   #>  3 1          50%   -0.00346 #>  4 1          75%    0.791   #>  5 1          95%    1.65    #>  6 2          2.5%  -1.55    #>  7 2          25%   -0.556   #>  8 2          50%   -0.136   #>  9 2          75%    0.939   #> 10 2          95%    1.42    #> 11 3          2.5%  -1.71    #> 12 3          25%   -0.621   #> 13 3          50%   -0.217   #> 14 3          75%    0.726   #> 15 3          95%    1.47"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated T Distribution Tibble — tidy_t","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"function generate n random points rt distribution user provided, df, ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"","code":"tidy_t(.n = 50, .df = 1, .ncp = 0, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":".n number randomly generated points want. .df Degrees freedom, Inf allowed. .ncp Non-centrality parameter. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"function uses underlying stats::rt(), underlying p, d, q functions. information please see stats::rt()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"","code":"tidy_t() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -0.0479 -13.4  0.000151 0.485  -0.0479 #>  2 1              2  0.978  -12.2  0.00725  0.746   0.978  #>  3 1              3 -7.80   -11.0  0.00856  0.0406 -7.80   #>  4 1              4 -1.10    -9.75 0.000438 0.235  -1.10   #>  5 1              5 -2.24    -8.52 0.0136   0.134  -2.24   #>  6 1              6 -1.66    -7.30 0.0323   0.173  -1.66   #>  7 1              7  1.83    -6.07 0.0122   0.841   1.83   #>  8 1              8 17.0     -4.85 0.00694  0.981  17.0    #>  9 1              9 -1.31    -3.63 0.00835  0.208  -1.31   #> 10 1             10 -0.780   -2.40 0.0546   0.289  -0.780  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate Tidy Data from Triangular Distribution — tidy_triangular","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"function generates tidy data triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"","code":"tidy_triangular(   .n = 50,   .min = 0,   .max = 1,   .mode = 1/2,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":".n number x values simulation. .min minimum value triangular distribution. .max maximum value triangular distribution. .mode mode (peak) value triangular distribution. .num_sims number simulations perform. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"function takes parameters triangular distribution (minimum, maximum, mode), number x values (n), number simulations (num_sims), option return result tibble (return_tibble). performs various checks input parameters ensure validity. result data frame tibble tidy data analysis.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"","code":"tidy_triangular(.return_tibble = TRUE) #> # A tibble: 50 × 7 #>    sim_number     x      y       dx      dy      p      q #>    <fct>      <int>  <dbl>    <dbl>   <dbl>  <dbl>  <dbl> #>  1 1              1 0.441  -0.155   0.00198 0.389  0.441  #>  2 1              2 0.332  -0.129   0.00505 0.221  0.332  #>  3 1              3 0.753  -0.103   0.0117  0.878  0.753  #>  4 1              4 0.808  -0.0770  0.0247  0.926  0.808  #>  5 1              5 0.780  -0.0509  0.0478  0.903  0.780  #>  6 1              6 0.0936 -0.0249  0.0845  0.0175 0.0936 #>  7 1              7 0.564   0.00118 0.137   0.620  0.564  #>  8 1              8 0.590   0.0272  0.207   0.664  0.590  #>  9 1              9 0.679   0.0533  0.292   0.794  0.679  #> 10 1             10 0.743   0.0793  0.388   0.868  0.743  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"function generate n random points uniform distribution user provided, .min .max values, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"","code":"tidy_uniform(.n = 50, .min = 0, .max = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":".n number randomly generated points want. .min lower limit distribution. .max upper limit distribution .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"function uses underlying stats::runif(), underlying p, d, q functions. information please see stats::runif()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"","code":"tidy_uniform() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.104 -0.345  0.00179 0.104 0.104 #>  2 1              2 0.399 -0.310  0.00427 0.399 0.399 #>  3 1              3 0.561 -0.276  0.00941 0.561 0.561 #>  4 1              4 0.568 -0.242  0.0191  0.568 0.568 #>  5 1              5 0.189 -0.208  0.0361  0.189 0.189 #>  6 1              6 0.533 -0.173  0.0633  0.533 0.533 #>  7 1              7 0.446 -0.139  0.104   0.446 0.446 #>  8 1              8 0.174 -0.105  0.159   0.174 0.174 #>  9 1              9 0.822 -0.0709 0.232   0.822 0.822 #> 10 1             10 0.801 -0.0367 0.322   0.801 0.801 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"function generate n random points weibull distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"","code":"tidy_weibull(   .n = 50,   .shape = 1,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":".n number randomly generated points want. .shape Shape parameter defaults 0. .scale Scale parameter defaults 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"function uses underlying stats::rweibull(), underlying p, d, q functions. information please see stats::rweibull()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"","code":"tidy_weibull() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.948 -1.17   0.00130 0.613 0.948 #>  2 1              2 1.65  -1.01   0.00448 0.807 1.65  #>  3 1              3 0.155 -0.851  0.0131  0.144 0.155 #>  4 1              4 0.508 -0.691  0.0332  0.398 0.508 #>  5 1              5 2.04  -0.530  0.0723  0.869 2.04  #>  6 1              6 0.803 -0.369  0.136   0.552 0.803 #>  7 1              7 0.889 -0.208  0.224   0.589 0.889 #>  8 1              8 1.34  -0.0469 0.322   0.737 1.34  #>  9 1              9 0.631  0.114  0.411   0.468 0.631 #> 10 1             10 0.318  0.275  0.470   0.272 0.318 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"function generate n random points zero truncated binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"","code":"tidy_zero_truncated_binomial(   .n = 50,   .size = 1,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial 0 <= prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"function uses underlying actuar::rztbinom(), underlying p, d, q functions. information please see actuar::rztbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"","code":"tidy_zero_truncated_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"function generate n random points zero truncated Geometric distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"","code":"tidy_zero_truncated_geometric(   .n = 50,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":".n number randomly generated points want. .prob probability success trial 0 < prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"function uses underlying actuar::rztgeom(), underlying p, d, q functions. information please see actuar::rztgeom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"","code":"tidy_zero_truncated_geometric() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"function generate n random points zero truncated binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"","code":"tidy_zero_truncated_negative_binomial(   .n = 50,   .size = 0,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial 0 <= prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"function uses underlying actuar::rztnbinom(), underlying p, d, q functions. information please see actuar::rztnbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"","code":"tidy_zero_truncated_negative_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"function generate n random points Zero Truncated Poisson distribution user provided, .lambda, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"","code":"tidy_zero_truncated_poisson(   .n = 50,   .lambda = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":".n number randomly generated points want. .lambda vector non-negative means. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"function uses underlying actuar::rztpois(), underlying p, d, q functions. information please see actuar::rztpois()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"","code":"tidy_zero_truncated_poisson() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx      dy     p     q #>    <fct>      <int> <int>  <dbl>   <dbl> <dbl> <dbl> #>  1 1              1     1 0.0786 0.00729 0.582     1 #>  2 1              2     1 0.177  0.0182  0.582     1 #>  3 1              3     1 0.276  0.0407  0.582     1 #>  4 1              4     1 0.375  0.0824  0.582     1 #>  5 1              5     2 0.474  0.150   0.873     2 #>  6 1              6     2 0.573  0.247   0.873     2 #>  7 1              7     1 0.672  0.367   0.582     1 #>  8 1              8     1 0.770  0.491   0.582     1 #>  9 1              9     2 0.869  0.594   0.873     2 #> 10 1             10     1 0.968  0.647   0.582     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":null,"dir":"Reference","previous_headings":"","what":"Triangle Distribution PDF Plot — triangle_plot","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function generates probability density function (PDF) plot triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Triangle Distribution PDF Plot — triangle_plot","text":"","code":"triangle_plot(.data, .interactive = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Triangle Distribution PDF Plot — triangle_plot","text":".data Tidy data tidy_triangular function. .interactive logical value indicating whether return interactive plot using plotly. Default FALSE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function returns ggplot2 object representing probability density function plot triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function checks input data data frame tibble, comes tidy_triangular function. extracts necessary attributes plot creates PDF plot using ggplot2. plot includes data points segments represent triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Triangle Distribution PDF Plot — triangle_plot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Triangle Distribution PDF Plot — triangle_plot","text":"","code":"# Example: Generating a PDF plot for the triangular distribution data <- tidy_triangular(.n = 50, .min = 0, .max = 1, .mode = 1/2, .num_sims = 1, .return_tibble = TRUE) triangle_plot(data) #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row."},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"function attempt estimate Bernoulli prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Bernoulli data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"","code":"util_bernoulli_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Bernoulli distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- tidy_bernoulli(.prob = .1) |> pull(y) output <- util_bernoulli_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size   min   max  mean variance sum_x  prob #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <dbl> #> 1 Bernoulli        50     0     1  0.08   0.0736     4  0.08  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_bernoulli_stats_tbl","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"","code":"util_bernoulli_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"","code":"library(dplyr)  tidy_bernoulli() |>   util_bernoulli_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function      <chr> \"tidy_bernoulli\" #> $ function_call      <chr> \"Bernoulli c(0.1)\" #> $ distribution       <chr> \"Bernoulli\" #> $ distribution_type  <chr> \"discrete\" #> $ points             <dbl> 50 #> $ simulations        <dbl> 1 #> $ mean               <dbl> 0.1 #> $ mode               <chr> \"0\" #> $ coeff_var          <dbl> 0.09 #> $ skewness           <dbl> 2.666667 #> $ kurtosis           <dbl> 5.111111 #> $ mad                <dbl> 0.5 #> $ entropy            <dbl> 0.325083 #> $ fisher_information <dbl> 11.11111 #> $ computed_std_skew  <dbl> 1.854852 #> $ computed_std_kurt  <dbl> 4.440476 #> $ ci_lo              <dbl> 0 #> $ ci_hi              <dbl> 1"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"function estimates parameters beta distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"","code":"util_beta_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":".x numeric vector containing data fitted beta distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"AIC value calculated based fitted beta distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"function calculates Akaike Information Criterion (AIC) beta distribution fitted provided data. Initial parameter estimates: choice initial values can impact convergence optimization. Optimization method: might explore different optimization methods within optim potentially better performance. Data transformation: Depending data, may need apply transformations (e.g., scaling [0,1] interval) fitting beta distribution. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rbeta(30, 1, 1) util_beta_aic(x) #> There was no need to scale the data. #> [1] 5.691712"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Beta Parameters — util_beta_param_estimate","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"function automatically scale data 0 1 already. means can pass vector like mtcars$mpg worry . function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated beta data. Three different methods shape parameters supplied: Bayes NIST mme EnvStats mme, see EnvStats::ebeta()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"","code":"util_beta_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Beta Parameters — util_beta_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"function attempt estimate beta shape1 shape2 parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_beta_param_estimate(x) #> For the beta distribution, its mean 'mu' should be 0 < mu < 1. The data will #> therefore be scaled to enforce this.  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean variance method       shape1 shape2 #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>         <dbl>  <dbl> #> 1 Beta             32  10.4  33.9 0.412   0.0658 Bayes         13.2   18.8  #> 2 Beta             32  10.4  33.9 0.412   0.0658 NIST_MME       1.11   1.58 #> 3 Beta             32  10.4  33.9 0.412   0.0658 EnvStats_MME   1.16   1.65 #> # ℹ 1 more variable: shape_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   tb <- rbeta(50, 2.5, 1.4) util_beta_param_estimate(tb)$parameter_tbl #> There was no need to scale the data. #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean variance method       shape1 shape2 #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>         <dbl>  <dbl> #> 1 Beta             50 0.119 0.999 0.624   0.0584 Bayes         31.2   18.8  #> 2 Beta             50 0.119 0.999 0.624   0.0584 NIST_MME       1.88   1.14 #> 3 Beta             50 0.119 0.999 0.624   0.0584 EnvStats_MME   1.93   1.17 #> # ℹ 1 more variable: shape_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_beta_stats_tbl","title":"Distribution Statistics — util_beta_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_beta_stats_tbl","text":"","code":"util_beta_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_beta_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_beta_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_beta_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_beta_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_beta_stats_tbl","text":"","code":"library(dplyr)  tidy_beta() |>   util_beta_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_beta\" #> $ function_call     <chr> \"Beta c(1, 1, 0)\" #> $ distribution      <chr> \"Beta\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ mode              <chr> \"undefined\" #> $ range             <chr> \"0 to 1\" #> $ std_dv            <dbl> 0.2886751 #> $ coeff_var         <dbl> 0.5773503 #> $ skewness          <dbl> 0 #> $ kurtosis          <lgl> NA #> $ computed_std_skew <dbl> 0.2040789 #> $ computed_std_kurt <dbl> 1.900449 #> $ ci_lo             <dbl> 0.016034 #> $ ci_hi             <dbl> 0.9453242"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"function estimates size probability parameters binomial distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"","code":"util_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":".x numeric vector containing data fitted binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"AIC value calculated based fitted binomial distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) binomial distribution fitted provided data. function fits binomial distribution provided data. estimates size probability parameters binomial distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points size probability parameters binomial distribution. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rbinom(30, size = 10, prob = 0.2) util_binomial_aic(x) #> [1] 170.3297"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Binomial Parameters — util_binomial_param_estimate","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"function check see given vector .x either numeric vector factor vector least two levels cause error function abort. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated binomial data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"","code":"util_binomial_param_estimate(.x, .size = NULL, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .size Number trials, zero . .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"function attempt estimate binomial p_hat size parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- rbinom(50, 1, .1) output <- util_binomial_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type samp_size   min   max  mean variance method   prob  size shape_ratio #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>   <dbl> <int>       <dbl> #> 1 Binomial         50     0     1  0.04   0.0392 EnvSta…  0.04    50      0.0008  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_binomial_stats_tbl","title":"Distribution Statistics — util_binomial_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_binomial_stats_tbl","text":"","code":"util_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_binomial() |>   util_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_binomial\" #> $ function_call     <chr> \"Binomial c(0, 1)\" #> $ distribution      <chr> \"Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode_lower        <dbl> 0 #> $ mode_upper        <dbl> 1 #> $ range             <chr> \"0 to 0\" #> $ std_dv            <dbl> 0 #> $ coeff_var         <dbl> NaN #> $ skewness          <dbl> -Inf #> $ kurtosis          <dbl> NaN #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Burr Parameters — util_burr_param_estimate","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"function attempt estimate Burr prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Burr data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"","code":"util_burr_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Burr Parameters — util_burr_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Burr distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- tidy_burr(.shape1 = 1, .shape2 = 2, .rate = .3) |> pull(y) output <- util_burr_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>         <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Burr             50 0.478  32.4  4.39  0.948   2.75 0.306  3.27  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_burr_stats_tbl","title":"Distribution Statistics — util_burr_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_burr_stats_tbl","text":"","code":"util_burr_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_burr_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_burr_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_burr_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_burr_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_burr_stats_tbl","text":"","code":"library(dplyr)  tidy_burr() |>   util_burr_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_burr\" #> $ function_call     <chr> \"Burr c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Burr\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.5 #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> -0.75 #> $ skewness          <dbl> 1.31969 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 5.950949 #> $ computed_std_kurt <dbl> 38.88792 #> $ ci_lo             <dbl> 0.03208211 #> $ ci_hi             <dbl> 41.55054"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"function estimates parameters Cauchy distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"","code":"util_cauchy_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":".x numeric vector containing data fitted Cauchy distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"AIC value calculated based fitted Cauchy distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"function calculates Akaike Information Criterion (AIC) Cauchy distribution fitted provided data. function fits Cauchy distribution provided data using maximum likelihood estimation. first estimates initial parameters Cauchy distribution using method moments. , optimizes negative log-likelihood function using provided data initial parameter estimates. Finally, calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates initial location scale parameters Cauchy distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rcauchy(30) util_cauchy_aic(x) #> [1] 152.304"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Cauchy Parameters — util_cauchy_param_estimate","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated cauchy data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"","code":"util_cauchy_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"function attempt estimate cauchy location scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_cauchy(.location = 0, .scale = 1)$y output <- util_cauchy_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size   min   max method location scale ratio #>   <chr>         <int> <dbl> <dbl> <chr>     <dbl> <dbl> <dbl> #> 1 Cauchy           50 -27.7  27.9 MASS      0.305  2.61 0.117  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_cauchy_stats_tbl","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"","code":"util_cauchy_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_cauchy_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"","code":"library(dplyr)  tidy_cauchy() |>   util_cauchy_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_cauchy\" #> $ function_call     <chr> \"Cauchy c(0, 1)\" #> $ distribution      <chr> \"Cauchy\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ median            <dbl> 0 #> $ mode              <dbl> 0 #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <dbl> 0 #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -6.230314 #> $ computed_std_kurt <dbl> 42.42166 #> $ ci_lo             <dbl> -18.79472 #> $ ci_hi             <dbl> 8.144057"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Chisquare Parameters — util_chisquare_param_estimate","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"function attempt estimate Chisquare prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Chisquare data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"","code":"util_chisquare_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Chisquare distribution. function first performs tidyeval input data ensure numeric vector. checks least two data points, requirement parameter estimation. estimation chi-square distribution parameters performed using maximum likelihood estimation (MLE) implemented bbmle package. negative log-likelihood function minimized obtain estimates degrees freedom (doff) non-centrality parameter (ncp). Initial values optimization set based sample variance mean, can adjusted necessary. estimation fails encounters error, function returns NA doff ncp. Finally, function returns tibble containing following information: dist_type type distribution, \"Chisquare\" case. samp_size sample size, .e., number data points input vector. min minimum value data points. max maximum value data points. mean mean data points. degrees_of_freedom estimated degrees freedom (doff) chi-square distribution. ncp estimated non-centrality parameter (ncp) chi-square distribution. Additionally, argument .auto_gen_empirical set TRUE (default behavior), function also returns combined tibble containing empirical chi-square distribution data, obtained calling tidy_empirical tidy_chisquare, respectively.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tc <- tidy_chisquare(.n = 500, .df = 6, .ncp = 1) |> pull(y) output <- util_chisquare_param_estimate(tc) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced  output$parameter_tbl #> # A tibble: 1 × 7 #>   dist_type samp_size   min   max  mean   dof   ncp #>   <chr>         <int> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 Chisquare       500 0.242  23.1  6.92  6.08 0.844  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_chisquare_stats_tbl","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"","code":"util_chisquare_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_chisquare_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"","code":"library(dplyr)  tidy_chisquare() |>   util_chisquare_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_chisquare\" #> $ function_call     <chr> \"Chisquare c(1, 1)\" #> $ distribution      <chr> \"Chisquare\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ median            <dbl> 0.3333333 #> $ mode              <chr> \"undefined\" #> $ std_dv            <dbl> 1.414214 #> $ coeff_var         <dbl> 1.414214 #> $ skewness          <dbl> 2.828427 #> $ kurtosis          <dbl> 15 #> $ computed_std_skew <dbl> 1.162501 #> $ computed_std_kurt <dbl> 3.709656 #> $ ci_lo             <dbl> 0.02663531 #> $ ci_hi             <dbl> 6.90002"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"function estimates parameters chi-square distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"","code":"util_chisq_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":".x numeric vector containing data fitted chi-square distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"AIC value calculated based fitted chi-square distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"function calculates Akaike Information Criterion (AIC) chi-square distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rchisq(30, df = 3) util_chisq_aic(x) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> [1] 123.8218"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"function estimates rate parameter exponential distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"","code":"util_exponential_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":".x numeric vector containing data fitted exponential distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"AIC value calculated based fitted exponential distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"function calculates Akaike Information Criterion (AIC) exponential distribution fitted provided data. function fits exponential distribution provided data using maximum likelihood estimation. estimates rate parameter exponential distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses reciprocal mean data initial estimate rate parameter. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rexp(30) util_exponential_aic(x) #> [1] 56.42304"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Exponential Parameters — util_exponential_param_estimate","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"function attempt estimate exponential rate parameter given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated exponential data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"","code":"util_exponential_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":".x vector data passed function. Must numeric. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"function see given vector .x numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  te <- tidy_exponential(.rate = .1) |> pull(y) output <- util_exponential_param_estimate(te)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type   samp_size    min   max  mean variance method    rate #>   <chr>           <int>  <dbl> <dbl> <dbl>    <dbl> <chr>    <dbl> #> 1 Exponential        50 0.0460  45.0  8.74     66.3 NIST_MME 0.114  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_exponential_stats_tbl","title":"Distribution Statistics — util_exponential_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_exponential_stats_tbl","text":"","code":"util_exponential_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_exponential_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_exponential_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_exponential_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_exponential_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_exponential_stats_tbl","text":"","code":"library(dplyr)  tidy_exponential() |>   util_exponential_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_exponential\" #> $ function_call     <chr> \"Exponential c(1)\" #> $ distribution      <chr> \"Exponential\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ median            <dbl> 0.6931472 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 2 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 1.416342 #> $ computed_std_kurt <dbl> 4.982529 #> $ ci_lo             <dbl> 0.009799229 #> $ ci_hi             <dbl> 3.545823"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"function estimates parameters F distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"","code":"util_f_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":".x numeric vector containing data fitted F distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"AIC value calculated based fitted F distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"function calculates Akaike Information Criterion (AIC) F distribution fitted provided data. function fits F distribution input data using maximum likelihood estimation computes Akaike Information Criterion (AIC) based fitted distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"","code":"# Generate F-distributed data set.seed(123) x <- rf(100, df1 = 5, df2 = 10, ncp = 1)  # Calculate AIC for the generated data util_f_aic(x) #> [1] 250.9574"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate F Distribution Parameters — util_f_param_estimate","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"Estimate F Distribution Parameters","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"","code":"util_f_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":".x vector data passed function, data comes rf() function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"function attempt estimate F distribution parameters given vector values produced rf(). estimation method NIST Engineering Statistics Handbook.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- rf(100, df1 = 5, df2 = 10, ncp = 1) output <- util_f_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 10 #>   dist_type  samp_size   min   max  mean variance method df1_est df2_est ncp_est #>   <chr>          <int> <dbl> <dbl> <dbl>    <dbl> <chr>    <dbl>   <dbl>   <dbl> #> 1 F Distrib…       100 0.105  7.27  1.38     1.67 MME      0.987    7.67   0.211 #> 2 F Distrib…       100 0.105  7.27  1.38     1.67 MLE      6.28     6.83   0      output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_f_stats_tbl","title":"Distribution Statistics — util_f_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_f_stats_tbl","text":"","code":"util_f_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_f_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_f_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_f_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_f_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_f_stats_tbl","text":"","code":"library(dplyr)  tidy_f() |>   util_f_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_f\" #> $ function_call     <chr> \"F Distribution c(1, 1, 0)\" #> $ distribution      <chr> \"f\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ median            <chr> \"Not computed\" #> $ mode              <chr> \"undefined\" #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"Not computed\" #> $ computed_std_skew <dbl> 6.633205 #> $ computed_std_kurt <dbl> 45.89306 #> $ ci_lo             <dbl> 0.001643344 #> $ ci_hi             <dbl> 445.6116"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"function estimates shape scale parameters gamma distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"","code":"util_gamma_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":".x numeric vector containing data fitted gamma distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"AIC value calculated based fitted gamma distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"function calculates Akaike Information Criterion (AIC) gamma distribution fitted provided data. function fits gamma distribution provided data using maximum likelihood estimation. estimates shape scale parameters gamma distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters gamma distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rgamma(30, shape = 1) util_gamma_aic(x) #> [1] 58.11738"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Gamma Parameters — util_gamma_param_estimate","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"function attempt estimate gamma shape scale parameters given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated gamma data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"","code":"util_gamma_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":".x vector data passed function. Must numeric. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"function see given vector .x numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tg <- tidy_gamma(.shape = 1, .scale = .3) |> pull(y) output <- util_gamma_param_estimate(tg)  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size    min   max  mean variance method shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <dbl>    <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Gamma            50 0.0153 0.968 0.283    0.232 NIST_…  1.48 0.191        7.77 #> 2 Gamma            50 0.0153 0.968 0.283    0.232 EnvSt…  1.45 0.191        7.62 #> 3 Gamma            50 0.0153 0.968 0.283    0.232 EnvSt…  1.41 0.191        7.38  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_gamma_stats_tbl","title":"Distribution Statistics — util_gamma_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_gamma_stats_tbl","text":"","code":"util_gamma_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_gamma_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_gamma_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_gamma_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_gamma_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_gamma_stats_tbl","text":"","code":"library(dplyr)  tidy_gamma() |>   util_gamma_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_gamma\" #> $ function_call     <chr> \"Gamma c(1, 0.3)\" #> $ distribution      <chr> \"Gamma\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 2 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 1.060728 #> $ computed_std_kurt <dbl> 4.11779 #> $ ci_lo             <dbl> 0.008080977 #> $ ci_hi             <dbl> 0.6756027"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"function estimates shape1, shape2, shape3, rate parameters generalized Beta distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"","code":"util_generalized_beta_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":".x numeric vector containing data fitted generalized Beta distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"AIC value calculated based fitted generalized Beta distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"function calculates Akaike Information Criterion (AIC) generalized Beta distribution fitted provided data. function fits generalized Beta distribution provided data using maximum likelihood estimation. estimates shape1, shape2, shape3, rate parameters generalized Beta distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses reasonable initial estimates shape1, shape2, shape3, rate parameters generalized Beta distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_generalized_beta(100, .shape1 = 2, .shape2 = 3,                           .shape3 = 4, .rate = 5)[[\"y\"]] util_generalized_beta_aic(x) #> [1] -498.3238"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated generalized Beta data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"","code":"util_generalized_beta_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"function attempt estimate generalized Beta shape1, shape2, shape3, rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_generalized_beta(100, .shape1 = 2, .shape2 = 3, .shape3 = 4, .rate = 5)[[\"y\"]] output <- util_generalized_beta_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type        samp_size    min   max  mean shape1 shape2 shape3  rate #>   <chr>                <int>  <dbl> <dbl> <dbl>  <dbl>  <dbl>  <dbl> <dbl> #> 1 Generalized Beta       100 0.0851 0.191 0.157  0.977   7.94   8.89  4.73  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_generalized_beta_stats_tbl","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"","code":"util_generalized_beta_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"function take tibble return statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_generalized_beta() |>   util_generalized_beta_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_generalized_beta\" #> $ function_call     <chr> \"Generalized Beta c(1, 1, 1, 1, 1)\" #> $ distribution      <chr> \"Generalized Beta\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ mode              <chr> \"undefined\" #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -0.07917738 #> $ computed_std_kurt <dbl> 1.789811 #> $ ci_lo             <dbl> 0.03836872 #> $ ci_hi             <dbl> 0.9413363"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"function estimates shape1, shape2, rate parameters generalized Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"","code":"util_generalized_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":".x numeric vector containing data fitted generalized Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"AIC value calculated based fitted generalized Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) generalized Pareto distribution fitted provided data. function fits generalized Pareto distribution provided data using maximum likelihood estimation. estimates shape1, shape2, rate parameters generalized Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape1, shape2, rate parameters generalized Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- actuar::rgenpareto(100, shape1 = 1, shape2 = 2, scale = 3) util_generalized_pareto_aic(x) #> [1] 742.2865"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated generalized Pareto data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"","code":"util_generalized_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"function attempt estimate generalized Pareto shape1, shape2, rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_generalized_pareto(100, .shape1 = 1, .shape2 = 2, .scale = 3)[[\"y\"]] output <- util_generalized_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type          samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>                  <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Generalized Pareto       100 0.688  412.  21.5   1.08   5.47  1.01 0.993  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_generalized_pareto_stats_tbl","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"","code":"util_generalized_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"function take tibble return statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_generalized_pareto() |>   util_generalized_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_generalized_pareto\" #> $ function_call     <chr> \"Generalized Pareto c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Generalized Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> NaN #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 3.052568 #> $ computed_std_kurt <dbl> 11.78994 #> $ ci_lo             <dbl> 0.02512215 #> $ ci_hi             <dbl> 18.83536"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"function estimates probability parameter geometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"","code":"util_geometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":".x numeric vector containing data fitted geometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"AIC value calculated based fitted geometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"function calculates Akaike Information Criterion (AIC) geometric distribution fitted provided data. function fits geometric distribution provided data. estimates probability parameter geometric distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point probability parameter geometric distribution. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rgeom(100, prob = 0.2) util_geometric_aic(x) #> [1] 500.2433"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Geometric Parameters — util_geometric_param_estimate","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"function attempt estimate geometric prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated geometric data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"","code":"util_geometric_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter geometric distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tg <- tidy_geometric(.prob = .1) |> pull(y) output <- util_geometric_param_estimate(tg)  output$parameter_tbl #> # A tibble: 2 × 9 #>   dist_type samp_size   min   max  mean variance sum_x method         shape #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <chr>          <dbl> #> 1 Geometric        50     0    44  11.9     112.   595 EnvStats_MME  0.0775 #> 2 Geometric        50     0    44  11.9     112.   595 EnvStats_MVUE 0.0761  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_geometric_stats_tbl","title":"Distribution Statistics — util_geometric_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_geometric_stats_tbl","text":"","code":"util_geometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_geometric_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_geometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_geometric_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_geometric_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_geometric_stats_tbl","text":"","code":"library(dplyr)  tidy_geometric() |>   util_geometric_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_geometric\" #> $ function_call     <chr> \"Geometric c(1)\" #> $ distribution      <chr> \"Geometric\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode              <int> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0 #> $ coeff_var         <dbl> 0 #> $ skewness          <dbl> Inf #> $ kurtosis          <dbl> Inf #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"function estimates parameters m, n, k hypergeometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"","code":"util_hypergeometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":".x numeric vector containing data fitted hypergeometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"AIC value calculated based fitted hypergeometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"function calculates Akaike Information Criterion (AIC) hypergeometric distribution fitted provided data. function fits hypergeometric distribution provided data. estimates parameters m, n, k hypergeometric distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function estimate parameters; directly calculated data. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rhyper(100, m = 10, n = 10, k = 5) util_hypergeometric_aic(x) #> [1] 290.7657"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"function attempt estimate geometric prob parameter given vector values .x. Estimate m, number white balls urn, m+n, total number balls urn, hypergeometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"","code":"util_hypergeometric_param_estimate(   .x,   .m = NULL,   .total = NULL,   .k,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":".x non-negative integer indicating number white balls sample size .k drawn without replacement urn. missing, undefined infinite values. .m Non-negative integer indicating number white balls urn. must supply .m .total, . missing values. .total positive integer indicating total number balls urn (.e., m+n). must supply .m .total, . missing values. .k positive integer indicating number balls drawn without replacement urn. missing values. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"function see given vector .x numeric integer. attempt estimate prob parameter geometric distribution. Missing (NA), undefined (NaN), infinite (Inf, -Inf) values allowed. Let .x observation hypergeometric distribution parameters .m = M, .n = N, .k = K. R nomenclature, .x represents number white balls drawn sample .k balls drawn without replacement urn containing .m white balls .n black balls. total number balls urn thus .m + .n. Denote total number balls T = .m + .n","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  th <- rhyper(10, 20, 30, 5) output <- util_hypergeometric_param_estimate(th, .total = 50, .k = 5)  output$parameter_tbl #> # A tibble: 2 × 5 #>   dist_type      samp_size method            m total #>   <chr>              <int> <chr>         <dbl> <dbl> #> 1 Hypergeometric        10 EnvStats_MLE   20.4    NA #> 2 Hypergeometric        10 EnvStats_MVUE  20      50  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_hypergeometric_stats_tbl","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"","code":"util_hypergeometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"","code":"library(dplyr)  tidy_hypergeometric() |>   util_hypergeometric_stats_tbl() |>   glimpse() #> Warning: NaNs produced #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_hypergeometric\" #> $ function_call     <chr> \"Hypergeometric c(0, 0, 0)\" #> $ distribution      <chr> \"Hypergeometric\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> NaN #> $ mode_lower        <dbl> -0.5 #> $ mode_upper        <dbl> 0.5 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> NaN #> $ coeff_var         <dbl> NaN #> $ skewness          <dbl> NaN #> $ kurtosis          <dbl> NaN #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"function estimates shape1, shape2, rate parameters inverse Burr distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"","code":"util_inverse_burr_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":".x numeric vector containing data fitted inverse Burr distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"AIC value calculated based fitted inverse Burr distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Burr distribution fitted provided data. function fits inverse Burr distribution provided data using maximum likelihood estimation. estimates shape1, shape2, rate parameters inverse Burr distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape1, shape2, rate parameters inverse Burr distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_burr(100, .shape1 = 2, .shape2 = 3, .scale = 1)[[\"y\"]] util_inverse_burr_aic(x) #> [1] 206.2411"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"function attempt estimate inverse Burr shape1, shape2, rate parameters given vector values .x. function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Burr data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"","code":"util_inverse_burr_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"function see given vector .x numeric vector. attempt estimate shape1, shape2, rate parameters inverse Burr distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) tb <- tidy_burr(.shape1 = 1, .shape2 = 2, .rate = .3) |> pull(y) output <- util_inverse_burr_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type    samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>            <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Inverse Burr        50 0.253  21.0  4.38  0.692   2.32 0.245  4.08  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_burr_stats_tbl","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"","code":"util_inverse_burr_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_inverse_burr() |>   util_inverse_burr_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_inverse_burr\" #> $ function_call     <chr> \"Inverse Burr c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Inverse Burr\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> NaN #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 6.286574 #> $ computed_std_kurt <dbl> 42.69436 #> $ ci_lo             <dbl> 0.04476678 #> $ ci_hi             <dbl> 25.17203"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"function estimates shape scale parameters inverse Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"","code":"util_inverse_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":".x numeric vector containing data fitted inverse Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"AIC value calculated based fitted inverse Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Pareto distribution fitted provided data. function fits inverse Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters inverse Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters inverse Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_pareto(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] util_inverse_pareto_aic(x) #> [1] 555.1183"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Pareto data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"","code":"util_inverse_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"function attempt estimate inverse Pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_pareto(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_inverse_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type      samp_size    min   max method shape scale shape_ratio #>   <chr>              <int>  <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Inverse Pareto       100 0.0256  348. MLE     2.06 0.968        2.13  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_pareto_stats_tbl","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"","code":"util_inverse_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_inverse_pareto() |>   util_inverse_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_inverse_pareto\" #> $ function_call     <chr> \"Inverse Pareto c(1, 1)\" #> $ distribution      <chr> \"Inverse Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0.5 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> Inf #> $ coeff_var         <dbl> Inf #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 2.709726 #> $ computed_std_kurt <dbl> 9.148078 #> $ ci_lo             <dbl> 0.05721386 #> $ ci_hi             <dbl> 28.74933"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"function estimates shape scale parameters inverse Weibull distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"","code":"util_inverse_weibull_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":".x numeric vector containing data fitted inverse Weibull distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"AIC value calculated based fitted inverse Weibull distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Weibull distribution fitted provided data. function fits inverse Weibull distribution provided data using maximum likelihood estimation. estimates shape scale parameters inverse Weibull distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters inverse Weibull distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_weibull(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] util_inverse_weibull_aic(x) #> [1] 217.9124"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"","code":"util_inverse_weibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"function attempt estimate inverse Weibull shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_weibull(100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_inverse_weibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type       samp_size   min   max method shape scale  rate #>   <chr>               <int> <dbl> <dbl> <chr>  <dbl> <dbl> <dbl> #> 1 Inverse Weibull       100 0.372  14.7 MLE     2.11 0.967  1.03  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_weibull_stats_tbl","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"","code":"util_inverse_weibull_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_inverse_weibull() |>   util_inverse_weibull_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_inverse_weibull\" #> $ function_call     <chr> \"Inverse Weibull c(1, 1, 1)\" #> $ distribution      <chr> \"Inverse Weibull\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 7.425761 #> $ median            <dbl> 1.184009 #> $ mode              <dbl> 0.04786914 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 224.0202 #> $ coeff_var         <dbl> 30.16798 #> $ computed_std_skew <dbl> 3.186903 #> $ computed_std_kurt <dbl> 11.84056 #> $ ci_lo             <dbl> 0.274315 #> $ ci_hi             <dbl> 31.62556"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"","code":"util_invweibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"function attempt estimate inverse Weibull shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_weibull(100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_invweibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type       samp_size   min   max method shape scale  rate #>   <chr>               <int> <dbl> <dbl> <chr>  <dbl> <dbl> <dbl> #> 1 Inverse Weibull       100 0.372  14.7 MLE     2.11 0.967  1.03  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"function estimates location scale parameters logistic distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"","code":"util_logistic_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":".x numeric vector containing data fitted logistic distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"AIC value calculated based fitted logistic distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"function calculates Akaike Information Criterion (AIC) logistic distribution fitted provided data. function fits logistic distribution provided data using maximum likelihood estimation. estimates location scale parameters logistic distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points location scale parameters logistic distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rlogis(30) util_logistic_aic(x) #> [1] 125.0554"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Logistic Parameters — util_logistic_param_estimate","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated logistic data. Three different methods shape parameters supplied: MLE MME MMUE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"","code":"util_logistic_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"function attempt estimate logistic location scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_logistic_param_estimate(x)  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean basic_scale method        location scale #>   <chr>         <int> <dbl> <dbl> <dbl>       <dbl> <chr>            <dbl> <dbl> #> 1 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MME      20.1  3.27 #> 2 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MMUE     20.1  3.32 #> 3 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MLE      20.1 12.6  #> # ℹ 1 more variable: shape_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rlogis(50, 2.5, 1.4) util_logistic_param_estimate(t)$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean basic_scale method        location scale #>   <chr>         <int> <dbl> <dbl> <dbl>       <dbl> <chr>            <dbl> <dbl> #> 1 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MME      2.87  1.23 #> 2 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MMUE     2.87  1.24 #> 3 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MLE      2.87  1.63 #> # ℹ 1 more variable: shape_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_logistic_stats_tbl","title":"Distribution Statistics — util_logistic_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_logistic_stats_tbl","text":"","code":"util_logistic_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_logistic_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_logistic_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_logistic_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_logistic_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_logistic_stats_tbl","text":"","code":"library(dplyr)  tidy_logistic() |>   util_logistic_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_logistic\" #> $ function_call     <chr> \"Logistic c(0, 1)\" #> $ distribution      <chr> \"Logistic\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.813799 #> $ coeff_var         <dbl> 3.289868 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 1.2 #> $ computed_std_skew <dbl> 0.3777211 #> $ computed_std_kurt <dbl> 3.161995 #> $ ci_lo             <dbl> -2.861982 #> $ ci_hi             <dbl> 3.233624"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"function estimates meanlog sdlog parameters log-normal distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"","code":"util_lognormal_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":".x numeric vector containing data fitted log-normal distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"AIC value calculated based fitted log-normal distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"function calculates Akaike Information Criterion (AIC) log-normal distribution fitted provided data. function fits log-normal distribution provided data using maximum likelihood estimation. estimates meanlog sdlog parameters log-normal distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points meanlog sdlog parameters log-normal distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rlnorm(100, meanlog = 0, sdlog = 1) util_lognormal_aic(x) #> [1] 286.6196"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Lognormal Parameters — util_lognormal_param_estimate","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated lognormal data. Three different methods shape parameters supplied: mme, see EnvStats::elnorm() mle, see EnvStats::elnorm()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"","code":"util_lognormal_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"function attempt estimate lognormal meanlog log sd parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_lognormal_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method        mean_log sd_log shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>  <dbl>       <dbl> #> 1 Lognormal        32  10.4  33.9 EnvStats_MVUE     2.96  0.298        9.93 #> 2 Lognormal        32  10.4  33.9 EnvStats_MME      2.96  0.293       10.1   output$combined_data_tbl |>   tidy_combined_autoplot()   tb <- tidy_lognormal(.meanlog = 2, .sdlog = 1) |> pull(y) util_lognormal_param_estimate(tb)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method        mean_log sd_log shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>  <dbl>       <dbl> #> 1 Lognormal        50 0.948  189. EnvStats_MVUE     1.97   1.11        1.78 #> 2 Lognormal        50 0.948  189. EnvStats_MME      1.97   1.10        1.80"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_lognormal_stats_tbl","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"","code":"util_lognormal_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_lognormal_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"","code":"library(dplyr)  tidy_lognormal() |>   util_lognormal_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_lognormal\" #> $ function_call     <chr> \"Lognormal c(0, 1)\" #> $ distribution      <chr> \"Lognormal\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.648721 #> $ median            <dbl> 1 #> $ mode              <dbl> 0.3678794 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 2.161197 #> $ coeff_var         <dbl> 1.310832 #> $ skewness          <dbl> 6.184877 #> $ kurtosis          <dbl> 113.9364 #> $ computed_std_skew <dbl> 2.642107 #> $ computed_std_kurt <dbl> 10.86327 #> $ ci_lo             <dbl> 0.1948396 #> $ ci_hi             <dbl> 6.306592"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"function estimates parameters size (r) probability (prob) negative binomial distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"","code":"util_negative_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":".x numeric vector containing data fitted negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"AIC value calculated based fitted negative binomial distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) negative binomial distribution fitted provided data. function fits negative binomial distribution provided data. estimates parameters size (r) probability (prob) negative binomial distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point size (r) parameter negative binomial distribution, probability (prob) estimated based mean variance data. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) data <- rnbinom(n = 100, size = 5, mu = 10) util_negative_binomial_aic(data) #> [1] 600.7162"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. Three different methods shape parameters supplied: MLE/MME MMUE MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"","code":"util_negative_binomial_param_estimate(   .x,   .size = 1,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":".x vector data passed function. .size size parameter, default 1. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"function attempt estimate negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_negative_binomial_param_estimate(x, .size = 1)  output$parameter_tbl #> # A tibble: 3 × 9 #>   dist_type         samp_size   min   max  mean method   size   prob shape_ratio #>   <chr>                 <int> <dbl> <dbl> <dbl> <chr>   <dbl>  <dbl>       <dbl> #> 1 Negative Binomial        32    10    33  19.7 EnvSta…  32   0.0483       662   #> 2 Negative Binomial        32    10    33  19.7 EnvSta…  32   0.0469       682.  #> 3 Negative Binomial        32    10    33  19.7 MLE_Op…  26.9 0.577         46.5  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rnbinom(50, 1, .1) util_negative_binomial_param_estimate(t, .size = 1)$parameter_tbl #> # A tibble: 3 × 9 #>   dist_type         samp_size   min   max  mean method   size   prob shape_ratio #>   <chr>                 <int> <dbl> <dbl> <dbl> <chr>   <dbl>  <dbl>       <dbl> #> 1 Negative Binomial        50     0    48  9.36 EnvSt… 50     0.0965       518   #> 2 Negative Binomial        50     0    48  9.36 EnvSt… 50     0.0948       528.  #> 3 Negative Binomial        50     0    48  9.36 MLE_O…  0.901 0.0878        10.3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_negative_binomial_stats_tbl","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"","code":"util_negative_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_negative_binomial() |>   util_negative_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_negative_binomial\" #> $ function_call     <chr> \"Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 0.1234568 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 0.8953706 #> $ computed_std_kurt <dbl> 3.049842 #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 22.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"function estimates parameters normal distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"","code":"util_normal_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":".x numeric vector containing data fitted normal distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"AIC value calculated based fitted normal distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"function calculates Akaike Information Criterion (AIC) normal distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) data <- rnorm(30) util_normal_aic(data) #> [1] 86.97017"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated normal data. Three different methods shape parameters supplied: MLE/MME MVUE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"","code":"util_normal_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"function attempt estimate normal gaussian mean standard deviation parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_normal_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method              mu stan_dev shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>    <dbl>       <dbl> #> 1 Gaussian         32  10.4  33.9 EnvStats_MME_MLE  20.1     5.93        3.39 #> 2 Gaussian         32  10.4  33.9 EnvStats_MVUE     20.1     6.03        3.33  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rnorm(50, 0, 1) util_normal_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method                mu stan_dev shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>              <dbl>    <dbl>       <dbl> #> 1 Gaussian         50 -2.05  2.19 EnvStats_MME_MLE -0.0937    0.952     -0.0984 #> 2 Gaussian         50 -2.05  2.19 EnvStats_MVUE    -0.0937    0.962     -0.0974"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_normal_stats_tbl","title":"Distribution Statistics — util_normal_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_normal_stats_tbl","text":"","code":"util_normal_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_normal_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_normal_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_normal_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_normal_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_normal_stats_tbl","text":"","code":"library(dplyr)  tidy_normal() |>   util_normal_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_gaussian\" #> $ function_call     <chr> \"Gaussian c(0, 1)\" #> $ distribution      <chr> \"Gaussian\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ median            <dbl> -0.3889986 #> $ mode              <dbl> 0 #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> Inf #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 3 #> $ computed_std_skew <dbl> 0.7783038 #> $ computed_std_kurt <dbl> 2.707343 #> $ ci_lo             <dbl> -1.304932 #> $ ci_hi             <dbl> 1.987782"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"function estimates shape rate parameters paralogistic distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"","code":"util_paralogistic_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":".x numeric vector containing data fitted paralogistic distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"AIC value calculated based fitted paralogistic distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"function calculates Akaike Information Criterion (AIC) paralogistic distribution fitted provided data. function fits paralogistic distribution provided data using maximum likelihood estimation. estimates shape rate parameters paralogistic distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape rate parameters paralogistic distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_paralogistic(30, .shape = 2, .rate = 1)[[\"y\"]] util_paralogistic_aic(x) #> [1] 31.93101"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated paralogistic data. method parameter estimation : MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"","code":"util_paralogistic_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"function attempt estimate paralogistic shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_paralogistic_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type    samp_size   min   max  mean   var method shape   rate #>   <chr>            <int> <dbl> <dbl> <dbl> <dbl> <chr>  <dbl>  <dbl> #> 1 Paralogistic        32  10.4  33.9  20.1  36.3 MLE     4.14 0.0336 #> # ℹ 1 more variable: shape_rate_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- tidy_paralogistic(50, 2.5, 1.4)[[\"y\"]] util_paralogistic_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type    samp_size    min   max  mean    var method shape  rate #>   <chr>            <int>  <dbl> <dbl> <dbl>  <dbl> <chr>  <dbl> <dbl> #> 1 Paralogistic        50 0.0946 0.955 0.452 0.0442 MLE     2.76  1.48 #> # ℹ 1 more variable: shape_rate_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"","code":"util_paralogistic_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_paralogistic(.n = 50, .shape = 5, .rate = 6) |>   util_paralogistic_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_paralogistic\" #> $ function_call     <chr> \"Paralogistic c(5, 6, 0.167)\" #> $ distribution      <chr> \"Paralogistic\" #> $ distribution_type <chr> \"Continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.5 #> $ mode_lower        <dbl> 1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.936492 #> $ coeff_var         <dbl> 1.290994 #> $ skewness          <dbl> 6.97137 #> $ kurtosis          <dbl> 70.8 #> $ computed_std_skew <dbl> -0.1662826 #> $ computed_std_kurt <dbl> 2.556048 #> $ ci_lo             <dbl> 0.06320272 #> $ ci_hi             <dbl> 0.1623798"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"function estimates shape scale parameters Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"","code":"util_pareto1_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":".x numeric vector containing data fitted Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"AIC value calculated based fitted Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"function calculates Akaike Information Criterion (AIC) Pareto distribution fitted provided data. function fits Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_pareto1()$y util_pareto1_aic(x) #> [1] 185.0364"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Pareto Parameters — util_pareto1_param_estimate","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Pareto data. Two different methods shape parameters supplied: LSE MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"","code":"util_pareto1_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"function attempt estimate Pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars[[\"mpg\"]] output <- util_pareto1_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type samp_size   min   max method est_shape est_min #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> #> 1 Pareto           32  10.4  33.9 LSE         2.86    13.7 #> 2 Pareto           32  10.4  33.9 MLE         1.62    10.4  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- tidy_pareto1(.n = 100, .shape = 1.5, .min = 1)[[\"y\"]] util_pareto1_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type samp_size   min   max method est_shape est_min #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> #> 1 Pareto          100  1.00  137. LSE         1.36   0.936 #> 2 Pareto          100  1.00  137. MLE         1.52   1.00"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"","code":"util_pareto1_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"","code":"library(dplyr)  tidy_pareto1() |>   util_pareto1_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_pareto_single_parameter\" #> $ function_call     <chr> \"Single Param Pareto c(1, 1)\" #> $ distribution      <chr> \"Pareto1\" #> $ distribution_type <chr> \"Continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode_lower        <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> Inf #> $ coeff_var         <dbl> Inf #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 4.276114 #> $ computed_std_kurt <dbl> 20.46089 #> $ ci_lo             <dbl> 1.018218 #> $ ci_hi             <dbl> 88.8564"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"function estimates shape scale parameters Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"","code":"util_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":".x numeric vector containing data fitted Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"AIC value calculated based fitted Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) Pareto distribution fitted provided data. function fits Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- TidyDensity::tidy_pareto()$y util_pareto_aic(x) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> [1] -357.0277"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Pareto Parameters — util_pareto_param_estimate","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated pareto data. Two different methods shape parameters supplied: LSE MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"","code":"util_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"function attempt estimate pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method shape scale shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Pareto           32  10.4  33.9 LSE     13.7  2.86        4.79 #> 2 Pareto           32  10.4  33.9 MLE     10.4  1.62        6.40  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- tidy_pareto(50, 1, 1) |> pull(y) util_pareto_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size    min   max method  shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <chr>   <dbl> <dbl>       <dbl> #> 1 Pareto           50 0.0206  94.5 LSE    0.225  0.633      0.355  #> 2 Pareto           50 0.0206  94.5 MLE    0.0206 0.254      0.0812"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_pareto_stats_tbl","title":"Distribution Statistics — util_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_pareto_stats_tbl","text":"","code":"util_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_pareto_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_pareto() |>   util_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_pareto\" #> $ function_call     <chr> \"Pareto c(10, 0.1)\" #> $ distribution      <chr> \"Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0.1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0.0124226 #> $ coeff_var         <dbl> 0.000154321 #> $ skewness          <dbl> 2.811057 #> $ kurtosis          <dbl> 14.82857 #> $ computed_std_skew <dbl> 2.313421 #> $ computed_std_kurt <dbl> 9.375681 #> $ ci_lo             <dbl> 0.0003162781 #> $ ci_hi             <dbl> 0.04447684"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"function estimates lambda parameter Poisson distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"","code":"util_poisson_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":".x numeric vector containing data fitted Poisson distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"AIC value calculated based fitted Poisson distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"function calculates Akaike Information Criterion (AIC) Poisson distribution fitted provided data. function fits Poisson distribution provided data. estimates lambda parameter Poisson distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point lambda parameter Poisson distribution. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rpois(100, lambda = 2) util_poisson_aic(x) #> [1] 341.674"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Poisson Parameters — util_poisson_param_estimate","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated poisson data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"","code":"util_poisson_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"function attempt estimate pareto lambda parameter given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_poisson_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type samp_size   min   max method lambda #>   <chr>         <int> <dbl> <dbl> <chr>   <dbl> #> 1 Posson           32    10    33 MLE      19.7  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rpois(50, 5) util_poisson_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type samp_size   min   max method lambda #>   <chr>         <int> <dbl> <dbl> <chr>   <dbl> #> 1 Posson           50     2    10 MLE      5.34"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_poisson_stats_tbl","title":"Distribution Statistics — util_poisson_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_poisson_stats_tbl","text":"","code":"util_poisson_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_poisson_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_poisson_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_poisson_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_poisson_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_poisson_stats_tbl","text":"","code":"library(dplyr)  tidy_poisson() |>   util_poisson_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_poisson\" #> $ function_call     <chr> \"Poisson c(1)\" #> $ distribution      <chr> \"Poisson\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 1 #> $ kurtosis          <dbl> 4 #> $ computed_std_skew <dbl> 0.8697014 #> $ computed_std_kurt <dbl> 3.325356 #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 2.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"function estimates parameters (size prob) ZTNB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"","code":"util_rztnbinom_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTNB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"AIC value calculated based fitted ZTNB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated negative binomial (ZTNB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"Nelder-Mead\". might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTNB distribution include zero values. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTNB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"","code":"library(actuar) #>  #> Attaching package: 'actuar' #> The following objects are masked from 'package:stats': #>  #>     sd, var #> The following object is masked from 'package:grDevices': #>  #>     cm  # Example data set.seed(123) x <- rztnbinom(30, size = 2, prob = 0.4)  # Calculate AIC util_rztnbinom_aic(x) #> [1] 140.8286"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"function estimates parameters triangular distribution (min, max, mode) provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"","code":"util_triangular_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":".x numeric vector containing data fitted triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"AIC value calculated based fitted triangular distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"function calculates Akaike Information Criterion (AIC) triangular distribution fitted provided data. function operates several steps: Parameter Estimation: function extracts minimum, maximum, mode values data via TidyDensity::util_triangular_param_estimate function. returns initial parameters starting point optimization. Negative Log-Likelihood Calculation: custom function calculates negative log-likelihood using EnvStats::dtri function obtain density values data point. densities logged manually simulate behavior log parameter. Parameter Validation: optimization, function checks constraints min <= mode <= max met, returns infinite loss . Optimization: optimization process utilizes \"SANN\" (Simulated Annealing) method minimize negative log-likelihood find optimal parameter values. AIC Calculation: Akaike Information Criterion (AIC) calculated using optimized negative log-likelihood total number parameters (3).","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"","code":"# Example: Calculate AIC for a sample dataset set.seed(123) data <- tidy_triangular(.min = 0, .max = 1, .mode = 1/2)$y util_triangular_aic(data) #> [1] -14.39203"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Triangular Parameters — util_triangular_param_estimate","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"function attempt estimate triangular min, mode, max parameters given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated beta data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"","code":"util_triangular_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"function attempt estimate triangular min, mode, max parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_triangular_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type  samp_size   min   max  mode method #>   <chr>          <int> <dbl> <dbl> <dbl> <chr>  #> 1 Triangular        32  10.4  33.9  33.9 Basic   output$combined_data_tbl |>   tidy_combined_autoplot()   params <- tidy_triangular()$y |>   util_triangular_param_estimate() params$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type  samp_size    min   max  mode method #>   <chr>          <int>  <dbl> <dbl> <dbl> <chr>  #> 1 Triangular        50 0.0570 0.835 0.835 Basic"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_triangular_stats_tbl","title":"Distribution Statistics — util_triangular_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_triangular_stats_tbl","text":"","code":"util_triangular_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_triangular_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_triangular_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_triangular_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_triangular_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_triangular_stats_tbl","text":"","code":"library(dplyr)  tidy_triangular() |>   util_triangular_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 19 #> $ tidy_function     <chr> \"tidy_triangular\" #> $ function_call     <chr> \"Triangular c(0, 1, 0.5)\" #> $ distribution      <chr> \"Triangular\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ median            <dbl> 0.3535534 #> $ mode              <dbl> 1 #> $ range_low         <dbl> 0.1226216 #> $ range_high        <dbl> 0.8937389 #> $ variance          <dbl> 0.04166667 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> -0.6 #> $ entropy           <dbl> -0.6931472 #> $ computed_std_skew <dbl> 0.140758 #> $ computed_std_kurt <dbl> 2.149377 #> $ ci_lo             <dbl> 0.1410972 #> $ ci_hi             <dbl> 0.856655"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"function estimates parameters t distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"","code":"util_t_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":".x numeric vector containing data fitted t distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"AIC value calculated based fitted t distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"function calculates Akaike Information Criterion (AIC) t distribution fitted provided data. function fits t distribution input data using maximum likelihood estimation computes Akaike Information Criterion (AIC) based fitted distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"","code":"# Generate t-distributed data set.seed(123) x <- rt(100, df = 5, ncp = 0.5)  # Calculate AIC for the generated data util_t_aic(x) #> [1] 305.77"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate t Distribution Parameters — util_t_param_estimate","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"Estimate t Distribution Parameters","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"","code":"util_t_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":".x vector data passed function, data comes rt() function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"function attempt estimate t distribution parameters given vector values produced rt(). estimation method uses method moments maximum likelihood estimation.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- rt(100, df = 10, ncp = 0.5) output <- util_t_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type      samp_size  mean variance method df_est ncp_est #>   <chr>              <int> <dbl>    <dbl> <chr>   <dbl>   <dbl> #> 1 T Distribution       100 0.612    0.949 MME     0.959   0.612 #> 2 T Distribution       100 0.612    0.949 MLE     8.32    0.571  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_t_stats_tbl","title":"Distribution Statistics — util_t_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_t_stats_tbl","text":"","code":"util_t_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_t_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_t_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_t_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_t_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_t_stats_tbl","text":"","code":"library(dplyr)  tidy_t() |>   util_t_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_t\" #> $ function_call     <chr> \"T Distribution c(1, 0)\" #> $ distribution      <chr> \"t\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ median            <dbl> 0 #> $ mode              <dbl> 0 #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <dbl> 0 #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -1.486799 #> $ computed_std_kurt <dbl> 9.047857 #> $ ci_lo             <dbl> -12.75805 #> $ ci_hi             <dbl> 5.389358"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"function estimates min max parameters uniform distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"","code":"util_uniform_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":".x numeric vector containing data fitted uniform distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"AIC value calculated based fitted uniform distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"function calculates Akaike Information Criterion (AIC) uniform distribution fitted provided data. function fits uniform distribution provided data. estimates min max parameters uniform distribution range data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses minimum maximum values data starting points min max parameters uniform distribution. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- runif(30) util_uniform_aic(x) #> [1] 1.061835"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Uniform Parameters — util_uniform_param_estimate","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated uniform data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"","code":"util_uniform_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"function attempt estimate uniform min max parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_uniform(.min = 1, .max = 3)$y output <- util_uniform_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method   min_est max_est ratio #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> <dbl> #> 1 Uniform          50  1.00  2.93 NIST_MME   0.955    2.88 0.332 #> 2 Uniform          50  1.00  2.93 NIST_MLE   1        3    0.333  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_uniform_stats_tbl","title":"Distribution Statistics — util_uniform_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_uniform_stats_tbl","text":"","code":"util_uniform_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_uniform_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_uniform_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_uniform_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_uniform_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_uniform_stats_tbl","text":"","code":"library(dplyr)  tidy_uniform() |>   util_uniform_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_uniform\" #> $ function_call     <chr> \"Uniform c(0, 1)\" #> $ distribution      <chr> \"Uniform\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ median            <dbl> 0.5 #> $ std_dv            <dbl> 0.2886751 #> $ coeff_var         <dbl> 0.5773503 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 1.8 #> $ computed_std_skew <dbl> 0.04720379 #> $ computed_std_kurt <dbl> 2.005722 #> $ ci_lo             <dbl> 0.08443236 #> $ ci_hi             <dbl> 0.887634"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"function estimates shape scale parameters Weibull distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"","code":"util_weibull_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":".x numeric vector containing data fitted Weibull distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"AIC value calculated based fitted Weibull distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"function calculates Akaike Information Criterion (AIC) Weibull distribution fitted provided data. function fits Weibull distribution provided data using maximum likelihood estimation. estimates shape scale parameters Weibull distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Weibull distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rweibull(100, shape = 2, scale = 1) util_weibull_aic(x) #> [1] 119.1065"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Weibull Parameters — util_weibull_param_estimate","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"","code":"util_weibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"function attempt estimate weibull shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_weibull(.shape = 1, .scale = 2)$y output <- util_weibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size    min   max method shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Weibull          50 0.0622  6.09 NIST    1.13  1.83       0.621  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_weibull_stats_tbl","title":"Distribution Statistics — util_weibull_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_weibull_stats_tbl","text":"","code":"util_weibull_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_weibull_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_weibull_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_weibull_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_weibull_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_weibull_stats_tbl","text":"","code":"library(dplyr)  tidy_weibull() |>   util_weibull_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_weibull\" #> $ function_call     <chr> \"Weibull c(1, 1)\" #> $ distribution      <chr> \"Weibull\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.054851 #> $ median            <dbl> 0.7263866 #> $ mode              <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.015938 #> $ coeff_var         <dbl> 1.032131 #> $ computed_std_skew <dbl> 1.857905 #> $ computed_std_kurt <dbl> 6.190366 #> $ ci_lo             <dbl> 0.01805123 #> $ ci_hi             <dbl> 4.377121"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"Computes distribution statistics zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":".data data zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"tibble distribution statistics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"function computes statistics zero-truncated negative binomial distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_negative_binomial(.size = 1, .prob = 0.1) |>  util_zero_truncated_negative_binomial_stats_tbl() |>  glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_negative_binomial\" #> $ function_call     <chr> \"Zero Truncated Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 1.111111 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 0.9984757 #> $ computed_std_kurt <dbl> 3.866868 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 27.1"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"function estimates parameters (size prob) ZTB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"","code":"util_zero_truncated_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"AIC value calculated based fitted ZTB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated binomial (ZTB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"L-BFGS-B,\" allows box constraints keep parameters within valid bounds. might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTB distribution include zero values. Additionally, values .x less equal estimated size parameter. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"","code":"# Example data set.seed(123) x <- tidy_zero_truncated_binomial(30, .size = 10, .prob = 0.4)[[\"y\"]]  # Calculate AIC util_zero_truncated_binomial_aic(x) #> [1] 116.5688"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"","code":"util_zero_truncated_binomial_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"function attempt estimate zero truncated binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_zero_truncated_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type               samp_size   min   max  mean method     size  prob #>   <chr>                       <int> <dbl> <dbl> <dbl> <chr>     <dbl> <dbl> #> 1 Zero-Truncated Binomial        32    10    33  19.7 MLE_Optim    33 0.597  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- tidy_zero_truncated_binomial(100, 10, .1)[[\"y\"]] util_zero_truncated_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type               samp_size   min   max  mean method     size  prob #>   <chr>                       <int> <dbl> <dbl> <dbl> <chr>     <dbl> <dbl> #> 1 Zero-Truncated Binomial       100     1     4  1.53 MLE_Optim  4.00 0.500"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"Returns distribution statistics tibble Zero Truncated Binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"","code":"util_zero_truncated_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_zero_truncated_binomial(.size = 10, .prob = 0.1) |>   util_zero_truncated_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 15 #> $ tidy_function     <chr> \"tidy_zero_truncated_binomial\" #> $ function_call     <chr> \"Zero Truncated Binomial c(10, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.58 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to 4\" #> $ std_dv            <dbl> 0.8103917 #> $ coeff_var         <dbl> 0.5129061 #> $ computed_std_skew <dbl> 1.133051 #> $ computed_std_kurt <dbl> 3.212143 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"function estimates probability parameter Zero-Truncated Geometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"","code":"util_zero_truncated_geometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":".x numeric vector containing data fitted Zero-Truncated Geometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"AIC value calculated based fitted Zero-Truncated Geometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"function calculates Akaike Information Criterion (AIC) Zero-Truncated Geometric distribution fitted provided data. function fits Zero-Truncated Geometric distribution provided data. estimates probability parameter using method moments calculates AIC value. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"","code":"library(actuar) #>  #> Attaching package: 'actuar' #> The following objects are masked from 'package:stats': #>  #>     sd, var #> The following object is masked from 'package:grDevices': #>  #>     cm  # Example: Calculate AIC for a sample dataset set.seed(123) x <- rztgeom(100, prob = 0.2) util_zero_truncated_geometric_aic(x) #> [1] 492.3338"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"function estimate prob parameter Zero-Truncated Geometric distribution given vector .x. function returns list parameter table, .auto_gen_empirical set TRUE, empirical data combined estimated distribution data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"","code":"util_zero_truncated_geometric_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":".x vector data passed function. Must contain non-negative integers zeros. .auto_gen_empirical Boolean value (default TRUE) , set TRUE, generate tidy_empirical() output .x combine estimated distribution data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"function attempt estimate prob parameter Zero-Truncated Geometric distribution using given vector .x input data. parameter .auto_gen_empirical set TRUE, empirical data .x run tidy_empirical() function combined estimated zero-truncated geometric data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"","code":"library(actuar) library(dplyr) library(ggplot2) library(actuar)  set.seed(123) ztg <- rztgeom(100, prob = 0.2) output <- util_zero_truncated_geometric_param_estimate(ztg)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type              samp_size   min   max  mean variance sum_x method  prob #>   <chr>                      <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <chr>  <dbl> #> 1 Zero-Truncated Geomet…       100     1    16  4.78     13.5   478 Momen… 0.209  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"Returns distribution statistics Zero-Truncated Geometric distribution tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"","code":"util_zero_truncated_geometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":".data data passed tidy_ztgeom distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"function takes tibble generated tidy_ztgeom distribution function returns relevant statistics Zero-Truncated Geometric distribution. requires data passed tidy_ztgeom distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_zero_truncated_geometric(.prob = 0.1) |>   util_zero_truncated_geometric_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_geometric\" #> $ function_call     <chr> \"Zero Truncated Geometric c(0.1)\" #> $ distribution      <chr> \"Zero Truncated Geometric\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 10 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 9.486833 #> $ coeff_var         <dbl> 0.9486833 #> $ skewness          <dbl> 2.213594 #> $ kurtosis          <dbl> 5.788889 #> $ computed_std_skew <dbl> 1.101906 #> $ computed_std_kurt <dbl> 3.712366 #> $ ci_lo             <dbl> 1.225 #> $ ci_hi             <dbl> 30.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"function estimates parameters (size prob) ZTNB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"","code":"util_zero_truncated_negative_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTNB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"AIC value calculated based fitted ZTNB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated negative binomial (ZTNB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"Nelder-Mead\". might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTNB distribution include zero values. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTNB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"","code":"library(actuar)  # Example data set.seed(123) x <- rztnbinom(30, size = 2, prob = 0.4)  # Calculate AIC util_zero_truncated_negative_binomial_aic(x) #> [1] 140.8286"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"","code":"util_zero_truncated_negative_binomial_param_estimate(   .x,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"function attempt estimate zero truncated negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2) library(actuar)  x <- as.integer(mtcars$mpg) output <- util_zero_truncated_negative_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…        32    10    33  19.7 MLE_O…  26.9 0.577  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- rztnbinom(100, 10, .1) util_zero_truncated_negative_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…       100    22   183  89.6 MLE_O…  10.7 0.107"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"Computes distribution statistics zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"","code":"util_zero_truncated_negative_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":".data data zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"tibble distribution statistics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"function computes statistics zero-truncated negative binomial distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_negative_binomial(.size = 1, .prob = 0.1) |>  util_zero_truncated_negative_binomial_stats_tbl() |>  glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_negative_binomial\" #> $ function_call     <chr> \"Zero Truncated Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 1.111111 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 1.397478 #> $ computed_std_kurt <dbl> 4.148819 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 32.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"function estimates parameters zero-truncated poisson distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"","code":"util_zero_truncated_poisson_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":".x numeric vector containing data fitted zero-truncated poisson distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"AIC value calculated based fitted zero-truncated poisson distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated poisson distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"","code":"library(actuar)  # Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rztpois(30, lambda = 3) util_zero_truncated_poisson_aic(x) #> [1] 123.8552"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"function attempt estimate Zero Truncated Poisson lambda parameter given vector values .x. function return tibble output, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Zero Truncated Poisson data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"","code":"util_zero_truncated_poisson_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"function estimates parameter lambda Zero-Truncated Poisson distribution based vector non-negative integer values .x. Zero-Truncated Poisson distribution discrete probability distribution models number events occurring fixed interval time, given least one event occurred. estimation performed minimizing negative log-likelihood observed data .x Zero-Truncated Poisson model. negative log-likelihood function used optimization defined : $$-\\sum_{=1}^{n} \\log(P(X_i = x_i \\mid X_i > 0, \\lambda))$$ \\( X_i \\) observed values .x lambda parameter Zero-Truncated Poisson distribution. optimization process uses optim function find value lambda minimizes negative log-likelihood. chosen optimization method Brent's method (method = \"Brent\") within specified interval [0, max(.x)]. .auto_gen_empirical set TRUE, function generate empirical data statistics using tidy_empirical() input data .x combine empirical data estimated Zero-Truncated Poisson distribution using tidy_combine_distributions(). combined data can accessed via $combined_data_tbl element function output. function returns tibble containing estimated parameter lambda along summary statistics input data (sample size, minimum, maximum).","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tc <- tidy_zero_truncated_poisson() |> pull(y) output <- util_zero_truncated_poisson_param_estimate(tc)  output$parameter_tbl #> # A tibble: 1 × 5 #>   dist_type              samp_size   min   max lambda #>   <chr>                      <int> <dbl> <dbl>  <dbl> #> 1 Zero Truncated Poisson        50     1     4  0.997  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"","code":"util_zero_truncated_poisson_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_poisson() |>   util_zero_truncated_poisson_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_poisson\" #> $ function_call     <chr> \"Zero Truncated Poisson c(1)\" #> $ distribution      <chr> \"Zero Truncated Poisson\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 1 #> $ kurtosis          <dbl> 4 #> $ computed_std_skew <dbl> 1.19783 #> $ computed_std_kurt <dbl> 3.517986 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"","code":"util_ztn_binomial_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"function attempt estimate zero truncated negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2) library(actuar)  x <- as.integer(mtcars$mpg) output <- util_ztn_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…        32    10    33  19.7 MLE_O…  26.9 0.577  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- rztnbinom(100, 10, .1) util_ztn_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…       100    22   183  89.6 MLE_O…  10.7 0.107"},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-development-version","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity (development version)","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-development-version","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity (development version)","text":"Fix #468 - Add function util_negative_binomial_aic() calculate AIC negative binomial distribution. Fix #470 - Add function util_zero_truncated_negative_binomial_param_estimate() estimate parameters zero-truncated negative binomial distribution. Add function util_zero_truncated_negative_binomial_aic() calculate AIC zero-truncated negative binomial distribution. Add function util_zero_truncated_negative_binomial_stats_tbl() create summary table zero-truncated negative binomial distribution. Fix #471 - Add function util_zero_truncated_poisson_param_estimate() estimate parameters zero-truncated Poisson distribution. Add function util_zero_truncated_poisson_aic() calculate AIC zero-truncated Poisson distribution. Add function util_zero_truncated_poisson_stats_tbl() create summary table zero-truncated Poisson distribution. Fix #472 - Add function util_f_param_estimate() util_f_aic() estimate parameters calculate AIC F distribution. Fix #482 - Add function util_zero_truncated_geometric_param_estimate() estimate parameters zero-truncated geometric distribution. Add function util_zero_truncated_geometric_aic() calculate AIC zero-truncated geometric distribution. Add function util_zero_truncated_geometric_stats_tbl() create summary table zero-truncated geometric distribution. Fix #481 - Add function util_triangular_aic() calculate AIC triangular distribution. Fix #480 - Add function util_t_param_estimate() estimate parameters T distribution. Add function util_t_aic() calculate AIC T distribution. Fix #479 - Add function util_pareto1_param_estimate() estimate parameters Pareto Type distribution. Add function util_pareto1_aic() calculate AIC Pareto Type distribution. Add function util_pareto1_stats_tbl() create summary table Pareto Type distribution. Fix #478 - Add function util_paralogistic_param_estimate() estimate parameters paralogistic distribution. Add function util_paralogistic_aic() calculate AIC paralogistic distribution. Add fnction util_paralogistic_stats_tbl() create summary table paralogistic distribution. Fix #477 - Add function util_inverse_weibull_param_estimate() estimate parameters Inverse Weibull distribution. Add function util_inverse_weibull_aic() calculate AIC Inverse Weibull distribution. Add function util_inverse_weibull_stats_tbl() create summary table Inverse Weibull distribution. Fix #476 - Add function util_inverse_pareto_param_estimate() estimate parameters Inverse Pareto distribution. Add function util_inverse_pareto_aic() calculate AIC Inverse Pareto distribution. Add Function util_inverse_pareto_stats_tbl() create summary table Inverse Pareto distribution. Fix #475 - Add function util_inverse_burr_param_estimate() estimate parameters Inverse Gamma distribution. Add function util_inverse_burr_aic() calculate AIC Inverse Gamma distribution. Add function util_inverse_burr_stats_tbl() create summary table Inverse Gamma distribution. Fix #474 - Add function util_generalized_pareto_param_estimate() estimate parameters Generalized Pareto distribution. Add function util_generalized_pareto_aic() calculate AIC Generalized Pareto distribution. Add function util_generalized_pareto_stats_tbl() create summary table Generalized Pareto distribution. Fix #473 - Add function util_generalized_beta_param_estimate() estimate parameters Generalized Gamma distribution. Add function util_generalized_beta_aic() calculate AIC Generalized Gamma distribution. Add function util_generalized_beta_stats_tbl() create summary table Generalized Gamma distribution. Fix #469 - Add function util_zero_truncated_binomial_stats_tbl() create summary table Zero Truncated binomial distribution. Add function util_zero_truncated_binomial_param_estimate() estimate parameters Zero Truncated binomial distribution. Add function util_zero_truncated_binomial_aic() calculate AIC Zero Truncated binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-improvements-and-fixes-development-version","dir":"Changelog","previous_headings":"","what":"Minor Improvements and Fixes","title":"TidyDensity (development version)","text":"Fix #468 - Update util_negative_binomial_param_estimate() add use optim() parameter estimation. Fix #465 - Add names columns .return_tibble = TRUE quantile_normalize()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-140","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.4.0","title":"TidyDensity 1.4.0","text":"CRAN release: 2024-04-26","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-4-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.4.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-4-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.4.0","text":"Fix #405 - Add function quantile_normalize() normalize data using quantiles. Fix #409 - Add function check_duplicate_rows() check duplicate rows data frame. Fix #414 - Add function util_chisquare_param_estimate() estimate parameters chi-square distribution. Fix #417 - Add function tidy_mcmc_sampling() sample distribution using MCMC. outputs function sampled data diagnostic plot. Fix #421 - Add functions util_dist_aic() functions calculate AIC distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-4-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.4.0","text":"Fix #401 - Update tidy_multi_single_dist() respect .return_tibble parameter Fix #406 - Update tidy_multi_single_dist() exclude .return_tibble parameter returning distribution parameters. Fix #413 - Update documentation include mcmc applicable. Fix #240 - Update tidy_distribution_comparison() include new AIC calculations dedicated util_dist_aic() functions.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-130","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.3.0","title":"TidyDensity 1.3.0","text":"CRAN release: 2024-01-09","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-3-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.3.0","text":"Fix #350 - caused function tidy_multi_single_dist() modified now requires user pass parameter .return_tibbl either TRUE FALSE introduced tidy_ distribution functions now use data.table hood generate data. Fix #371 - Modify code use native |> pipe instead %>% caused need update minimum R version 4.1.0","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-3-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.3.0","text":"Fix #360 - Add function tidy_triangular() Fix #361 - Add function util_triangular_param_estimate() Fix #362 - Add function util_triangular_stats_tbl() Fix #364 - Add function triangle_plot() Fix #363 - Add triangular tidy_autoplot()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-3-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.3.0","text":"Fix #372 #373 - Update cvar() csd() vectorized approach @kokbent speeds 100x Fix #350 - Update tidy_ distribution functions generate data using data.table many instances resulted speed 30% . Fix #379 - Replace use dplyr::cur_data() deprecated dplyr favor using dplyr::pick() Fix #381 - Add tidy_triangular() autoplot functions. Fix #385 - tidy_multi_dist_autoplot() .plot_type = \"quantile\" work. Fix #383 - Update autoplot functions use linewidth instead size. Fix #375 - Update cskewness() take advantage vectorization speedup 124x faster. Fix #393 - Update ckurtosis() vectorization improve speed 121x per benchmark testing.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-126","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.6","title":"TidyDensity 1.2.6","text":"CRAN release: 2023-10-30","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-6","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.6","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-6","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.6","text":"Fix #351 - Add function convert_to_ts() convert tidy_ distribution time series either ts format tibble can also set wide long using .pivot_longer set TRUE .ret_ts set FALSE Fix #348 - Add function util_burr_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-6","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.6","text":"Fix #344 - Fix util_burr_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-125","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.5","title":"TidyDensity 1.2.5","text":"CRAN release: 2023-05-19","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-5","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.5","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-5","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.5","text":"Fix #333 - Add function util_burr_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-5","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.5","text":"Fix #335 - Update function tidy_distribution_comparison() add parameter .round_to_place allows user round parameter estimates passed corresponding distribution parameters. Fix #336 - Update logo name logo.png","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-124","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.4","title":"TidyDensity 1.2.4","text":"CRAN release: 2022-11-16","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-4","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.4","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-4","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.4","text":"Fix #302 - Add function tidy_bernoulli() Fix #304 - Add function util_bernoulli_param_estimate() Fix #305 - Add function util_bernoulli_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-4","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.4","text":"Fix #291 - Update tidy_stat_tbl() fix tibble output longer ignores passed arguments fix data.table directly pass … arguments. Fix #295 - Drop warning message passing arguments .use_data_table = TRUE Fix #303 - Add tidy_bernoulli() autoplot. Fix #299 - Update tidy_stat_tbl() Fix #309 - Add function internal use drop dependency stringr. Function dist_type_extractor() used several functions library. Fix #310 - Update combine-multi-dist use dist_type_extractor() Fix #311 - Update util_dist_stats_tbl() functions use dist_type_extractor() Fix #316 - Update autoplot functions tidy_bernoulli() Fix #312 - Update random walk function use dist_type_extractor() Fix #314 - Update tidy_stat_tbl() use dist_type_extractor() Fix #301 - Fix p q calculations.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-123","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.3","title":"TidyDensity 1.2.3","text":"CRAN release: 2022-10-04","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-3","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.3","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-3","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.3","text":"Fix #237 - Add function bootstrap_density_augment() Fix #238 - Add functions bootstrap_p_vec() bootstrap_p_augment() Fix #239 - Add functions bootstrap_q_vec() bootstrap_q_augment() Fix #256 #257 #258 #260 #265 #266 #267 #268 - Add functions cmean() chmean() cgmean() cmedian() csd() ckurtosis() cskewness() cvar() Fix #250 - Add function bootstrap_stat_plot() Fix #276 - Add function tidy_stat_tbl() Fix #281 adds parameter .user_data_table set FALSE default. set TRUE use [data.table::melt()] underlying work speeding output benchmark test regular tibble 72 seconds data.table. 15 seconds.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-3","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.3","text":"Fix #242 - Fix prop check tidy_bootstrap() Fix #247 - Add attributes bootstrap_density_augment() output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-122","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.2","title":"TidyDensity 1.2.2","text":"CRAN release: 2022-08-10","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-2","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.2","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-2","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.2","text":"Fix #229 - Add tidy_normal() list tested distributions. Add AIC linear model metric, add stats::ks.test() metric.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-2","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.2","text":"Fix #228 - Add ks.test distribution comparison. Fix #227 - Add AIC normal distribution comparison.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-121","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.1","title":"TidyDensity 1.2.1","text":"CRAN release: 2022-07-19","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvments-1-2-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvments","title":"TidyDensity 1.2.1","text":"Fix #210 - Fix param_grid order internal affected attributes thus display order parameters. Fix #211 - Add High Low CI tidy_distribution_summary_tbl() Fix #213 - Use purrr::compact() list distributions passed order prevent issue occurring #212 Fix #212 - Make tidy_distribution_comparison() robust terms handling bad erroneous data. Fix #216 - Add attribute “tibble_type” tidy_multi_single_dist() helps work functions like tidy_random_walk()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-120","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.0","title":"TidyDensity 1.2.0","text":"CRAN release: 2022-06-08","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.0","text":"Fix #181 - Add functions color_blind() td_scale_fill_colorblind() td_scale_color_colorblind() Fix #187 - Add functions ci_lo() ci_hi() Fix #189 - Add function tidy_bootstrap() Fix #190 - Add function bootstrap_unnest_tbl() Fix #202 - Add function tidy_distribution_comparison()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.0","text":"Fix #176 - Update _autoplot functions include cumulative mean MCMC chart taking advantage .num_sims parameter tidy_ distribution functions. Fix #184 - Update tidy_empirical() add parameter .distribution_type Fix #183 - tidy_empirical() now plotted _autoplot functions. Fix #188 - Add .num_sims parameter tidy_empirical() Fix #196 - Add ci_lo() ci_hi() stats tbl functions. Fix #201 - Correct attribute distribution_family_type discrete tidy_geometric()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-110","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.1.0","title":"TidyDensity 1.1.0","text":"CRAN release: 2022-05-06","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-1-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.1.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-1-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.1.0","text":"Fix #119 - Add function tidy_four_autoplot() - auto plot density, qq, quantile probability plots single graph. Fix #125 - Add function util_weibull_param_estimate() Fix #126 - Add function util_uniform_param_estimate() Fix #127 - Add function util_cauchy_param_estimate() Fix #130 - Add function tidy_t() - Also add plotting functions. Fix #151 - Add function tidy_mixture_density() Fix #150 - Add function util_geometric_stats_tbl() Fix #149 - Add function util_hypergeometric_stats_tbl() Fix #148 - Add function util_logistic_stats_tbl() Fix #147 - Add function util_lognormal_stats_tbl() Fix #146 - Add function util_negative_binomial_stats_tbl() Fix #145 - Add function util_normal_stats_tbl() Fix #144 - Add function util_pareto_stats_tbl() Fix #143 - Add function util_poisson_stats_tbl() Fix #142 - Add function util_uniform_stats_tbl() Fix #141 - Add function util_cauchy_stats_tbl() Fix #140 - Add function util_t_stats_tbl() Fix #139 - Add function util_f_stats_tbl() Fix #138 - Add function util_chisquare_stats_tbl() Fix #137 - Add function util_weibull_stats_tbl() Fix #136 - Add function util_gamma_stats_tbl() Fix #135 - Add function util_exponential_stats_tbl() Fix #134 - Add function util_binomial_stats_tbl() Fix #133 - Add function util_beta_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-1-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.1.0","text":"Fix #110 - Bug fix, correct p calculation tidy_poisson() now produce correct probability chart auto plot functions. Fix #112 - Bug fix, correct p calculation tidy_hypergeometric() produce correct probability chart auto plot functions. Fix #115 - Fix spelling Quantile chart. Fix #117 - Fix probability plot x axis label. Fix #118 - Fix fill color combined auto plot Fix #122 - tidy_distribution_summary_tbl() function take output tidy_multi_single_dist() Fix #166 - Change plotting functions ggplot2::xlim(0, max_dy) ggplot2::ylim(0, max_dy) Fix #169 - Fix computation q column Fix #170 - Fix graphing quantile chart due #169","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-101","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.0.1","title":"TidyDensity 1.0.1","text":"CRAN release: 2022-03-27","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-0-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.0.1","text":"Fix #91 - Bug fix, change tidy_gamma() parameter .rate .scale Fixtidy_autoplot_functions incorporate change. Fixutil_gamma_param_estimate()sayscaleinstead ofrate` returned estimated parameters.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-0-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.0.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-0-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.0.1","text":"Fix #90 - Make sure .geom_smooth set TRUE ggplot2::xlim(0, max_dy) set. Fix #100 - tidy_multi_single_dist() failed distribution single parameter like tidy_poisson() Fix #96 - Enhance tidy_ distribution functions add attribute either discrete continuous helps autoplot process. Fix #97 - Enhance tidy_autoplot() use histogram lines density plot depending distribution discrete continuous. Fix #99 - Enhance tidy_multi_dist_autoplot() use histogram lines density plot depending distribution discrete continuous.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-100","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.0.0","title":"TidyDensity 1.0.0","text":"CRAN release: 2022-03-08","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-0-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.0.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-0-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.0.0","text":"Fix #27 - Add function tidy_binomial() Fix #32 - Add function tidy_geometric() Fix #33 - Add function tidy_negative_binomial() Fix #34 - Add function tidy_zero_truncated_poisson() Fix #35 - Add function tidy_zero_truncated_geometric() Fix #36 - Add function tidy_zero_truncated_binomial() Fix #37 - Add function tidy_zero_truncated_negative_binomial() Fix #41 - Add function tidy_pareto1() Fix #42 - Add function tidy_pareto() Fix #43 - Add function tidy_inverse_pareto() Fix #58 - Add function tidy_random_walk() Fix #60 - Add function tidy_random_walk_autoplot() Fix #47 - Add function tidy_generalized_pareto() Fix #44 - Add function tidy_paralogistic() Fix #38 - Add function tidy_inverse_exponential() Fix #45 - Add function tidy_inverse_gamma() Fix #46 - Add function tidy_inverse_weibull() Fix #48 - Add function tidy_burr() Fix #49 - Add function tidy_inverse_burr() Fix #50 - Add function tidy_inverse_normal() Fix #51 - Add function tidy_generalized_beta() Fix #26 - Add function tidy_multi_single_dist() Fix #62 - Add function tidy_multi_dist_autoplot() Fix #66 - Add function tidy_combine_distributions() Fix #69 - Add functions tidy_kurtosis_vec(), tidy_skewness_vec(), tidy_range_statistic() Fix #75 - Add function util_beta_param_estimate() Fix #76 - Add function util_binomial_param_estimate() Fix #77 - Add function util_exponential_param_estimate() Fix #78 - Add function util_gamma_param_estimate() Fix #79 - Add function util_geometric_param_estimate() Fix #80 - Add function util_hypergeometric_param_estimate() Fix #81 - Add function util_lognormal_param_estimate() Fix #89 - Add function tidy_scale_zero_one_vec() Fix #87 - Add function tidy_combined_autoplot() Fix #82 - Add function util_logistic_param_estimate() Fix #83 - Add function util_negative_binomial_param_estimate() Fix #84 - Add function util_normal_param_estimate() Fix #85 - Add function util_pareto_param_estimate() Fix #86 - Add function util_poisson_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"fixes-and-minor-improvements-1-0-0","dir":"Changelog","previous_headings":"","what":"Fixes and Minor Improvements","title":"TidyDensity 1.0.0","text":"Fix #30 - Move crayon, rstudioapi, cli Suggests Imports due pillar longer importing. Fix #52 - Add parameter .geom_rug tidy_autoplot() function Fix #54 - Add parameter .geom_point tidy_autoplot() function Fix #53 - Add parameter .geom_smooth tidy_autoplot() function Fix #55 - Add parameter .geom_jitter tidy_autoplot() function Fix #57 - Fix tidy_autoplot() distribution tidy_empirical() legend argument fail. Fix #56 - Add attributes .n .num_sims (1L now) tidy_empirical() Fix #61 - Update _pkgdown.yml file update site. Fix #67 - Add param_grid, param_grid_txt, dist_with_params attributes tidy_ distribution functions. Fix #70 - Add ... grouping parameter tidy_distribution_summary_tbl() Fix #88 - Make column dist_type factor tidy_combine_distributions()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-001","dir":"Changelog","previous_headings":"","what":"TidyDensity 0.0.1","title":"TidyDensity 0.0.1","text":"CRAN release: 2022-01-21","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-0-0-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 0.0.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-0-0-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 0.0.1","text":"Fix #1 - Add function tidy_normal() Fix #4 - Add function tidy_gamma() Fix #5 - Add function tidy_beta() Fix #6 - Add function tidy_poisson() Fix #2 - Add function tidy_autoplot() Fix #11 - Add function tidy_distribution_summary_tbl() Fix #10 - Add function tidy_empirical() Fix #13 - Add function tidy_uniform() Fix #14 - Add function tidy_exponential() Fix #15 - Add function tidy_logistic() Fix #16 - Add function tidy_lognormal() Fix #17 - Add function tidy_weibull() Fix #18 - Add function tidy_chisquare() Fix #19 - Add function tidy_cauchy() Fix #20 - Add function tidy_hypergeometric() Fix #21 - Add function tidy_f()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-0-0-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 0.0.1","text":"None","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 0.0.0.9000","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 0.0.0.9000","text":"Added NEWS.md file track changes package.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"fixes-and-minor-improvements-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"Fixes and Minor Improvements","title":"TidyDensity 0.0.0.9000","text":"None","code":""}]
+[{"path":"https://www.spsanderson.com/TidyDensity/articles/getting-started.html","id":"example","dir":"Articles","previous_headings":"","what":"Example","title":"Getting Started with TidyDensity","text":"basic example shows easy generate data TidyDensity: example plot tidy_normal data.     can also take look plots number simulations greater nine. automatically turn legend become noisy.","code":"library(TidyDensity) library(dplyr) library(ggplot2)  tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x        y    dx       dy       p        q #>    <fct>      <int>    <dbl> <dbl>    <dbl>   <dbl>    <dbl> #>  1 1              1 -1.40    -3.47 0.000263 0.0808  -1.40    #>  2 1              2  0.255   -3.32 0.000879 0.601    0.255   #>  3 1              3 -2.44    -3.17 0.00246  0.00740 -2.44    #>  4 1              4 -0.00557 -3.02 0.00581  0.498   -0.00557 #>  5 1              5  0.622   -2.88 0.0118   0.733    0.622   #>  6 1              6  1.15    -2.73 0.0209   0.875    1.15    #>  7 1              7 -1.82    -2.58 0.0338   0.0342  -1.82    #>  8 1              8 -0.247   -2.43 0.0513   0.402   -0.247   #>  9 1              9 -0.244   -2.28 0.0742   0.404   -0.244   #> 10 1             10 -0.283   -2.14 0.102    0.389   -0.283   #> # ℹ 40 more rows tn <- tidy_normal(.n = 100, .num_sims = 6)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\") tn <- tidy_normal(.n = 100, .num_sims = 20)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/authors.html","id":null,"dir":"","previous_headings":"","what":"Authors","title":"Authors and Citation","text":"Steven Sanderson. Author, maintainer, copyright holder.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/authors.html","id":"citation","dir":"","previous_headings":"","what":"Citation","title":"Authors and Citation","text":"Sanderson S (2024). TidyDensity: Functions Tidy Analysis Generation Random Data. R package version 1.5.0.9000, https://github.com/spsanderson/TidyDensity.","code":"@Manual{,   title = {TidyDensity: Functions for Tidy Analysis and Generation of Random Data},   author = {Steven Sanderson},   year = {2024},   note = {R package version 1.5.0.9000},   url = {https://github.com/spsanderson/TidyDensity}, }"},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"our-pledge","dir":"","previous_headings":"","what":"Our Pledge","title":"Contributor Covenant Code of Conduct","text":"members, contributors, leaders pledge make participation community harassment-free experience everyone, regardless age, body size, visible invisible disability, ethnicity, sex characteristics, gender identity expression, level experience, education, socio-economic status, nationality, personal appearance, race, religion, sexual identity orientation. pledge act interact ways contribute open, welcoming, diverse, inclusive, healthy community.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"our-standards","dir":"","previous_headings":"","what":"Our Standards","title":"Contributor Covenant Code of Conduct","text":"Examples behavior contributes positive environment community include: Demonstrating empathy kindness toward people respectful differing opinions, viewpoints, experiences Giving gracefully accepting constructive feedback Accepting responsibility apologizing affected mistakes, learning experience Focusing best just us individuals, overall community Examples unacceptable behavior include: use sexualized language imagery, sexual attention advances kind Trolling, insulting derogatory comments, personal political attacks Public private harassment Publishing others’ private information, physical email address, without explicit permission conduct reasonably considered inappropriate professional setting","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement-responsibilities","dir":"","previous_headings":"","what":"Enforcement Responsibilities","title":"Contributor Covenant Code of Conduct","text":"Community leaders responsible clarifying enforcing standards acceptable behavior take appropriate fair corrective action response behavior deem inappropriate, threatening, offensive, harmful. Community leaders right responsibility remove, edit, reject comments, commits, code, wiki edits, issues, contributions aligned Code Conduct, communicate reasons moderation decisions appropriate.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"scope","dir":"","previous_headings":"","what":"Scope","title":"Contributor Covenant Code of Conduct","text":"Code Conduct applies within community spaces, also applies individual officially representing community public spaces. Examples representing community include using official e-mail address, posting via official social media account, acting appointed representative online offline event.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement","dir":"","previous_headings":"","what":"Enforcement","title":"Contributor Covenant Code of Conduct","text":"Instances abusive, harassing, otherwise unacceptable behavior may reported community leaders responsible enforcement spsanderson@gmail.com. complaints reviewed investigated promptly fairly. community leaders obligated respect privacy security reporter incident.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"enforcement-guidelines","dir":"","previous_headings":"","what":"Enforcement Guidelines","title":"Contributor Covenant Code of Conduct","text":"Community leaders follow Community Impact Guidelines determining consequences action deem violation Code Conduct:","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_1-correction","dir":"","previous_headings":"Enforcement Guidelines","what":"1. Correction","title":"Contributor Covenant Code of Conduct","text":"Community Impact: Use inappropriate language behavior deemed unprofessional unwelcome community. Consequence: private, written warning community leaders, providing clarity around nature violation explanation behavior inappropriate. public apology may requested.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_2-warning","dir":"","previous_headings":"Enforcement Guidelines","what":"2. Warning","title":"Contributor Covenant Code of Conduct","text":"Community Impact: violation single incident series actions. Consequence: warning consequences continued behavior. interaction people involved, including unsolicited interaction enforcing Code Conduct, specified period time. includes avoiding interactions community spaces well external channels like social media. Violating terms may lead temporary permanent ban.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_3-temporary-ban","dir":"","previous_headings":"Enforcement Guidelines","what":"3. Temporary Ban","title":"Contributor Covenant Code of Conduct","text":"Community Impact: serious violation community standards, including sustained inappropriate behavior. Consequence: temporary ban sort interaction public communication community specified period time. public private interaction people involved, including unsolicited interaction enforcing Code Conduct, allowed period. Violating terms may lead permanent ban.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"id_4-permanent-ban","dir":"","previous_headings":"Enforcement Guidelines","what":"4. Permanent Ban","title":"Contributor Covenant Code of Conduct","text":"Community Impact: Demonstrating pattern violation community standards, including sustained inappropriate behavior, harassment individual, aggression toward disparagement classes individuals. Consequence: permanent ban sort public interaction within community.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/CODE_OF_CONDUCT.html","id":"attribution","dir":"","previous_headings":"","what":"Attribution","title":"Contributor Covenant Code of Conduct","text":"Code Conduct adapted Contributor Covenant, version 2.0, available https://www.contributor-covenant.org/version/2/0/code_of_conduct.html. Community Impact Guidelines inspired Mozilla’s code conduct enforcement ladder. answers common questions code conduct, see FAQ https://www.contributor-covenant.org/faq. Translations available https://www.contributor-covenant.org/translations.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"tidydensity-","dir":"","previous_headings":"","what":"Functions for Tidy Analysis and Generation of Random Data","title":"Functions for Tidy Analysis and Generation of Random Data","text":"goal TidyDensity make working random numbers different distributions easy. tidy_ distribution functions provide following components: [r_] [d_] [q_] [p_]","code":""},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"installation","dir":"","previous_headings":"","what":"Installation","title":"Functions for Tidy Analysis and Generation of Random Data","text":"can install released version TidyDensity CRAN : development version GitHub :","code":"install.packages(\"TidyDensity\") # install.packages(\"devtools\") devtools::install_github(\"spsanderson/TidyDensity\")"},{"path":"https://www.spsanderson.com/TidyDensity/index.html","id":"example","dir":"","previous_headings":"","what":"Example","title":"Functions for Tidy Analysis and Generation of Random Data","text":"basic example shows solve common problem: example plot tidy_normal data.     can also take look plots number simulations greater nine. automatically turn legend become noisy.","code":"library(TidyDensity) library(dplyr) library(ggplot2)  tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x       y    dx       dy     p       q #>    <fct>      <int>   <dbl> <dbl>    <dbl> <dbl>   <dbl> #>  1 1              1  0.991  -3.18 0.000487 0.839  0.991  #>  2 1              2 -0.163  -3.05 0.00163  0.435 -0.163  #>  3 1              3  2.19   -2.92 0.00454  0.986  2.19   #>  4 1              4 -0.226  -2.78 0.0106   0.411 -0.226  #>  5 1              5 -1.07   -2.65 0.0208   0.141 -1.07   #>  6 1              6 -0.708  -2.52 0.0345   0.239 -0.708  #>  7 1              7  0.343  -2.39 0.0488   0.634  0.343  #>  8 1              8  0.264  -2.26 0.0600   0.604  0.264  #>  9 1              9 -0.0531 -2.13 0.0667   0.479 -0.0531 #> 10 1             10  0.444  -2.00 0.0705   0.671  0.444  #> # ℹ 40 more rows tn <- tidy_normal(.n = 100, .num_sims = 6)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\") tn <- tidy_normal(.n = 100, .num_sims = 20)  tidy_autoplot(tn, .plot_type = \"density\") tidy_autoplot(tn, .plot_type = \"quantile\") tidy_autoplot(tn, .plot_type = \"probability\") tidy_autoplot(tn, .plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/LICENSE.html","id":null,"dir":"","previous_headings":"","what":"MIT License","title":"MIT License","text":"Copyright (c) 2022 Steven Paul Sandeson II, MPH Permission hereby granted, free charge, person obtaining copy software associated documentation files (“Software”), deal Software without restriction, including without limitation rights use, copy, modify, merge, publish, distribute, sublicense, /sell copies Software, permit persons Software furnished , subject following conditions: copyright notice permission notice shall included copies substantial portions Software. SOFTWARE PROVIDED “”, WITHOUT WARRANTY KIND, EXPRESS IMPLIED, INCLUDING LIMITED WARRANTIES MERCHANTABILITY, FITNESS PARTICULAR PURPOSE NONINFRINGEMENT. EVENT SHALL AUTHORS COPYRIGHT HOLDERS LIABLE CLAIM, DAMAGES LIABILITY, WHETHER ACTION CONTRACT, TORT OTHERWISE, ARISING , CONNECTION SOFTWARE USE DEALINGS SOFTWARE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Density Tibble — bootstrap_density_augment","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"Add density information output tidy_bootstrap(), bootstrap_unnest_tbl().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"","code":"bootstrap_density_augment(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":".data data passed tidy_bootstrap() bootstrap_unnest_tbl() functions.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"function takes input output tidy_bootstrap() bootstrap_unnest_tbl() returns augmented tibble following columns added : x, y, dx, dy. looks attribute comes using tidy_bootstrap() bootstrap_unnest_tbl() work unless data comes one functions.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_density_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Density Tibble — bootstrap_density_augment","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_density_augment() #> # A tibble: 50,000 × 5 #>    sim_number     x     y    dx       dy #>    <fct>      <int> <dbl> <dbl>    <dbl> #>  1 1              1  17.3  6.48 0.000412 #>  2 1              2  15.2  7.33 0.00231  #>  3 1              3  16.4  8.17 0.00856  #>  4 1              4  15    9.01 0.0209   #>  5 1              5  18.7  9.86 0.0340   #>  6 1              6  18.1 10.7  0.0376   #>  7 1              7  10.4 11.5  0.0316   #>  8 1              8  10.4 12.4  0.0286   #>  9 1              9  15   13.2  0.0391   #> 10 1             10  21.4 14.1  0.0607   #> # ℹ 49,990 more rows  tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_density_augment() #> # A tibble: 50,000 × 5 #>    sim_number     x     y    dx       dy #>    <fct>      <int> <dbl> <dbl>    <dbl> #>  1 1              1  14.7  6.80 0.000150 #>  2 1              2  21.5  8.08 0.00206  #>  3 1              3  19.2  9.36 0.00914  #>  4 1              4  26   10.6  0.0131   #>  5 1              5  22.8 11.9  0.00739  #>  6 1              6  15   13.2  0.0114   #>  7 1              7  19.2 14.5  0.0272   #>  8 1              8  21   15.8  0.0365   #>  9 1              9  21   17.0  0.0609   #> 10 1             10  17.3 18.3  0.0977   #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Augment Bootstrap P — bootstrap_p_augment","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Takes numeric vector return ecdf probability.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Augment Bootstrap P — bootstrap_p_augment","text":"","code":"bootstrap_p_augment(.data, .value, .names = \"auto\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Augment Bootstrap P — bootstrap_p_augment","text":".data data passed augmented function. .value passed rlang::enquo() capture vectors want augment. .names default \"auto\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Augment Bootstrap P — bootstrap_p_augment","text":"augmented tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Takes numeric vector return ecdf probability vector. function intended used order add columns tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Augment Bootstrap P — bootstrap_p_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Augment Bootstrap P — bootstrap_p_augment","text":"","code":"x <- mtcars$mpg tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_p_augment(y) #> # A tibble: 50,000 × 3 #>    sim_number     y      p #>    <fct>      <dbl>  <dbl> #>  1 1           21.4 0.687  #>  2 1           21.5 0.716  #>  3 1           18.7 0.467  #>  4 1           30.4 0.936  #>  5 1           13.3 0.0944 #>  6 1           21.5 0.716  #>  7 1           19.2 0.529  #>  8 1           19.2 0.529  #>  9 1           21.4 0.687  #> 10 1           21.4 0.687  #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Bootstrap P of a Vector — bootstrap_p_vec","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"function takes vector input return ecdf probability vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"","code":"bootstrap_p_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":".x numeric","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"function return ecdf probability vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_p_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Bootstrap P of a Vector — bootstrap_p_vec","text":"","code":"x <- mtcars$mpg bootstrap_p_vec(x) #>  [1] 0.62500 0.62500 0.78125 0.68750 0.46875 0.43750 0.12500 0.81250 0.78125 #> [10] 0.53125 0.40625 0.34375 0.37500 0.25000 0.06250 0.06250 0.15625 0.96875 #> [19] 0.93750 1.00000 0.71875 0.28125 0.25000 0.09375 0.53125 0.87500 0.84375 #> [28] 0.93750 0.31250 0.56250 0.18750 0.68750"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":null,"dir":"Reference","previous_headings":"","what":"Augment Bootstrap Q — bootstrap_q_augment","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Takes numeric vector return quantile.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"","code":"bootstrap_q_augment(.data, .value, .names = \"auto\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Augment Bootstrap Q — bootstrap_q_augment","text":".data data passed augmented function. .value passed rlang::enquo() capture vectors want augment. .names default \"auto\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"augmented tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Takes numeric vector return quantile vector. function intended used order add columns tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_augment.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Augment Bootstrap Q — bootstrap_q_augment","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_unnest_tbl() |>   bootstrap_q_augment(y) #> # A tibble: 50,000 × 3 #>    sim_number     y     q #>    <fct>      <dbl> <dbl> #>  1 1           21    10.4 #>  2 1           10.4  10.4 #>  3 1           21.4  10.4 #>  4 1           30.4  10.4 #>  5 1           30.4  10.4 #>  6 1           15.2  10.4 #>  7 1           21.5  10.4 #>  8 1           33.9  10.4 #>  9 1           18.1  10.4 #> 10 1           21    10.4 #> # ℹ 49,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"function takes vector input return quantile vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"","code":"bootstrap_q_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":".x numeric","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"function return quantile vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_q_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Bootstrap Q of a Vector — bootstrap_q_vec","text":"","code":"x <- mtcars$mpg  bootstrap_q_vec(x) #>  [1] 10.4 10.4 13.3 14.3 14.7 15.0 15.2 15.2 15.5 15.8 16.4 17.3 17.8 18.1 18.7 #> [16] 19.2 19.2 19.7 21.0 21.0 21.4 21.4 21.5 22.8 22.8 24.4 26.0 27.3 30.4 30.4 #> [31] 32.4 33.9"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Stat Plot — bootstrap_stat_plot","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"function produces plot cumulative statistic function applied bootstrap variable tidy_bootstrap() bootstrap_unnest_tbl() applied .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"","code":"bootstrap_stat_plot(   .data,   .value,   .stat = \"cmean\",   .show_groups = FALSE,   .show_ci_labels = TRUE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":".data data comes either tidy_bootstrap() bootstrap_unnest_tbl() applied . .value value column calculations applied . .stat cumulative statistic function applied .value column. must quoted. default \"cmean\". .show_groups default FALSE, set TRUE get output simulations bootstrap data. .show_ci_labels default TRUE, show last value upper lower quantile. .interactive default FALSE, set TRUE get plotly plot object back.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"plot either ggplot2 plotly.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"function take data either tidy_bootstrap() directly apply bootstrap_unnest_tbl() output. several different cumulative functions can applied data.accepted values : \"cmean\" - Cumulative Mean \"chmean\" - Cumulative Harmonic Mean \"cgmean\" - Cumulative Geometric Mean \"csum\" = Cumulative Sum \"cmedian\" = Cumulative Median \"cmax\" = Cumulative Max \"cmin\" = Cumulative Min \"cprod\" = Cumulative Product \"csd\" = Cumulative Standard Deviation \"cvar\" = Cumulative Variance \"cskewness\" = Cumulative Skewness \"ckurtosis\" = Cumulative Kurtotsis","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_stat_plot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Stat Plot — bootstrap_stat_plot","text":"","code":"x <- mtcars$mpg  tidy_bootstrap(x) |>   bootstrap_stat_plot(y, \"cmean\")   tidy_bootstrap(x, .num_sims = 10) |>   bootstrap_stat_plot(y,     .stat = \"chmean\", .show_groups = TRUE,     .show_ci_label = FALSE   ) #> Warning: Setting '.num_sims' to less than 2000 means that results can be potentially #> unstable. Consider setting to 2000 or more."},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"Unnest data output tidy_bootstrap().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"","code":"bootstrap_unnest_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":".data data passed tidy_bootstrap() function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"function takes input output tidy_bootstrap() function returns two column tibble. columns sim_number y looks attribute comes using tidy_bootstrap() work unless data comes function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/bootstrap_unnest_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Unnest Tidy Bootstrap Tibble — bootstrap_unnest_tbl","text":"","code":"tb <- tidy_bootstrap(.x = mtcars$mpg) bootstrap_unnest_tbl(tb) #> # A tibble: 50,000 × 2 #>    sim_number     y #>    <fct>      <dbl> #>  1 1           21.4 #>  2 1           21   #>  3 1           26   #>  4 1           19.7 #>  5 1           10.4 #>  6 1           15.5 #>  7 1           32.4 #>  8 1           22.8 #>  9 1           26   #> 10 1           17.3 #> # ℹ 49,990 more rows  bootstrap_unnest_tbl(tb) |>   tidy_distribution_summary_tbl(sim_number) #> # A tibble: 2,000 × 13 #>    sim_number mean_val median_val std_val min_val max_val skewness kurtosis #>    <fct>         <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> #>  1 1              18.3       18.7    5.85    10.4    32.4  0.410       2.75 #>  2 2              19.2       18.1    4.73    10.4    30.4  0.909       3.75 #>  3 3              21.7       19.2    6.68    10.4    33.9  0.689       2.40 #>  4 4              20.3       19.2    5.72    10.4    32.4  0.567       2.46 #>  5 5              20.8       21.4    6.93    10.4    33.9  0.431       2.22 #>  6 6              23.1       21.4    6.97    10.4    33.9  0.00625     1.68 #>  7 7              23.1       21.4    5.94    10.4    33.9  0.119       2.74 #>  8 8              19.5       21      5.84    10.4    33.9  0.349       2.83 #>  9 9              20.1       18.1    6.71    10.4    33.9  0.887       2.75 #> 10 10             19.6       19.2    5.04    10.4    33.9  0.732       3.84 #> # ℹ 1,990 more rows #> # ℹ 5 more variables: range <dbl>, iqr <dbl>, variance <dbl>, ci_low <dbl>, #> #   ci_high <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Geometric Mean — cgmean","title":"Cumulative Geometric Mean — cgmean","text":"function return cumulative geometric mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Geometric Mean — cgmean","text":"","code":"cgmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Geometric Mean — cgmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Geometric Mean — cgmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Geometric Mean — cgmean","text":"function return cumulative geometric mean vector. exp(cummean(log(.x)))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Geometric Mean — cgmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cgmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Geometric Mean — cgmean","text":"","code":"x <- mtcars$mpg  cgmean(x) #>  [1] 21.00000 21.00000 21.58363 21.53757 20.93755 20.43547 19.41935 19.98155 #>  [9] 20.27666 20.16633 19.93880 19.61678 19.42805 19.09044 18.33287 17.69470 #> [17] 17.50275 18.11190 18.61236 19.17879 19.28342 19.09293 18.90457 18.62961 #> [25] 18.65210 18.92738 19.15126 19.46993 19.33021 19.34242 19.18443 19.25006"},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":null,"dir":"Reference","previous_headings":"","what":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"function checks duplicate rows data frame.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"","code":"check_duplicate_rows(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":".data data frame.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"logical vector indicating whether row duplicate .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"function checks duplicate rows comparing row data frame every row. row identical another row, considered duplicate.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/check_duplicate_rows.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Check for Duplicate Rows in a Data Frame — check_duplicate_rows","text":"","code":"data <- data.frame(   x = c(1, 2, 3, 1),   y = c(2, 3, 4, 2),   z = c(3, 2, 5, 3) )  check_duplicate_rows(data) #> [1] FALSE  TRUE FALSE FALSE"},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Harmonic Mean — chmean","title":"Cumulative Harmonic Mean — chmean","text":"function return cumulative harmonic mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Harmonic Mean — chmean","text":"","code":"chmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Harmonic Mean — chmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Harmonic Mean — chmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Harmonic Mean — chmean","text":"function return cumulative harmonic mean vector. 1 / (cumsum(1 / .x))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Harmonic Mean — chmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/chmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Harmonic Mean — chmean","text":"","code":"x <- mtcars$mpg  chmean(x) #>  [1] 21.0000000 10.5000000  7.1891892  5.3813575  4.1788087  3.3949947 #>  [7]  2.7436247  2.4663044  2.2255626  1.9943841  1.7934398  1.6166494 #> [13]  1.4784877  1.3474251  1.1928760  1.0701322  0.9975150  0.9677213 #> [19]  0.9378663  0.9126181  0.8754572  0.8286539  0.7858140  0.7419753 #> [25]  0.7143688  0.6961523  0.6779989  0.6632076  0.6364908  0.6165699 #> [31]  0.5922267  0.5762786"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":null,"dir":"Reference","previous_headings":"","what":"Confidence Interval Generic — ci_hi","title":"Confidence Interval Generic — ci_hi","text":"Gets upper 97.5% quantile numeric vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Confidence Interval Generic — ci_hi","text":"","code":"ci_hi(.x, .na_rm = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Confidence Interval Generic — ci_hi","text":".x vector numeric values .na_rm Boolean, defaults FALSE. Passed quantile function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Confidence Interval Generic — ci_hi","text":"numeric value.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Confidence Interval Generic — ci_hi","text":"Gets upper 97.5% quantile numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Confidence Interval Generic — ci_hi","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_hi.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Confidence Interval Generic — ci_hi","text":"","code":"x <- mtcars$mpg ci_hi(x) #> [1] 32.7375"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":null,"dir":"Reference","previous_headings":"","what":"Confidence Interval Generic — ci_lo","title":"Confidence Interval Generic — ci_lo","text":"Gets lower 2.5% quantile numeric vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Confidence Interval Generic — ci_lo","text":"","code":"ci_lo(.x, .na_rm = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Confidence Interval Generic — ci_lo","text":".x vector numeric values .na_rm Boolean, defaults FALSE. Passed quantile function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Confidence Interval Generic — ci_lo","text":"numeric value.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Confidence Interval Generic — ci_lo","text":"Gets lower 2.5% quantile numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Confidence Interval Generic — ci_lo","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ci_lo.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Confidence Interval Generic — ci_lo","text":"","code":"x <- mtcars$mpg ci_lo(x) #> [1] 10.4"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Kurtosis — ckurtosis","title":"Cumulative Kurtosis — ckurtosis","text":"function return cumulative kurtosis vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Kurtosis — ckurtosis","text":"","code":"ckurtosis(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Kurtosis — ckurtosis","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Kurtosis — ckurtosis","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Kurtosis — ckurtosis","text":"function return cumulative kurtosis vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Kurtosis — ckurtosis","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/ckurtosis.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Kurtosis — ckurtosis","text":"","code":"x <- mtcars$mpg  ckurtosis(x) #>  [1]      NaN      NaN 1.500000 2.189216 2.518932 1.786006 2.744467 2.724675 #>  [9] 2.930885 2.988093 2.690270 2.269038 2.176622 1.992044 2.839430 2.481896 #> [17] 2.356826 3.877115 3.174702 2.896931 3.000743 3.091225 3.182071 3.212816 #> [25] 3.352916 3.015952 2.837139 2.535185 2.595908 2.691103 2.738468 2.799467"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Mean — cmean","title":"Cumulative Mean — cmean","text":"function return cumulative mean vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Mean — cmean","text":"","code":"cmean(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Mean — cmean","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Mean — cmean","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Mean — cmean","text":"function return cumulative mean vector. uses dplyr::cummean() basis function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Mean — cmean","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmean.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Mean — cmean","text":"","code":"x <- mtcars$mpg  cmean(x) #>  [1] 21.00000 21.00000 21.60000 21.55000 20.98000 20.50000 19.61429 20.21250 #>  [9] 20.50000 20.37000 20.13636 19.82500 19.63077 19.31429 18.72000 18.20000 #> [17] 17.99412 18.79444 19.40526 20.13000 20.19524 19.98182 19.77391 19.50417 #> [25] 19.49200 19.79231 20.02222 20.39286 20.23448 20.21667 20.04839 20.09062"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Median — cmedian","title":"Cumulative Median — cmedian","text":"function return cumulative median vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Median — cmedian","text":"","code":"cmedian(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Median — cmedian","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Median — cmedian","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Median — cmedian","text":"function return cumulative median vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Median — cmedian","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cmedian.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Median — cmedian","text":"","code":"x <- mtcars$mpg  cmedian(x) #>  [1] 21.00 21.00 21.00 21.20 21.00 21.00 21.00 21.00 21.00 21.00 21.00 20.10 #> [13] 19.20 18.95 18.70 18.40 18.10 18.40 18.70 18.95 19.20 18.95 18.70 18.40 #> [25] 18.70 18.95 19.20 19.20 19.20 19.20 19.20 19.20"},{"path":"https://www.spsanderson.com/TidyDensity/reference/color_blind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — color_blind","title":"Provide Colorblind Compliant Colors — color_blind","text":"8 Hex RGB color definitions suitable charts colorblind people.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/color_blind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — color_blind","text":"","code":"color_blind()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":null,"dir":"Reference","previous_headings":"","what":"Convert Data to Time Series Format — convert_to_ts","title":"Convert Data to Time Series Format — convert_to_ts","text":"function converts data data frame tibble time series format. designed work data generated tidy_ distribution functions. function can return time series data, pivot long format, .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Convert Data to Time Series Format — convert_to_ts","text":"","code":"convert_to_ts(.data, .return_ts = TRUE, .pivot_longer = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Convert Data to Time Series Format — convert_to_ts","text":".data data frame tibble converted time series format. .return_ts logical value indicating whether return time series data. Default TRUE. .pivot_longer logical value indicating whether pivot data long format. Default FALSE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Convert Data to Time Series Format — convert_to_ts","text":"function returns processed data based chosen options: ret_ts set TRUE, returns time series data. pivot_longer set TRUE, returns data long format. options set FALSE, returns data tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Convert Data to Time Series Format — convert_to_ts","text":"function takes data frame tibble input processes based specified options. performs following actions: Checks input data frame tibble; otherwise, raises error. Checks data comes tidy_ distribution function; otherwise, raises error. Converts data time series format, grouping \"sim_number\" transforming \"y\" column time series. Returns result based chosen options: ret_ts set TRUE, returns time series data. pivot_longer set TRUE, pivots data long format. options set FALSE, returns data tibble.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Convert Data to Time Series Format — convert_to_ts","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/convert_to_ts.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Convert Data to Time Series Format — convert_to_ts","text":"","code":"# Example 1: Convert data to time series format without returning time series data x <- tidy_normal() result <- convert_to_ts(x, FALSE) head(result) #> # A tibble: 6 × 1 #>        y #>    <dbl> #> 1  1.99  #> 2  0.416 #> 3 -0.362 #> 4 -0.282 #> 5  0.404 #> 6 -0.694  # Example 2: Convert data to time series format and pivot it into long format x <- tidy_normal() result <- convert_to_ts(x, FALSE, TRUE) head(result) #> # A tibble: 6 × 1 #>        y #>    <dbl> #> 1 -0.912 #> 2 -0.732 #> 3 -0.582 #> 4  0.204 #> 5 -0.661 #> 6 -2.18   # Example 3: Convert data to time series format and return the time series data x <- tidy_normal() result <- convert_to_ts(x) head(result) #>               y #> [1,] -0.1348973 #> [2,]  0.6769697 #> [3,] -0.5048327 #> [4,] -0.8381438 #> [5,] -2.9578102 #> [6,]  1.1051425"},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Standard Deviation — csd","title":"Cumulative Standard Deviation — csd","text":"function return cumulative standard deviation vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Standard Deviation — csd","text":"","code":"csd(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Standard Deviation — csd","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Standard Deviation — csd","text":"numeric vector. Note: first entry always NaN.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Standard Deviation — csd","text":"function return cumulative standard deviation vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Standard Deviation — csd","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/csd.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Standard Deviation — csd","text":"","code":"x <- mtcars$mpg  csd(x) #>  [1]       NaN 0.0000000 1.0392305 0.8544004 1.4737707 1.7663522 2.8445436 #>  [8] 3.1302385 3.0524580 2.9070986 2.8647069 2.9366416 2.8975233 3.0252418 #> [15] 3.7142967 4.1476098 4.1046423 5.2332053 5.7405452 6.4594362 6.3029736 #> [22] 6.2319940 6.1698105 6.1772007 6.0474457 6.1199296 6.1188444 6.3166405 #> [29] 6.2611772 6.1530527 6.1217574 6.0269481"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Skewness — cskewness","title":"Cumulative Skewness — cskewness","text":"function return cumulative skewness vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Skewness — cskewness","text":"","code":"cskewness(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Skewness — cskewness","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Skewness — cskewness","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Skewness — cskewness","text":"function return cumulative skewness vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Skewness — cskewness","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cskewness.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Skewness — cskewness","text":"","code":"x <- mtcars$mpg  cskewness(x) #>  [1]          NaN          NaN  0.707106781  0.997869718 -0.502052297 #>  [6] -0.258803244 -0.867969171 -0.628239920 -0.808101715 -0.695348960 #> [11] -0.469220594 -0.256323338 -0.091505282  0.002188142 -0.519593266 #> [16] -0.512660692 -0.379598706  0.614549281  0.581410573  0.649357202 #> [21]  0.631855977  0.706212631  0.775750182  0.821447605  0.844413861 #> [26]  0.716010069  0.614326432  0.525141032  0.582528820  0.601075783 #> [31]  0.652552397  0.640439864"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":null,"dir":"Reference","previous_headings":"","what":"Cumulative Variance — cvar","title":"Cumulative Variance — cvar","text":"function return cumulative variance vector.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Cumulative Variance — cvar","text":"","code":"cvar(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Cumulative Variance — cvar","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Cumulative Variance — cvar","text":"numeric vector. Note: first entry always NaN.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Cumulative Variance — cvar","text":"function return cumulative variance vector. exp(cummean(log(.x)))","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Cumulative Variance — cvar","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/cvar.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Cumulative Variance — cvar","text":"","code":"x <- mtcars$mpg  cvar(x) #>  [1]       NaN  0.000000  1.080000  0.730000  2.172000  3.120000  8.091429 #>  [8]  9.798393  9.317500  8.451222  8.206545  8.623864  8.395641  9.152088 #> [15] 13.796000 17.202667 16.848088 27.386438 32.953860 41.724316 39.727476 #> [22] 38.837749 38.066561 38.157808 36.571600 37.453538 37.440256 39.899947 #> [29] 39.202340 37.860057 37.475914 36.324103"},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":null,"dir":"Reference","previous_headings":"","what":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"Get distribution name title case tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"","code":"dist_type_extractor(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":".x attribute list passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"character string","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"extract distribution type tidy_ distribution function output using attributes object. must pass attribute directly function. meant really used internally. passing using manually $tibble_type attribute.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"Steven P. Sanderson II,","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/dist_type_extractor.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Extract Distribution Type from Tidy Distribution Object — dist_type_extractor","text":"","code":"tn <- tidy_normal() atb <- attributes(tn) dist_type_extractor(atb$tibble_type) #> [1] \"Gaussian\""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":null,"dir":"Reference","previous_headings":"","what":"Pipe operator — %>%","title":"Pipe operator — %>%","text":"See magrittr::%>% details.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Pipe operator — %>%","text":"","code":"lhs %>% rhs"},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Pipe operator — %>%","text":"lhs value magrittr placeholder. rhs function call using magrittr semantics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/pipe.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Pipe operator — %>%","text":"result calling rhs(lhs).","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":null,"dir":"Reference","previous_headings":"","what":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"function perform quantile normalization two distributions equal length. Quantile normalization technique used make distribution values across different samples similar. ensures distributions values sample quantiles. function takes numeric matrix input returns quantile-normalized matrix.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"","code":"quantile_normalize(.data, .return_tibble = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":".data numeric matrix column represents sample. .return_tibble logical value determines output tibble. Default 'FALSE'.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"list object following: numeric matrix quantile normalized. row means quantile normalized matrix. sorted data ranked indices","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"function performs quantile normalization numeric matrix following steps: Sort column input matrix. Calculate mean row across sorted columns. Replace column's sorted values row means. Unsort columns original order.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/quantile_normalize.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Perform quantile normalization on a numeric matrix/data.frame — quantile_normalize","text":"","code":"# Create a sample numeric matrix data <- matrix(rnorm(20), ncol = 4)  # Perform quantile normalization normalized_data <- quantile_normalize(data) #> Warning: There are duplicated ranks the input data. normalized_data #> $normalized_data #>            [,1]       [,2]       [,3]       [,4] #> [1,] -0.3544741 -1.1887651  0.1402623  0.1402623 #> [2,] -1.1887651  0.1402623 -0.3544741 -0.3544741 #> [3,]  0.1402623 -0.3544741  0.6082141 -1.1887651 #> [4,]  1.5541985  1.5541985 -1.1887651  0.6082141 #> [5,]  0.6082141  0.6082141  1.5541985  1.5541985 #>  #> $row_means #> [1] -1.1887651 -0.3544741  0.1402623  0.6082141  1.5541985 #>  #> $duplicated_ranks #>      [,1] [,2] [,3] [,4] #> [1,]    5    2    1    2 #> [2,]    4    1    5    4 #> [3,]    2    3    3    1 #> [4,]    3    4    4    5 #>  #> $duplicated_rank_row_indices #> [1] 1 3 4 5 #>  #> $duplicated_rank_data #>              [,1]       [,2]       [,3]       [,4] #> [1,] -0.006202427 -0.1106733 -1.2344467  0.8044256 #> [2,]  2.531894845  0.1679075  0.7490085 -0.7630899 #> [3,]  0.212224663  0.6147875  1.2798579 -0.0333282 #> [4,] -2.150115206 -0.1142912  0.4928258  1.7902539 #>   as.data.frame(normalized_data$normalized_data) |>   sapply(function(x) quantile(x, probs = seq(0, 1, 1 / 4))) #>              V1         V2         V3         V4 #> 0%   -1.1887651 -1.1887651 -1.1887651 -1.1887651 #> 25%  -0.3544741 -0.3544741 -0.3544741 -0.3544741 #> 50%   0.1402623  0.1402623  0.1402623  0.1402623 #> 75%   0.6082141  0.6082141  0.6082141  0.6082141 #> 100%  1.5541985  1.5541985  1.5541985  1.5541985  quantile_normalize( data.frame(rnorm(30),            rnorm(30)),            .return_tibble = TRUE) #> Warning: There are duplicated ranks the input data. #> $normalized_data #> # A tibble: 30 × 2 #>    rnorm.30. rnorm.30..1 #>        <dbl>       <dbl> #>  1    -0.341      1.51   #>  2    -0.744      0.983  #>  3     0.109      0.645  #>  4     0.346     -0.150  #>  5     1.26      -0.316  #>  6    -0.551     -0.874  #>  7     0.346     -1.60   #>  8     0.719     -0.0315 #>  9    -1.81      -0.670  #> 10    -1.37      -0.403  #> # ℹ 20 more rows #>  #> $row_means #> # A tibble: 30 × 1 #>     value #>     <dbl> #>  1 -1.81  #>  2 -1.60  #>  3 -1.37  #>  4 -1.18  #>  5 -1.01  #>  6 -0.874 #>  7 -0.744 #>  8 -0.670 #>  9 -0.551 #> 10 -0.403 #> # ℹ 20 more rows #>  #> $duplicated_ranks #> # A tibble: 2 × 1 #>   value #>   <int> #> 1     8 #> 2     8 #>  #> $duplicated_rank_row_indices #> # A tibble: 1 × 1 #>   row_index #>       <int> #> 1        23 #>  #> $duplicated_rank_data #> # A tibble: 2 × 1 #>    value #>    <dbl> #> 1  0.727 #> 2 -0.566 #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"Provide Colorblind Compliant Colors","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"","code":"td_scale_color_colorblind(..., theme = \"td\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_color_colorblind.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Provide Colorblind Compliant Colors — td_scale_color_colorblind","text":"... Data passed function theme defaults td allowed value","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":null,"dir":"Reference","previous_headings":"","what":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"Provide Colorblind Compliant Colors","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"","code":"td_scale_fill_colorblind(..., theme = \"td\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/td_scale_fill_colorblind.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Provide Colorblind Compliant Colors — td_scale_fill_colorblind","text":"... Data passed function theme defaults td allowed value","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidyeval.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy eval helpers — tidyeval","title":"Tidy eval helpers — tidyeval","text":"page lists tidy eval tools reexported package rlang. learn using tidy eval scripts packages high level, see dplyr programming vignette ggplot2 packages vignette. Metaprogramming section Advanced R may also useful deeper dive. tidy eval operators {{, !!, !!! syntactic constructs specially interpreted tidy eval functions. mostly need {{, !! !!! advanced operators use simple cases. curly-curly operator {{ allows tunnel data-variables passed function arguments inside tidy eval functions. {{ designed individual arguments. pass multiple arguments contained dots, use ... normal way.   enquo() enquos() delay execution one several function arguments. former returns single expression, latter returns list expressions. defused, expressions longer evaluate . must injected back evaluation context !! (single expression) !!! (list expressions).   simple case, code equivalent usage {{ ... . Defusing enquo() enquos() needed complex cases, instance need inspect modify expressions way. .data pronoun object represents current slice data. variable name string, use .data pronoun subset variable [[.   Another tidy eval operator :=. makes possible use glue curly-curly syntax LHS =. technical reasons, R language support complex expressions left =, use := workaround.   Many tidy eval functions like dplyr::mutate() dplyr::summarise() give automatic name unnamed inputs. need create sort automatic names , use as_label(). instance, glue-tunnelling syntax can reproduced manually :   Expressions defused enquo() (tunnelled {{) need simple column names, can arbitrarily complex. as_label() handles cases gracefully. code assumes simple column name, use as_name() instead. safer throws error input name expected.","code":"my_function <- function(data, var, ...) {    data %>%      group_by(...) %>%      summarise(mean = mean({{ var }}))  } my_function <- function(data, var, ...) {    # Defuse    var <- enquo(var)    dots <- enquos(...)      # Inject    data %>%      group_by(!!!dots) %>%      summarise(mean = mean(!!var))  } my_var <- \"disp\"  mtcars %>% summarise(mean = mean(.data[[my_var]])) my_function <- function(data, var, suffix = \"foo\") {    # Use `{{` to tunnel function arguments and the usual glue    # operator `{` to interpolate plain strings.    data %>%      summarise(\"{{ var }}_mean_{suffix}\" := mean({{ var }}))  } my_function <- function(data, var, suffix = \"foo\") {    var <- enquo(var)    prefix <- as_label(var)    data %>%      summarise(\"{prefix}_mean_{suffix}\" := mean(!!var))  }"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Density Data — tidy_autoplot","title":"Automatic Plot of Density Data — tidy_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Density Data — tidy_autoplot","text":"","code":"tidy_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Density Data — tidy_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Density Data — tidy_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Density Data — tidy_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Density Data — tidy_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Density Data — tidy_autoplot","text":"","code":"tidy_normal(.num_sims = 5) |>   tidy_autoplot()   tidy_normal(.num_sims = 20) |>   tidy_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"function generate n random points Bernoulli distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"","code":"tidy_bernoulli(.n = 50, .prob = 0.1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":".n number randomly generated points want. .prob probability success/failure. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"function uses rbinom(), underlying p, d, q functions. Bernoulli distribution special case Binomial distribution size = 1 hence binom functions used set size = 1.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bernoulli.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Bernoulli Distribution Tibble — tidy_bernoulli","text":"","code":"tidy_bernoulli() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -0.405  0.0292   0.9     0 #>  2 1              2     0 -0.368  0.0637   0.9     0 #>  3 1              3     0 -0.331  0.129    0.9     0 #>  4 1              4     1 -0.294  0.243    1       1 #>  5 1              5     0 -0.258  0.424    0.9     0 #>  6 1              6     0 -0.221  0.688    0.9     0 #>  7 1              7     0 -0.184  1.03     0.9     0 #>  8 1              8     1 -0.147  1.44     1       1 #>  9 1              9     0 -0.110  1.87     0.9     0 #> 10 1             10     0 -0.0727 2.25     0.9     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"function generate n random points beta distribution user provided, .shape1, .shape2, .ncp non-centrality parameter, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"","code":"tidy_beta(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .ncp = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":".n number randomly generated points want. .shape1 non-negative parameter Beta distribution. .shape2 non-negative parameter Beta distribution. .ncp non-centrality parameter Beta distribution. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"function uses underlying stats::rbeta(), underlying p, d, q functions. information please see stats::rbeta()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_beta.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Beta Distribution Tibble — tidy_beta","text":"","code":"tidy_beta() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.359 -0.353  0.00273 0.359 0.359 #>  2 1              2 0.988 -0.318  0.00644 0.988 0.988 #>  3 1              3 0.295 -0.283  0.0141  0.295 0.295 #>  4 1              4 0.724 -0.248  0.0284  0.724 0.724 #>  5 1              5 0.729 -0.213  0.0532  0.729 0.729 #>  6 1              6 0.301 -0.178  0.0925  0.301 0.301 #>  7 1              7 0.423 -0.143  0.149   0.423 0.423 #>  8 1              8 1.00  -0.107  0.224   1.00  1.00  #>  9 1              9 0.816 -0.0724 0.315   0.816 0.816 #> 10 1             10 0.784 -0.0373 0.416   0.784 0.784 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"function generate n random points binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"","code":"tidy_binomial(   .n = 50,   .size = 0,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"function uses underlying stats::rbinom(), underlying p, d, q functions. information please see stats::rbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_binomial","text":"","code":"tidy_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":null,"dir":"Reference","previous_headings":"","what":"Bootstrap Empirical Data — tidy_bootstrap","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"Takes input vector numeric data produces bootstrapped nested tibble simulation number.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"","code":"tidy_bootstrap(   .x,   .num_sims = 2000,   .proportion = 0.8,   .distribution_type = \"continuous\" )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Bootstrap Empirical Data — tidy_bootstrap","text":".x vector data passed function. Must numeric vector. .num_sims default 2000, can set anything desired. warning pass console value less 2000. .proportion much original data want pass sampling function. default 0.80 (80%) .distribution_type can either 'continuous' 'discrete'","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"nested tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"function take numeric input vector produce tibble bootstrapped values list. table output two columns: sim_number bootstrap_samples sim_number corresponds many times want data resampled, bootstrap_samples column contains list boostrapped resampled data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_bootstrap.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Bootstrap Empirical Data — tidy_bootstrap","text":"","code":"x <- mtcars$mpg tidy_bootstrap(x) #> # A tibble: 2,000 × 2 #>    sim_number bootstrap_samples #>    <fct>      <list>            #>  1 1          <dbl [25]>        #>  2 2          <dbl [25]>        #>  3 3          <dbl [25]>        #>  4 4          <dbl [25]>        #>  5 5          <dbl [25]>        #>  6 6          <dbl [25]>        #>  7 7          <dbl [25]>        #>  8 8          <dbl [25]>        #>  9 9          <dbl [25]>        #> 10 10         <dbl [25]>        #> # ℹ 1,990 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"function generate n random points Burr distribution user provided, .shape1, .shape2, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"","code":"tidy_burr(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":".n number randomly generated points want. .shape1 Must strictly positive. .shape2 Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"function uses underlying actuar::rburr(), underlying p, d, q functions. information please see actuar::rburr()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_burr.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Burr Distribution Tibble — tidy_burr","text":"","code":"tidy_burr() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy     p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1  0.371 -2.84  0.000966 0.271  0.371 #>  2 1              2  5.25  -1.03  0.0666   0.840  5.25  #>  3 1              3  7.27   0.790 0.237    0.879  7.27  #>  4 1              4  1.72   2.61  0.104    0.633  1.72  #>  5 1              5  0.857  4.42  0.0287   0.461  0.857 #>  6 1              6  0.294  6.24  0.0255   0.227  0.294 #>  7 1              7 12.5    8.05  0.0260   0.926 12.5   #>  8 1              8  9.76   9.87  0.0171   0.907  9.76  #>  9 1              9  0.874 11.7   0.0122   0.466  0.874 #> 10 1             10  1.76  13.5   0.0105   0.638  1.76  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"function generate n random points cauchy distribution user provided, .location, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"","code":"tidy_cauchy(   .n = 50,   .location = 0,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":".n number randomly generated points want. .location location parameter. .scale scale parameter, must greater equal 0. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"function uses underlying stats::rcauchy(), underlying p, d, q functions. information please see stats::rcauchy()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_cauchy.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Cauchy Distribution Tibble — tidy_cauchy","text":"","code":"tidy_cauchy() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -1.14   -107.  2.50e- 4 0.229  -1.14   #>  2 1              2 -2.15   -103.  2.91e- 5 0.138  -2.15   #>  3 1              3 -3.73    -98.9 0        0.0833 -3.73   #>  4 1              4  2.25    -94.9 6.56e-20 0.867   2.25   #>  5 1              5  0.0564  -91.0 1.51e-18 0.518   0.0564 #>  6 1              6  0.686   -87.1 4.19e-18 0.691   0.686  #>  7 1              7 -0.325   -83.2 0        0.400  -0.325  #>  8 1              8 -0.456   -79.3 6.52e-19 0.364  -0.456  #>  9 1              9  3.66    -75.4 0        0.915   3.66   #> 10 1             10  0.0966  -71.5 1.48e-18 0.531   0.0966 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"function generate n random points chisquare distribution user provided, .df, .ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"","code":"tidy_chisquare(   .n = 50,   .df = 1,   .ncp = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":".n number randomly generated points want. .df Degrees freedom (non-negative can non-integer) .ncp Non-centrality parameter, must non-negative. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"function uses underlying stats::rchisq(), underlying p, d, q functions. information please see stats::rchisq()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_chisquare.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Chisquare (Non-Central) Distribution Tibble — tidy_chisquare","text":"","code":"tidy_chisquare() #> # A tibble: 50 × 7 #>    sim_number     x       y      dx      dy      p       q #>    <fct>      <int>   <dbl>   <dbl>   <dbl>  <dbl>   <dbl> #>  1 1              1 0.0110  -2.58   0.00141 0.0507 0.0110  #>  2 1              2 5.28    -2.22   0.00471 0.902  5.28    #>  3 1              3 1.39    -1.86   0.0133  0.556  1.39    #>  4 1              4 0.00843 -1.51   0.0321  0.0444 0.00843 #>  5 1              5 0.0290  -1.15   0.0659  0.0825 0.0290  #>  6 1              6 2.90    -0.793  0.116   0.756  2.90    #>  7 1              7 0.369   -0.436  0.174   0.293  0.369   #>  8 1              8 6.24    -0.0799 0.227   0.933  6.24    #>  9 1              9 3.64     0.277  0.257   0.816  3.64    #> 10 1             10 3.95     0.633  0.258   0.837  3.95    #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"","code":"tidy_combined_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":".data data passed function tidy_multi_dist() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combined_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Combined Multi Dist Data — tidy_combined_autoplot","text":"","code":"combined_tbl <- tidy_combine_distributions(   tidy_normal(),   tidy_gamma(),   tidy_beta() )  combined_tbl #> # A tibble: 150 × 8 #>    sim_number     x       y    dx       dy      p       q dist_type        #>    <fct>      <int>   <dbl> <dbl>    <dbl>  <dbl>   <dbl> <fct>            #>  1 1              1 -1.36   -3.52 0.000368 0.0864 -1.36   Gaussian c(0, 1) #>  2 1              2 -1.20   -3.37 0.00102  0.116  -1.20   Gaussian c(0, 1) #>  3 1              3  0.804  -3.22 0.00254  0.789   0.804  Gaussian c(0, 1) #>  4 1              4  0.969  -3.06 0.00565  0.834   0.969  Gaussian c(0, 1) #>  5 1              5 -1.09   -2.91 0.0113   0.138  -1.09   Gaussian c(0, 1) #>  6 1              6 -1.38   -2.76 0.0203   0.0835 -1.38   Gaussian c(0, 1) #>  7 1              7 -0.672  -2.61 0.0331   0.251  -0.672  Gaussian c(0, 1) #>  8 1              8  0.371  -2.46 0.0498   0.645   0.371  Gaussian c(0, 1) #>  9 1              9  1.44   -2.30 0.0699   0.925   1.44   Gaussian c(0, 1) #> 10 1             10 -0.0394 -2.15 0.0931   0.484  -0.0394 Gaussian c(0, 1) #> # ℹ 140 more rows  combined_tbl |>   tidy_combined_autoplot()   combined_tbl |>   tidy_combined_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":null,"dir":"Reference","previous_headings":"","what":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"allows user specify n number tidy_ distributions can combined single tibble. preferred method combining multiple distributions different types, example Gaussian distribution Beta distribution. generates single tibble added column dist_type give distribution family name associated parameters.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"","code":"tidy_combine_distributions(...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"... ... can place different distributions","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"Allows user generate tibble different tidy_ distributions","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_combine_distributions.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Combine Multiple Tidy Distributions of Different Types — tidy_combine_distributions","text":"","code":"tn <- tidy_normal() tb <- tidy_beta() tc <- tidy_cauchy()  tidy_combine_distributions(tn, tb, tc) #> # A tibble: 150 × 8 #>    sim_number     x      y    dx       dy      p      q dist_type        #>    <fct>      <int>  <dbl> <dbl>    <dbl>  <dbl>  <dbl> <fct>            #>  1 1              1 -0.199 -3.47 0.000222 0.421  -0.199 Gaussian c(0, 1) #>  2 1              2  0.142 -3.32 0.000638 0.556   0.142 Gaussian c(0, 1) #>  3 1              3  2.28  -3.16 0.00161  0.989   2.28  Gaussian c(0, 1) #>  4 1              4  1.63  -3.01 0.00355  0.949   1.63  Gaussian c(0, 1) #>  5 1              5  0.547 -2.86 0.00694  0.708   0.547 Gaussian c(0, 1) #>  6 1              6  0.215 -2.71 0.0121   0.585   0.215 Gaussian c(0, 1) #>  7 1              7 -1.42  -2.55 0.0193   0.0771 -1.42  Gaussian c(0, 1) #>  8 1              8 -0.850 -2.40 0.0288   0.198  -0.850 Gaussian c(0, 1) #>  9 1              9  0.886 -2.25 0.0411   0.812   0.886 Gaussian c(0, 1) #> 10 1             10 -1.44  -2.10 0.0576   0.0748 -1.44  Gaussian c(0, 1) #> # ℹ 140 more rows  ## OR  tidy_combine_distributions(   tidy_normal(),   tidy_beta(),   tidy_cauchy(),   tidy_logistic() ) #> # A tibble: 200 × 8 #>    sim_number     x      y    dx       dy     p      q dist_type        #>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl> <fct>            #>  1 1              1 -0.258 -3.24 0.000490 0.398 -0.258 Gaussian c(0, 1) #>  2 1              2  0.719 -3.12 0.00130  0.764  0.719 Gaussian c(0, 1) #>  3 1              3  0.720 -2.99 0.00309  0.764  0.720 Gaussian c(0, 1) #>  4 1              4 -0.697 -2.87 0.00648  0.243 -0.697 Gaussian c(0, 1) #>  5 1              5 -0.402 -2.75 0.0121   0.344 -0.402 Gaussian c(0, 1) #>  6 1              6  0.457 -2.63 0.0200   0.676  0.457 Gaussian c(0, 1) #>  7 1              7 -0.456 -2.50 0.0296   0.324 -0.456 Gaussian c(0, 1) #>  8 1              8  1.24  -2.38 0.0392   0.893  1.24  Gaussian c(0, 1) #>  9 1              9  0.183 -2.26 0.0473   0.573  0.183 Gaussian c(0, 1) #> 10 1             10  0.176 -2.14 0.0532   0.570  0.176 Gaussian c(0, 1) #> # ℹ 190 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":null,"dir":"Reference","previous_headings":"","what":"Compare Empirical Data to Distributions — tidy_distribution_comparison","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"Compare empirical data set different distributions help find distribution best fit.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"","code":"tidy_distribution_comparison(   .x,   .distribution_type = \"continuous\",   .round_to_place = 3 )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":".x data set passed function .distribution_type kind data , can one continuous discrete .round_to_place many decimal places parameter estimates rounded distibution construction. default 3","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"invisible list object. tibble printed.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"purpose function take data set provided try find distribution may fit best. parameter .distribution_type must set either continuous discrete order function try appropriate types distributions. following distributions used: Continuous: tidy_beta tidy_cauchy tidy_chisquare tidy_exponential tidy_gamma tidy_logistic tidy_lognormal tidy_normal tidy_pareto tidy_uniform tidy_weibull Discrete: tidy_binomial tidy_geometric tidy_hypergeometric tidy_poisson function returns list output tibbles. tibbles returned: comparison_tbl deviance_tbl total_deviance_tbl aic_tbl kolmogorov_smirnov_tbl multi_metric_tbl comparison_tbl long tibble lists values density function given data. deviance_tbl total_deviance_tbl just give simple difference actual density estimated density given estimated distribution. aic_tbl provide AIC liklehood distribution. kolmogorov_smirnov_tbl now provides two.sided estimate ks.test estimated density empirical. multi_metric_tbl summarise metrics single tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_comparison.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compare Empirical Data to Distributions — tidy_distribution_comparison","text":"","code":"xc <- mtcars$mpg output_c <- tidy_distribution_comparison(xc, \"continuous\") #> For the beta distribution, its mean 'mu' should be 0 < mu < 1. The data will #> therefore be scaled to enforce this. #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> There was no need to scale the data. #> Warning: There were 97 warnings in `dplyr::mutate()`. #> The first warning was: #> ℹ In argument: `aic_value = dplyr::case_when(...)`. #> Caused by warning in `actuar::dpareto()`: #> ! NaNs produced #> ℹ Run dplyr::last_dplyr_warnings() to see the 96 remaining warnings.  xd <- trunc(xc) output_d <- tidy_distribution_comparison(xd, \"discrete\") #> There was no need to scale the data. #> Warning: There were 12 warnings in `dplyr::mutate()`. #> The first warning was: #> ℹ In argument: `aic_value = dplyr::case_when(...)`. #> Caused by warning in `actuar::dpareto()`: #> ! NaNs produced #> ℹ Run dplyr::last_dplyr_warnings() to see the 11 remaining warnings.  output_c #> $comparison_tbl #> # A tibble: 384 × 8 #>    sim_number     x     y    dx       dy     p     q dist_type #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> <fct>     #>  1 1              1  21    2.97 0.000114 0.625  10.4 Empirical #>  2 1              2  21    4.21 0.000455 0.625  10.4 Empirical #>  3 1              3  22.8  5.44 0.00142  0.781  13.3 Empirical #>  4 1              4  21.4  6.68 0.00355  0.688  14.3 Empirical #>  5 1              5  18.7  7.92 0.00721  0.469  14.7 Empirical #>  6 1              6  18.1  9.16 0.0124   0.438  15   Empirical #>  7 1              7  14.3 10.4  0.0192   0.125  15.2 Empirical #>  8 1              8  24.4 11.6  0.0281   0.812  15.2 Empirical #>  9 1              9  22.8 12.9  0.0395   0.781  15.5 Empirical #> 10 1             10  19.2 14.1  0.0516   0.531  15.8 Empirical #> # ℹ 374 more rows #>  #> $deviance_tbl #> # A tibble: 384 × 2 #>    name                        value #>    <chr>                       <dbl> #>  1 Empirical                  0.451  #>  2 Beta c(1.107, 1.577, 0)    0.287  #>  3 Cauchy c(19.2, 7.375)     -0.0169 #>  4 Chisquare c(20.243, 0)    -0.106  #>  5 Exponential c(0.05)        0.230  #>  6 Gamma c(11.47, 1.752)     -0.0322 #>  7 Logistic c(20.091, 3.27)   0.193  #>  8 Lognormal c(2.958, 0.293)  0.283  #>  9 Pareto c(10.4, 1.624)      0.446  #> 10 Uniform c(8.341, 31.841)   0.242  #> # ℹ 374 more rows #>  #> $total_deviance_tbl #> # A tibble: 11 × 2 #>    dist_with_params          abs_tot_deviance #>    <chr>                                <dbl> #>  1 Gamma c(11.47, 1.752)               0.0235 #>  2 Chisquare c(20.243, 0)              0.462  #>  3 Beta c(1.107, 1.577, 0)             0.640  #>  4 Uniform c(8.341, 31.841)            1.11   #>  5 Weibull c(3.579, 22.288)            1.34   #>  6 Cauchy c(19.2, 7.375)               1.56   #>  7 Logistic c(20.091, 3.27)            2.74   #>  8 Lognormal c(2.958, 0.293)           4.72   #>  9 Gaussian c(20.091, 5.932)           4.74   #> 10 Pareto c(10.4, 1.624)               6.95   #> 11 Exponential c(0.05)                 7.67   #>  #> $aic_tbl #> # A tibble: 11 × 3 #>    dist_type                 aic_value abs_aic #>    <fct>                         <dbl>   <dbl> #>  1 Beta c(1.107, 1.577, 0)         NA      NA  #>  2 Cauchy c(19.2, 7.375)          218.    218. #>  3 Chisquare c(20.243, 0)          NA      NA  #>  4 Exponential c(0.05)            258.    258. #>  5 Gamma c(11.47, 1.752)          206.    206. #>  6 Logistic c(20.091, 3.27)       209.    209. #>  7 Lognormal c(2.958, 0.293)      206.    206. #>  8 Pareto c(10.4, 1.624)          260.    260. #>  9 Uniform c(8.341, 31.841)       206.    206. #> 10 Weibull c(3.579, 22.288)       209.    209. #> 11 Gaussian c(20.091, 5.932)      209.    209. #>  #> $kolmogorov_smirnov_tbl #> # A tibble: 11 × 6 #>    dist_type              ks_statistic ks_pvalue ks_method alternative dist_char #>    <fct>                         <dbl>     <dbl> <chr>     <chr>       <chr>     #>  1 Beta c(1.107, 1.577, …        0.75   0.000500 Monte-Ca… two-sided   Beta c(1… #>  2 Cauchy c(19.2, 7.375)         0.469  0.00200  Monte-Ca… two-sided   Cauchy c… #>  3 Chisquare c(20.243, 0)        0.219  0.446    Monte-Ca… two-sided   Chisquar… #>  4 Exponential c(0.05)           0.469  0.00100  Monte-Ca… two-sided   Exponent… #>  5 Gamma c(11.47, 1.752)         0.156  0.847    Monte-Ca… two-sided   Gamma c(… #>  6 Logistic c(20.091, 3.…        0.125  0.976    Monte-Ca… two-sided   Logistic… #>  7 Lognormal c(2.958, 0.…        0.281  0.160    Monte-Ca… two-sided   Lognorma… #>  8 Pareto c(10.4, 1.624)         0.719  0.000500 Monte-Ca… two-sided   Pareto c… #>  9 Uniform c(8.341, 31.8…        0.188  0.621    Monte-Ca… two-sided   Uniform … #> 10 Weibull c(3.579, 22.2…        0.219  0.443    Monte-Ca… two-sided   Weibull … #> 11 Gaussian c(20.091, 5.…        0.156  0.833    Monte-Ca… two-sided   Gaussian… #>  #> $multi_metric_tbl #> # A tibble: 11 × 8 #>    dist_type abs_tot_deviance aic_value abs_aic ks_statistic ks_pvalue ks_method #>    <fct>                <dbl>     <dbl>   <dbl>        <dbl>     <dbl> <chr>     #>  1 Gamma c(…           0.0235      206.    206.        0.156  0.847    Monte-Ca… #>  2 Chisquar…           0.462        NA      NA         0.219  0.446    Monte-Ca… #>  3 Beta c(1…           0.640        NA      NA         0.75   0.000500 Monte-Ca… #>  4 Uniform …           1.11        206.    206.        0.188  0.621    Monte-Ca… #>  5 Weibull …           1.34        209.    209.        0.219  0.443    Monte-Ca… #>  6 Cauchy c…           1.56        218.    218.        0.469  0.00200  Monte-Ca… #>  7 Logistic…           2.74        209.    209.        0.125  0.976    Monte-Ca… #>  8 Lognorma…           4.72        206.    206.        0.281  0.160    Monte-Ca… #>  9 Gaussian…           4.74        209.    209.        0.156  0.833    Monte-Ca… #> 10 Pareto c…           6.95        260.    260.        0.719  0.000500 Monte-Ca… #> 11 Exponent…           7.67        258.    258.        0.469  0.00100  Monte-Ca… #> # ℹ 1 more variable: alternative <chr> #>  #> attr(,\".x\") #>  [1] 21.0 21.0 22.8 21.4 18.7 18.1 14.3 24.4 22.8 19.2 17.8 16.4 17.3 15.2 10.4 #> [16] 10.4 14.7 32.4 30.4 33.9 21.5 15.5 15.2 13.3 19.2 27.3 26.0 30.4 15.8 19.7 #> [31] 15.0 21.4 #> attr(,\".n\") #> [1] 32 output_d #> $comparison_tbl #> # A tibble: 160 × 8 #>    sim_number     x     y    dx       dy     p     q dist_type #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> <fct>     #>  1 1              1    21  2.95 0.000120 0.719    10 Empirical #>  2 1              2    21  4.14 0.000487 0.719    10 Empirical #>  3 1              3    22  5.34 0.00154  0.781    13 Empirical #>  4 1              4    21  6.54 0.00383  0.719    14 Empirical #>  5 1              5    18  7.74 0.00766  0.469    14 Empirical #>  6 1              6    18  8.93 0.0129   0.469    15 Empirical #>  7 1              7    14 10.1  0.0194   0.156    15 Empirical #>  8 1              8    24 11.3  0.0282   0.812    15 Empirical #>  9 1              9    22 12.5  0.0397   0.781    15 Empirical #> 10 1             10    19 13.7  0.0524   0.562    15 Empirical #> # ℹ 150 more rows #>  #> $deviance_tbl #> # A tibble: 160 × 2 #>    name                             value #>    <chr>                            <dbl> #>  1 Empirical                     0.478    #>  2 Binomial c(32, 0.031)         0.145    #>  3 Geometric c(0.048)           -0.000463 #>  4 Hypergeometric c(21, 11, 21) -0.322    #>  5 Poisson c(19.688)            -0.0932   #>  6 Empirical                     0.478    #>  7 Binomial c(32, 0.031)         0.478    #>  8 Geometric c(0.048)            0.361    #>  9 Hypergeometric c(21, 11, 21) -0.122    #> 10 Poisson c(19.688)             0.193    #> # ℹ 150 more rows #>  #> $total_deviance_tbl #> # A tibble: 4 × 2 #>   dist_with_params             abs_tot_deviance #>   <chr>                                   <dbl> #> 1 Hypergeometric c(21, 11, 21)             2.52 #> 2 Binomial c(32, 0.031)                    2.81 #> 3 Poisson c(19.688)                        3.19 #> 4 Geometric c(0.048)                       6.07 #>  #> $aic_tbl #> # A tibble: 4 × 3 #>   dist_type                    aic_value abs_aic #>   <fct>                            <dbl>   <dbl> #> 1 Binomial c(32, 0.031)             Inf     Inf  #> 2 Geometric c(0.048)                258.    258. #> 3 Hypergeometric c(21, 11, 21)      NaN     NaN  #> 4 Poisson c(19.688)                 210.    210. #>  #> $kolmogorov_smirnov_tbl #> # A tibble: 4 × 6 #>   dist_type               ks_statistic ks_pvalue ks_method alternative dist_char #>   <fct>                          <dbl>     <dbl> <chr>     <chr>       <chr>     #> 1 Binomial c(32, 0.031)          0.719  0.000500 Monte-Ca… two-sided   Binomial… #> 2 Geometric c(0.048)             0.5    0.00200  Monte-Ca… two-sided   Geometri… #> 3 Hypergeometric c(21, 1…        0.625  0.000500 Monte-Ca… two-sided   Hypergeo… #> 4 Poisson c(19.688)              0.156  0.850    Monte-Ca… two-sided   Poisson … #>  #> $multi_metric_tbl #> # A tibble: 4 × 8 #>   dist_type  abs_tot_deviance aic_value abs_aic ks_statistic ks_pvalue ks_method #>   <fct>                 <dbl>     <dbl>   <dbl>        <dbl>     <dbl> <chr>     #> 1 Hypergeom…             2.52      NaN     NaN         0.625  0.000500 Monte-Ca… #> 2 Binomial …             2.81      Inf     Inf         0.719  0.000500 Monte-Ca… #> 3 Poisson c…             3.19      210.    210.        0.156  0.850    Monte-Ca… #> 4 Geometric…             6.07      258.    258.        0.5    0.00200  Monte-Ca… #> # ℹ 1 more variable: alternative <chr> #>  #> attr(,\".x\") #>  [1] 21 21 22 21 18 18 14 24 22 19 17 16 17 15 10 10 14 32 30 33 21 15 15 13 19 #> [26] 27 26 30 15 19 15 21 #> attr(,\".n\") #> [1] 32"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"function returns summary statistics tibble. use y column tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"","code":"tidy_distribution_summary_tbl(.data, ...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":".data data going passed tidy_ distribution function. ... grouping variable gets passed dplyr::group_by() dplyr::select().","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"summary stats tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"function takes tidy_ distribution table return tibble following information: sim_number mean_val median_val std_val min_val max_val skewness kurtosis range iqr variance ci_hi ci_lo kurtosis skewness come package healthyR.ai","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_distribution_summary_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Distribution Summary Statistics Tibble — tidy_distribution_summary_tbl","text":"","code":"library(dplyr) #>  #> Attaching package: 'dplyr' #> The following objects are masked from 'package:stats': #>  #>     filter, lag #> The following objects are masked from 'package:base': #>  #>     intersect, setdiff, setequal, union  tn <- tidy_normal(.num_sims = 5) tb <- tidy_beta(.num_sims = 5)  tidy_distribution_summary_tbl(tn) #> # A tibble: 1 × 12 #>   mean_val median_val std_val min_val max_val skewness kurtosis range   iqr #>      <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> <dbl> #> 1   0.0462     0.0747   0.966   -2.82    2.80   0.0744     3.12  5.61  1.29 #> # ℹ 3 more variables: variance <dbl>, ci_low <dbl>, ci_high <dbl> tidy_distribution_summary_tbl(tn, sim_number) #> # A tibble: 5 × 13 #>   sim_number mean_val median_val std_val min_val max_val skewness kurtosis range #>   <fct>         <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> #> 1 1            0.200      0.120    0.928   -2.29    2.38    0.142     3.21  4.67 #> 2 2           -0.0698    -0.0932   0.868   -2.82    1.53   -0.422     3.55  4.35 #> 3 3           -0.0250     0.0539   0.869   -2.25    1.97   -0.141     2.92  4.22 #> 4 4           -0.0324    -0.120    1.17    -2.13    2.80    0.542     2.93  4.93 #> 5 5            0.158      0.299    0.969   -1.93    2.29   -0.264     2.58  4.22 #> # ℹ 4 more variables: iqr <dbl>, variance <dbl>, ci_low <dbl>, ci_high <dbl>  data_tbl <- tidy_combine_distributions(tn, tb)  tidy_distribution_summary_tbl(data_tbl) #> # A tibble: 1 × 12 #>   mean_val median_val std_val min_val max_val skewness kurtosis range   iqr #>      <dbl>      <dbl>   <dbl>   <dbl>   <dbl>    <dbl>    <dbl> <dbl> <dbl> #> 1    0.294      0.393   0.754   -2.82    2.80   -0.662     4.67  5.61 0.757 #> # ℹ 3 more variables: variance <dbl>, ci_low <dbl>, ci_high <dbl> tidy_distribution_summary_tbl(data_tbl, dist_type) #> # A tibble: 2 × 13 #>   dist_type mean_val median_val std_val  min_val max_val skewness kurtosis range #>   <fct>        <dbl>      <dbl>   <dbl>    <dbl>   <dbl>    <dbl>    <dbl> <dbl> #> 1 Gaussian…   0.0462     0.0747   0.966 -2.82      2.80    0.0744     3.12 5.61  #> 2 Beta c(1…   0.543      0.577    0.290  0.00230   0.999  -0.190      1.75 0.996 #> # ℹ 4 more variables: iqr <dbl>, variance <dbl>, ci_low <dbl>, ci_high <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Empirical — tidy_empirical","title":"Tidy Empirical — tidy_empirical","text":"function takes single argument .x vector return tibble information similar tidy_ distribution functions. y column set equal dy density function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Empirical — tidy_empirical","text":"","code":"tidy_empirical(.x, .num_sims = 1, .distribution_type = \"continuous\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Empirical — tidy_empirical","text":".x vector numbers .num_sims many simulations run, defaults 1. .distribution_type string either \"continuous\" \"discrete\". function default \"continuous\"","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Empirical — tidy_empirical","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Empirical — tidy_empirical","text":"function takes single argument .x vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Empirical — tidy_empirical","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_empirical.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Empirical — tidy_empirical","text":"","code":"x <- mtcars$mpg tidy_empirical(.x = x, .distribution_type = \"continuous\") #> # A tibble: 32 × 7 #>    sim_number     x     y    dx       dy     p     q #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> #>  1 1              1  21    2.97 0.000114 0.625  10.4 #>  2 1              2  21    4.21 0.000455 0.625  10.4 #>  3 1              3  22.8  5.44 0.00142  0.781  13.3 #>  4 1              4  21.4  6.68 0.00355  0.688  14.3 #>  5 1              5  18.7  7.92 0.00721  0.469  14.7 #>  6 1              6  18.1  9.16 0.0124   0.438  15   #>  7 1              7  14.3 10.4  0.0192   0.125  15.2 #>  8 1              8  24.4 11.6  0.0281   0.812  15.2 #>  9 1              9  22.8 12.9  0.0395   0.781  15.5 #> 10 1             10  19.2 14.1  0.0516   0.531  15.8 #> # ℹ 22 more rows tidy_empirical(.x = x, .num_sims = 10, .distribution_type = \"continuous\") #> # A tibble: 320 × 7 #>    sim_number     x     y    dx       dy     p     q #>    <fct>      <int> <dbl> <dbl>    <dbl> <dbl> <dbl> #>  1 1              1  30.4  7.23 0.000120 0.938  13.3 #>  2 1              2  14.7  8.29 0.000584 0.156  14.3 #>  3 1              3  18.7  9.34 0.00222  0.469  14.3 #>  4 1              4  19.2 10.4  0.00668  0.531  14.7 #>  5 1              5  24.4 11.5  0.0159   0.812  14.7 #>  6 1              6  17.8 12.5  0.0300   0.406  15   #>  7 1              7  22.8 13.6  0.0456   0.781  15.2 #>  8 1              8  19.7 14.6  0.0576   0.562  15.2 #>  9 1              9  15.2 15.7  0.0642   0.25   17.3 #> 10 1             10  26   16.7  0.0684   0.844  17.8 #> # ℹ 310 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"function generate n random points exponential distribution user provided, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"","code":"tidy_exponential(.n = 50, .rate = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":".n number randomly generated points want. .rate vector rates .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"function uses underlying stats::rexp(), underlying p, d, q functions. information please see stats::rexp()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_exponential.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Exponential Distribution Tibble — tidy_exponential","text":"","code":"tidy_exponential() #> # A tibble: 50 × 7 #>    sim_number     x     y       dx      dy     p     q #>    <fct>      <int> <dbl>    <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.212 -0.889   0.00160 0.191 0.212 #>  2 1              2 0.688 -0.761   0.00575 0.497 0.688 #>  3 1              3 0.724 -0.634   0.0176  0.515 0.724 #>  4 1              4 0.173 -0.507   0.0457  0.159 0.173 #>  5 1              5 3.40  -0.380   0.102   0.967 3.40  #>  6 1              6 2.13  -0.253   0.194   0.881 2.13  #>  7 1              7 0.812 -0.125   0.319   0.556 0.812 #>  8 1              8 0.265  0.00190 0.453   0.232 0.265 #>  9 1              9 1.12   0.129   0.564   0.674 1.12  #> 10 1             10 0.762  0.256   0.624   0.533 0.762 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated F Distribution Tibble — tidy_f","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"function generate n random points rf distribution user provided, df1,df2, ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"","code":"tidy_f(   .n = 50,   .df1 = 1,   .df2 = 1,   .ncp = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":".n number randomly generated points want. .df1 Degrees freedom, Inf allowed. .df2 Degrees freedom, Inf allowed. .ncp Non-centrality parameter. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"function uses underlying stats::rf(), underlying p, d, q functions. information please see stats::rf()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_f.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated F Distribution Tibble — tidy_f","text":"","code":"tidy_f() #> # A tibble: 50 × 7 #>    sim_number     x         y     dx       dy       p         q #>    <fct>      <int>     <dbl>  <dbl>    <dbl>   <dbl>     <dbl> #>  1 1              1  0.111     -6.16 6.86e- 3 0.205    0.111    #>  2 1              2 17.1       26.0  2.41e- 3 0.849   17.1      #>  3 1              3 42.4       58.1  3.22e-11 0.903   42.4      #>  4 1              4  2.03      90.2  4.61e- 4 0.611    2.03     #>  5 1              5  0.000138 122.   3.48e- 9 0.00749  0.000138 #>  6 1              6  0.0407   154.   1.92e-19 0.127    0.0407   #>  7 1              7  0.0618   187.   8.78e-19 0.155    0.0618   #>  8 1              8  0.104    219.   0        0.198    0.104    #>  9 1              9  2.73     251.   2.98e-19 0.653    2.73     #> 10 1             10  0.00803  283.   3.95e- 4 0.0569   0.00803  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Density Data — tidy_four_autoplot","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"","code":"tidy_four_autoplot(   .data,   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_four_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Density Data — tidy_four_autoplot","text":"","code":"tidy_normal(.num_sims = 5) |>   tidy_four_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"function generate n random points gamma distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"","code":"tidy_gamma(   .n = 50,   .shape = 1,   .scale = 0.3,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":".n number randomly generated points want. .shape strictly 0 infinity. .scale standard deviation randomly generated data. strictly 0 infinity. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"function uses underlying stats::rgamma(), underlying p, d, q functions. information please see stats::rgamma()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_gamma.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Gamma Distribution Tibble — tidy_gamma","text":"","code":"tidy_gamma() #> # A tibble: 50 × 6 #>    sim_number     x       y        dx      dy       p #>    <fct>      <int>   <dbl>     <dbl>   <dbl>   <dbl> #>  1 1              1 0.132   -0.361    0.00238 0.132   #>  2 1              2 0.0801  -0.321    0.00646 0.0801  #>  3 1              3 0.308   -0.281    0.0160  0.308   #>  4 1              4 0.00349 -0.241    0.0360  0.00349 #>  5 1              5 0.307   -0.201    0.0744  0.307   #>  6 1              6 1.16    -0.161    0.141   1.16    #>  7 1              7 0.237   -0.121    0.246   0.237   #>  8 1              8 0.103   -0.0810   0.396   0.103   #>  9 1              9 0.00485 -0.0409   0.591   0.00485 #> 10 1             10 0.353   -0.000909 0.820   0.353   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"function generate n random points generalized beta distribution user provided, .shape1, .shape2, .shape3, .rate, /.sclae, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"","code":"tidy_generalized_beta(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .shape3 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":".n number randomly generated points want. .shape1 non-negative parameter Beta distribution. .shape2 non-negative parameter Beta distribution. .shape3 non-negative parameter Beta distribution. .rate alternative way specify .scale parameter. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"function uses underlying stats::rbeta(), underlying p, d, q functions. information please see stats::rbeta()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_beta.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Generalized Beta Distribution Tibble — tidy_generalized_beta","text":"","code":"tidy_generalized_beta() #> # A tibble: 50 × 7 #>    sim_number     x      y      dx      dy      p      q #>    <fct>      <int>  <dbl>   <dbl>   <dbl>  <dbl>  <dbl> #>  1 1              1 0.248  -0.272  0.00334 0.248  0.248  #>  2 1              2 0.939  -0.241  0.00835 0.939  0.939  #>  3 1              3 0.852  -0.209  0.0191  0.852  0.852  #>  4 1              4 0.197  -0.178  0.0398  0.197  0.197  #>  5 1              5 0.728  -0.146  0.0757  0.728  0.728  #>  6 1              6 0.963  -0.115  0.132   0.963  0.963  #>  7 1              7 0.800  -0.0830 0.210   0.800  0.800  #>  8 1              8 0.353  -0.0515 0.306   0.353  0.353  #>  9 1              9 0.0827 -0.0199 0.410   0.0827 0.0827 #> 10 1             10 0.807   0.0116 0.506   0.807  0.807  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"function generate n random points generalized Pareto distribution user provided, .shape1, .shape2, .rate .scale number #' random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"","code":"tidy_generalized_pareto(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":".n number randomly generated points want. .shape1 Must positive. .shape2 Must positive. .rate alternative way specify .scale argument .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"function uses underlying actuar::rgenpareto(), underlying p, d, q functions. information please see actuar::rgenpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_generalized_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Generalized Pareto Distribution Tibble — tidy_generalized_pareto","text":"","code":"tidy_generalized_pareto() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy     p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl> <dbl> <dbl> #>  1 1              1 0.945 -1.95  0.000861 0.486 0.945 #>  2 1              2 1.29  -1.06  0.0278   0.563 1.29  #>  3 1              3 0.563 -0.162 0.184    0.360 0.563 #>  4 1              4 0.451  0.732 0.300    0.311 0.451 #>  5 1              5 0.475  1.63  0.201    0.322 0.475 #>  6 1              6 2.17   2.52  0.142    0.684 2.17  #>  7 1              7 0.758  3.41  0.0805   0.431 0.758 #>  8 1              8 1.58   4.31  0.0469   0.613 1.58  #>  9 1              9 2.75   5.20  0.0398   0.734 2.75  #> 10 1             10 5.88   6.10  0.0247   0.855 5.88  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"function generate n random points geometric distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"","code":"tidy_geometric(.n = 50, .prob = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":".n number randomly generated points want. .prob probability success trial 0 < prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"function uses underlying stats::rgeom(), underlying p, d, q functions. information please see stats::rgeom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_geometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Geometric Distribution Tibble — tidy_geometric","text":"","code":"tidy_geometric() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"function generate n random points hypergeometric distribution user provided, m,nn, k, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"","code":"tidy_hypergeometric(   .n = 50,   .m = 0,   .nn = 0,   .k = 0,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":".n number randomly generated points want. .m number white balls urn .nn number black balls urn .k number balls drawn fro urn. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"function uses underlying stats::rhyper(), underlying p, d, q functions. information please see stats::rhyper()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_hypergeometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Hypergeometric Distribution Tibble — tidy_hypergeometric","text":"","code":"tidy_hypergeometric() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx     dy     p     q #>    <fct>      <int> <int>  <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     0 -1.23  0.0109     1     0 #>  2 1              2     0 -1.18  0.0156     1     0 #>  3 1              3     0 -1.13  0.0220     1     0 #>  4 1              4     0 -1.08  0.0305     1     0 #>  5 1              5     0 -1.03  0.0418     1     0 #>  6 1              6     0 -0.983 0.0564     1     0 #>  7 1              7     0 -0.932 0.0749     1     0 #>  8 1              8     0 -0.882 0.0981     1     0 #>  9 1              9     0 -0.832 0.126      1     0 #> 10 1             10     0 -0.781 0.161      1     0 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"function generate n random points Inverse Burr distribution user provided, .shape1, .shape2, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"","code":"tidy_inverse_burr(   .n = 50,   .shape1 = 1,   .shape2 = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":".n number randomly generated points want. .shape1 Must strictly positive. .shape2 Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"function uses underlying actuar::rinvburr(), underlying p, d, q functions. information please see actuar::rinvburr()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_burr.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Burr Distribution Tibble — tidy_inverse_burr","text":"","code":"tidy_inverse_burr() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1  4.28   -2.76  1.12e- 3 0.811   4.28   #>  2 1              2 54.7     0.822 2.18e- 1 0.982  54.7    #>  3 1              3  0.727   4.41  4.04e- 2 0.421   0.727  #>  4 1              4  3.27    8.00  1.09e- 2 0.766   3.27   #>  5 1              5  0.271  11.6   8.02e- 3 0.213   0.271  #>  6 1              6  0.138  15.2   7.56e- 3 0.121   0.138  #>  7 1              7  0.767  18.8   1.01e- 6 0.434   0.767  #>  8 1              8 14.7    22.3   7.98e-17 0.936  14.7    #>  9 1              9  0.111  25.9   0        0.100   0.111  #> 10 1             10  0.0911 29.5   4.08e- 8 0.0835  0.0911 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"function generate n random points inverse exponential distribution user provided, .rate .scale number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"","code":"tidy_inverse_exponential(   .n = 50,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":".n number randomly generated points want. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"function uses underlying actuar::rinvexp(), underlying p, d, q functions. information please see actuar::rinvexp()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_exponential.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Exponential Distribution Tibble — tidy_inverse_exponential","text":"","code":"tidy_inverse_exponential() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 0.859 -2.61  6.92e- 4 0.312  0.859 #>  2 1              2 0.700 -0.676 7.79e- 2 0.240  0.700 #>  3 1              3 0.573  1.26  2.28e- 1 0.175  0.573 #>  4 1              4 0.320  3.20  8.58e- 2 0.0438 0.320 #>  5 1              5 1.71   5.14  3.45e- 2 0.557  1.71  #>  6 1              6 5.49   7.08  3.59e- 2 0.833  5.49  #>  7 1              7 2.40   9.02  2.02e- 2 0.659  2.40  #>  8 1              8 2.68  11.0   1.14e- 3 0.688  2.68  #>  9 1              9 0.574 12.9   1.53e- 6 0.175  0.574 #> 10 1             10 2.97  14.8   4.16e-11 0.714  2.97  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"function generate n random points inverse gamma distribution user provided, .shape, .rate, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"","code":"tidy_inverse_gamma(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"function uses underlying actuar::rinvgamma(), underlying p, d, q functions. information please see actuar::rinvgamma()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_gamma.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Gamma Distribution Tibble — tidy_inverse_gamma","text":"","code":"tidy_inverse_gamma() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx      dy     p     q #>    <fct>      <int> <dbl>  <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 2.96  -1.46  0.00107 0.713 2.96  #>  2 1              2 1.57   0.136 0.192   0.530 1.57  #>  3 1              3 0.711  1.74  0.246   0.245 0.711 #>  4 1              4 4.81   3.34  0.0656  0.812 4.81  #>  5 1              5 0.752  4.94  0.0417  0.264 0.752 #>  6 1              6 2.94   6.54  0.00992 0.711 2.94  #>  7 1              7 1.68   8.14  0.0112  0.551 1.68  #>  8 1              8 1.42   9.74  0.00364 0.495 1.42  #>  9 1              9 0.479 11.3   0.00809 0.124 0.479 #> 10 1             10 1.15  12.9   0.00390 0.419 1.15  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"function generate n random points Inverse Gaussian distribution user provided, .mean, .shape, .dispersionThe function returns tibble simulation number column x column corresponds n randomly generated points. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"","code":"tidy_inverse_normal(   .n = 50,   .mean = 1,   .shape = 1,   .dispersion = 1/.shape,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":".n number randomly generated points want. .mean Must strictly positive. .shape Must strictly positive. .dispersion alternative way specify .shape. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"function uses underlying actuar::rinvgauss(). information please see rinvgauss()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_normal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Gaussian Distribution Tibble — tidy_inverse_normal","text":"","code":"tidy_inverse_normal() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.261 -0.609  0.00154 0.124 0.261 #>  2 1              2 0.457 -0.492  0.00657 0.326 0.457 #>  3 1              3 4.41  -0.374  0.0229  0.985 4.41  #>  4 1              4 1.15  -0.257  0.0655  0.723 1.15  #>  5 1              5 2.06  -0.139  0.154   0.892 2.06  #>  6 1              6 0.280 -0.0218 0.299   0.144 0.280 #>  7 1              7 4.05   0.0958 0.486   0.980 4.05  #>  8 1              8 0.531  0.213  0.666   0.391 0.531 #>  9 1              9 1.86   0.331  0.782   0.869 1.86  #> 10 1             10 0.416  0.448  0.803   0.286 0.416 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"function generate n random points inverse pareto distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"","code":"tidy_inverse_pareto(   .n = 50,   .shape = 1,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":".n number randomly generated points want. .shape Must positive. .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"function uses underlying actuar::rinvpareto(), underlying p, d, q functions. information please see actuar::rinvpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Pareto Distribution Tibble — tidy_inverse_pareto","text":"","code":"tidy_inverse_pareto() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy      p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl>  <dbl>  <dbl> #>  1 1              1 0.0800 -2.11  0.000891 0.0741 0.0800 #>  2 1              2 2.21   -0.913 0.0532   0.689  2.21   #>  3 1              3 2.45    0.282 0.289    0.710  2.45   #>  4 1              4 3.23    1.48  0.212    0.763  3.23   #>  5 1              5 0.683   2.67  0.0927   0.406  0.683  #>  6 1              6 5.20    3.87  0.0564   0.839  5.20   #>  7 1              7 7.44    5.07  0.0466   0.881  7.44   #>  8 1              8 5.71    6.26  0.0221   0.851  5.71   #>  9 1              9 0.377   7.46  0.0137   0.274  0.377  #> 10 1             10 1.88    8.65  0.0133   0.653  1.88   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"function generate n random points weibull distribution user provided, .shape, .scale, .rate, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"","code":"tidy_inverse_weibull(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale. .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"function uses underlying actuar::rinvweibull(), underlying p, d, q functions. information please see actuar::rinvweibull()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_inverse_weibull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Inverse Weibull Distribution Tibble — tidy_inverse_weibull","text":"","code":"tidy_inverse_weibull() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 0.663 -2.52  0.000601 0.221  0.663 #>  2 1              2 2.58  -1.15  0.0272   0.679  2.58  #>  3 1              3 0.563  0.217 0.181    0.169  0.563 #>  4 1              4 5.31   1.59  0.222    0.828  5.31  #>  5 1              5 3.98   2.96  0.0981   0.778  3.98  #>  6 1              6 0.419  4.33  0.0480   0.0918 0.419 #>  7 1              7 4.91   5.70  0.0261   0.816  4.91  #>  8 1              8 3.28   7.07  0.0236   0.737  3.28  #>  9 1              9 0.963  8.44  0.0229   0.354  0.963 #> 10 1             10 3.67   9.82  0.00787  0.762  3.67  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"function takes vector input return kurtosis vector. length vector must least four numbers. kurtosis explains sharpness peak distribution data. ((1/n) * sum(x - mu})^4) / ((()1/n) * sum(x - mu)^2)^2","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"","code":"tidy_kurtosis_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":".x numeric vector length four .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"kurtosis vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"function return kurtosis vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_kurtosis_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Kurtosis of a Vector — tidy_kurtosis_vec","text":"","code":"tidy_kurtosis_vec(rnorm(100, 3, 2)) #> [1] 2.719798"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"function generate n random points logistic distribution user provided, .location, .scale, number random simulations produced. function returns tibble simulation number column x column corresonds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"","code":"tidy_logistic(   .n = 50,   .location = 0,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":".n number randomly generated points want. .location location parameter .scale scale parameter .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"function uses underlying stats::rlogis(), underlying p, d, q functions. information please see stats::rlogis()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_logistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Logistic Distribution Tibble — tidy_logistic","text":"","code":"tidy_logistic() #> # A tibble: 50 × 7 #>    sim_number     x       y    dx       dy      p       q #>    <fct>      <int>   <dbl> <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -2.51   -5.46 0.000171 0.0750 -2.51   #>  2 1              2 -0.577  -5.21 0.000627 0.360  -0.577  #>  3 1              3 -0.454  -4.96 0.00184  0.388  -0.454  #>  4 1              4 -1.12   -4.71 0.00434  0.247  -1.12   #>  5 1              5  0.733  -4.47 0.00821  0.675   0.733  #>  6 1              6  0.391  -4.22 0.0125   0.597   0.391  #>  7 1              7  0.0979 -3.97 0.0156   0.524   0.0979 #>  8 1              8  1.99   -3.72 0.0168   0.880   1.99   #>  9 1              9 -1.68   -3.47 0.0180   0.157  -1.68   #> 10 1             10 -0.670  -3.22 0.0234   0.338  -0.670  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"function generate n random points lognormal distribution user provided, .meanlog, .sdlog, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"","code":"tidy_lognormal(   .n = 50,   .meanlog = 0,   .sdlog = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":".n number randomly generated points want. .meanlog Mean distribution log scale default 0 .sdlog Standard deviation distribution log scale default 1 .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"function uses underlying stats::rlnorm(), underlying p, d, q functions. information please see stats::rlnorm()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_lognormal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Lognormal Distribution Tibble — tidy_lognormal","text":"","code":"tidy_lognormal() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy      p     q #>    <fct>      <int> <dbl>  <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1 2.11  -2.01  0.000744 0.773  2.11  #>  2 1              2 0.473 -1.59  0.00420  0.227  0.473 #>  3 1              3 0.878 -1.16  0.0173   0.448  0.878 #>  4 1              4 2.56  -0.738 0.0527   0.826  2.56  #>  5 1              5 0.211 -0.313 0.119    0.0601 0.211 #>  6 1              6 0.375  0.112 0.205    0.164  0.375 #>  7 1              7 3.40   0.537 0.273    0.889  3.40  #>  8 1              8 3.08   0.962 0.291    0.869  3.08  #>  9 1              9 0.982  1.39  0.257    0.493  0.982 #> 10 1             10 2.89   1.81  0.201    0.856  2.89  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy MCMC Sampling — tidy_mcmc_sampling","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"function performs Markov Chain Monte Carlo (MCMC) sampling input data returns tidy data plot representing results.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"","code":"tidy_mcmc_sampling(.x, .fns = \"mean\", .cum_fns = \"cmean\", .num_sims = 2000)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":".x data vector MCMC sampling. .fns function(s) apply MCMC sample. Default \"mean\". .cum_fns function(s) apply cumulative MCMC samples. Default \"cmean\". .num_sims number simulations. Default 2000.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"list containing tidy data plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"Perform MCMC sampling return tidy data plot. function takes data vector input performs MCMC sampling specified number simulations. applies user-defined functions MCMC sample cumulative MCMC samples. resulting data formatted tidy format, suitable analysis. Additionally, plot generated visualize MCMC samples cumulative statistics.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mcmc_sampling.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy MCMC Sampling — tidy_mcmc_sampling","text":"","code":"# Generate MCMC samples set.seed(123) data <- rnorm(100) result <- tidy_mcmc_sampling(data, \"median\", \"cmedian\", 500) #> Warning: Setting '.num_sims' to less than 2000 means that results can be potentially #> unstable. Consider setting to 2000 or more. result #> $mcmc_data #> # A tibble: 1,000 × 3 #>    sim_number name                 value #>    <fct>      <fct>                <dbl> #>  1 1          .sample_median    -0.0285  #>  2 1          .cum_stat_cmedian -0.0285  #>  3 2          .sample_median     0.239   #>  4 2          .cum_stat_cmedian  0.105   #>  5 3          .sample_median     0.00576 #>  6 3          .cum_stat_cmedian  0.00576 #>  7 4          .sample_median    -0.0357  #>  8 4          .cum_stat_cmedian -0.0114  #>  9 5          .sample_median    -0.111   #> 10 5          .cum_stat_cmedian -0.0285  #> # ℹ 990 more rows #>  #> $plt  #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Mixture Data — tidy_mixture_density","title":"Tidy Mixture Data — tidy_mixture_density","text":"Create mixture model data resulting density line plots.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Mixture Data — tidy_mixture_density","text":"","code":"tidy_mixture_density(...)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Mixture Data — tidy_mixture_density","text":"... random data want pass. Example rnorm(50,0,1) something like tidy_normal(.mean = 5, .sd = 1)","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Mixture Data — tidy_mixture_density","text":"list object","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Mixture Data — tidy_mixture_density","text":"function allows make mixture model data. allows produce density data plots data strictly one family one single type distribution given set parameters. example function allow mix say tidy_normal(.mean = 0, .sd = 1) tidy_normal(.mean = 5, .sd = 1) can mix match distributions. output list object three components. Data input_data (random data passed) dist_tbl (tibble passed random data) density_tbl (tibble x y data stats::density()) Plots line_plot - Plots dist_tbl dens_plot - Plots density_tbl Input Functions input_fns - list functions parameters passed function ","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Mixture Data — tidy_mixture_density","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_mixture_density.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Mixture Data — tidy_mixture_density","text":"","code":"output <- tidy_mixture_density(rnorm(100, 0, 1), tidy_normal(.mean = 5, .sd = 1))  output$data #> $dist_tbl #> # A tibble: 150 × 2 #>        x      y #>    <int>  <dbl> #>  1     1 -0.235 #>  2     2 -1.08  #>  3     3 -0.394 #>  4     4  0.378 #>  5     5 -0.305 #>  6     6  0.558 #>  7     7 -1.39  #>  8     8  1.68  #>  9     9 -1.08  #> 10    10 -0.699 #> # ℹ 140 more rows #>  #> $dens_tbl #> # A tibble: 150 × 2 #>        x         y #>    <dbl>     <dbl> #>  1 -5.13 0.0000554 #>  2 -5.03 0.0000794 #>  3 -4.94 0.000113  #>  4 -4.84 0.000159  #>  5 -4.74 0.000221  #>  6 -4.65 0.000304  #>  7 -4.55 0.000414  #>  8 -4.45 0.000558  #>  9 -4.36 0.000746  #> 10 -4.26 0.000986  #> # ℹ 140 more rows #>  #> $input_data #> $input_data$`rnorm(100, 0, 1)` #>   [1] -0.235353001 -1.078278941 -0.394494306  0.378351368 -0.305441689 #>   [6]  0.558246758 -1.393532326  1.684877827 -1.081165240 -0.699117005 #>  [11] -0.725905652 -1.517417803 -0.687345982  1.138408622 -0.828156661 #>  [16] -1.764248116 -0.394656802  0.680190219  1.674713389 -1.622145315 #>  [21] -1.139302224 -0.653020621  1.259829155 -1.657913877 -0.205151049 #>  [26]  0.471233597  0.126930606  0.776793531  0.463766570  1.121856454 #>  [31]  0.287754635 -0.942991367 -1.326285422 -0.831089780  0.870650245 #>  [36]  2.220308388 -0.517924250  0.176057409 -0.079394425  0.464457785 #>  [41] -1.228834634 -0.827114503 -0.442650039  0.563441181  3.045195603 #>  [46]  0.630522340 -2.287277571 -1.963242402 -0.587886403  0.660829020 #>  [51]  0.575452544 -0.732980663  0.646981831 -0.304213920  0.478974620 #>  [56] -0.680208172  1.020957064  0.211375567  2.556798079 -0.357284695 #>  [61]  1.296430536 -0.106096171 -1.788955128  1.306353861  0.267957365 #>  [66]  0.046148651  0.881654738 -1.521475135 -1.074093381  0.784098611 #>  [71] -1.325868925 -0.908470832  0.092405292 -0.637334735  0.420245842 #>  [76] -0.445381955 -0.005572972 -0.095291648  1.458740814 -0.225460424 #>  [81]  0.539405404  0.914422018  0.849907176  1.167660314  0.872550773 #>  [86] -2.588423803 -0.614142664  0.739495589  0.065735720 -0.789692769 #>  [91] -0.382117193 -0.542426104 -0.499944756  2.499905149  0.345791751 #>  [96] -0.489950558  1.045149401 -0.597249064  0.385316128 -1.478374322 #>  #> $input_data$`tidy_normal(.mean = 5, .sd = 1)` #> # A tibble: 50 × 7 #>    sim_number     x     y    dx       dy      p     q #>    <fct>      <int> <dbl> <dbl>    <dbl>  <dbl> <dbl> #>  1 1              1  4.75  1.90 0.000361 0.401   4.75 #>  2 1              2  5.83  2.02 0.00102  0.797   5.83 #>  3 1              3  4.81  2.14 0.00255  0.425   4.81 #>  4 1              4  3.95  2.26 0.00563  0.147   3.95 #>  5 1              5  4.42  2.38 0.0110   0.282   4.42 #>  6 1              6  2.90  2.50 0.0192   0.0179  2.90 #>  7 1              7  4.51  2.62 0.0299   0.313   4.51 #>  8 1              8  6.53  2.73 0.0420   0.937   6.53 #>  9 1              9  6.73  2.85 0.0541   0.958   6.73 #> 10 1             10  6.07  2.97 0.0654   0.857   6.07 #> # ℹ 40 more rows #>  #>   output$plots #> $line_plot  #>  #> $dens_plot  #>   output$input_fns #> [[1]] #> rnorm(100, 0, 1) #>  #> [[2]] #> tidy_normal(.mean = 5, .sd = 1) #>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"auto plotting function take tidy_ distribution function arguments, one plot type, quoted string one following: density quantile probablity qq mcmc number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"","code":"tidy_multi_dist_autoplot(   .data,   .plot_type = \"density\",   .line_size = 0.5,   .geom_point = FALSE,   .point_size = 1,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .geom_jitter = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":".data data passed function tidy_multi_dist() .plot_type quoted string like 'density' .line_size size param ggplot .geom_point Boolean value TREU/FALSE, FALSE default. TRUE return plot ggplot2::ggeom_point() .point_size point size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .geom_jitter Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_jitter() .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"function spit one following plots: density quantile probability qq mcmc","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_dist_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Multi Dist Data — tidy_multi_dist_autoplot","text":"","code":"tn <- tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 100,     .mean = c(-2, 0, 2),     .sd = 1,     .num_sims = 5,     .return_tibble = TRUE   ) )  tn |>   tidy_multi_dist_autoplot()   tn |>   tidy_multi_dist_autoplot(.plot_type = \"qq\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Generate multiple distributions data tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"","code":"tidy_multi_single_dist(.tidy_dist = NULL, .param_list = list())"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":".tidy_dist type tidy_ distribution want run. can choose one. .param_list must list() object parameters want pass TidyDensity tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Generate multiple distributions data tidy_ distribution function. allows simulate multiple distributions family order view shapes change parameter changes. can visualize differences however choose.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_multi_single_dist.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate Multiple Tidy Distributions of a single type — tidy_multi_single_dist","text":"","code":"tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 50,     .mean = c(-1, 0, 1),     .sd = 1,     .num_sims = 3,     .return_tibble = TRUE   ) ) #> # A tibble: 450 × 8 #>    sim_number dist_name             x      y    dx       dy      p      q #>    <fct>      <fct>             <int>  <dbl> <dbl>    <dbl>  <dbl>  <dbl> #>  1 1          Gaussian c(-1, 1)     1 -1.00  -4.51 0.000224 0.499  -1.00  #>  2 1          Gaussian c(-1, 1)     2 -1.21  -4.37 0.000584 0.417  -1.21  #>  3 1          Gaussian c(-1, 1)     3 -1.55  -4.23 0.00136  0.291  -1.55  #>  4 1          Gaussian c(-1, 1)     4 -2.00  -4.10 0.00285  0.159  -2.00  #>  5 1          Gaussian c(-1, 1)     5 -0.998 -3.96 0.00537  0.501  -0.998 #>  6 1          Gaussian c(-1, 1)     6 -1.80  -3.82 0.00915  0.211  -1.80  #>  7 1          Gaussian c(-1, 1)     7 -0.949 -3.69 0.0143   0.520  -0.949 #>  8 1          Gaussian c(-1, 1)     8 -1.42  -3.55 0.0207   0.336  -1.42  #>  9 1          Gaussian c(-1, 1)     9 -2.30  -3.42 0.0288   0.0960 -2.30  #> 10 1          Gaussian c(-1, 1)    10 -1.35  -3.28 0.0392   0.365  -1.35  #> # ℹ 440 more rows  tidy_multi_single_dist(   .tidy_dist = \"tidy_normal\",   .param_list = list(     .n = 50,     .mean = c(-1, 0, 1),     .sd = 1,     .num_sims = 3,     .return_tibble = FALSE   ) ) #>      sim_number         dist_name     x          y        dx           dy #>          <fctr>            <fctr> <int>      <num>     <num>        <num> #>   1:          1 Gaussian c(-1, 1)     1 -1.1246093 -4.795337 0.0002178942 #>   2:          1 Gaussian c(-1, 1)     2 -0.1464203 -4.641775 0.0006045876 #>   3:          1 Gaussian c(-1, 1)     3 -2.6360620 -4.488213 0.0014859375 #>   4:          1 Gaussian c(-1, 1)     4 -1.7831379 -4.334651 0.0032434431 #>   5:          1 Gaussian c(-1, 1)     5 -1.5017047 -4.181089 0.0063089364 #>  ---                                                                      #> 446:          3  Gaussian c(1, 1)    46 -0.2268759  4.237218 0.0067100536 #> 447:          3  Gaussian c(1, 1)    47  0.5696987  4.375429 0.0035494345 #> 448:          3  Gaussian c(1, 1)    48  1.1117364  4.513640 0.0016472812 #> 449:          3  Gaussian c(1, 1)    49 -0.3629532  4.651851 0.0006702934 #> 450:          3  Gaussian c(1, 1)    50 -0.2865964  4.790063 0.0002390150 #>               p          q #>           <num>      <num> #>   1: 0.45041645 -1.1246093 #>   2: 0.80333106 -0.1464203 #>   3: 0.05091331 -2.6360620 #>   4: 0.21677307 -1.7831379 #>   5: 0.30793764 -1.5017047 #>  ---                       #> 446: 0.10993461 -0.2268759 #> 447: 0.33348825  0.5696987 #> 448: 0.54448378  1.1117364 #> 449: 0.08644864 -0.3629532 #> 450: 0.09911749 -0.2865964"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"function generate n random points negative binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"","code":"tidy_negative_binomial(   .n = 50,   .size = 1,   .prob = 0.1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":".n number randomly generated points want. .size target number successful trials, dispersion parameter (shape parameter gamma mixing distribution). Must strictly positive, need integer. .prob Probability success trial 0 < .prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"function uses underlying stats::rnbinom(), underlying p, d, q functions. information please see stats::rnbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_negative_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Negative Binomial Distribution Tibble — tidy_negative_binomial","text":"","code":"tidy_negative_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx       dy     p     q #>    <fct>      <int> <int>  <dbl>    <dbl> <dbl> <dbl> #>  1 1              1     2 -8.06  0.000221 0.271     2 #>  2 1              2     1 -6.55  0.00109  0.190     1 #>  3 1              3    11 -5.04  0.00404  0.718    11 #>  4 1              4     4 -3.52  0.0113   0.410     4 #>  5 1              5    16 -2.01  0.0243   0.833    16 #>  6 1              6     7 -0.499 0.0411   0.570     7 #>  7 1              7     0  1.01  0.0559   0.1       0 #>  8 1              8     2  2.53  0.0632   0.271     2 #>  9 1              9     0  4.04  0.0621   0.1       0 #> 10 1             10     1  5.55  0.0566   0.190     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"function generate n random points Gaussian distribution user provided, .mean, .sd - standard deviation number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, dnorm, pnorm qnorm data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"","code":"tidy_normal(.n = 50, .mean = 0, .sd = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":".n number randomly generated points want. .mean mean randomly generated data. .sd standard deviation randomly generated data. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"function uses underlying stats::rnorm(), stats::pnorm(), stats::qnorm() functions generate data given parameters. information please see stats::rnorm()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_normal.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Gaussian Distribution Tibble — tidy_normal","text":"","code":"tidy_normal() #> # A tibble: 50 × 7 #>    sim_number     x       y    dx       dy     p       q #>    <fct>      <int>   <dbl> <dbl>    <dbl> <dbl>   <dbl> #>  1 1              1  0.920  -3.64 0.000224 0.821  0.920  #>  2 1              2  0.166  -3.50 0.000595 0.566  0.166  #>  3 1              3  0.0983 -3.37 0.00140  0.539  0.0983 #>  4 1              4 -0.231  -3.23 0.00293  0.409 -0.231  #>  5 1              5 -1.17   -3.09 0.00544  0.121 -1.17   #>  6 1              6  0.468  -2.95 0.00899  0.680  0.468  #>  7 1              7 -1.16   -2.81 0.0133   0.124 -1.16   #>  8 1              8  0.657  -2.68 0.0176   0.745  0.657  #>  9 1              9 -0.729  -2.54 0.0213   0.233 -0.729  #> 10 1             10  1.27   -2.40 0.0244   0.897  1.27   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"function generate n random points paralogistic distribution user provided, .shape, .rate, .scale number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"","code":"tidy_paralogistic(   .n = 50,   .shape = 1,   .rate = 1,   .scale = 1/.rate,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":".n number randomly generated points want. .shape Must strictly positive. .rate alternative way specify .scale .scale Must strictly positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"function uses underlying actuar::rparalogis(), underlying p, d, q functions. information please see actuar::rparalogis()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_paralogistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Paralogistic Distribution Tibble — tidy_paralogistic","text":"","code":"tidy_paralogistic() #> # A tibble: 50 × 7 #>    sim_number     x      y     dx       dy     p      q #>    <fct>      <int>  <dbl>  <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1  1.25  -2.49  0.000878 0.556  1.25  #>  2 1              2  1.34  -0.936 0.0615   0.573  1.34  #>  3 1              3  0.981  0.623 0.247    0.495  0.981 #>  4 1              4  2.70   2.18  0.149    0.730  2.70  #>  5 1              5  1.04   3.74  0.0599   0.510  1.04  #>  6 1              6  0.251  5.30  0.0371   0.200  0.251 #>  7 1              7 35.6    6.86  0.0101   0.973 35.6   #>  8 1              8  0.917  8.41  0.000610 0.478  0.917 #>  9 1              9  0.462  9.97  0.00770  0.316  0.462 #> 10 1             10 17.4   11.5   0.00459  0.946 17.4   #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"function generate n random points pareto distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"","code":"tidy_pareto(   .n = 50,   .shape = 10,   .scale = 0.1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":".n number randomly generated points want. .shape Must positive. .scale Must positive. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"function uses underlying actuar::rpareto(), underlying p, d, q functions. information please see actuar::rpareto()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Pareto Distribution Tibble — tidy_pareto","text":"","code":"tidy_pareto() #> # A tibble: 50 × 7 #>    sim_number     x        y        dx     dy      p        q #>    <fct>      <int>    <dbl>     <dbl>  <dbl>  <dbl>    <dbl> #>  1 1              1 0.00692  -0.0131    0.139 0.488  0.00692  #>  2 1              2 0.00881  -0.0115    0.403 0.570  0.00881  #>  3 1              3 0.00137  -0.00998   1.04  0.127  0.00137  #>  4 1              4 0.00659  -0.00843   2.40  0.472  0.00659  #>  5 1              5 0.0151   -0.00687   4.95  0.755  0.0151   #>  6 1              6 0.000987 -0.00532   9.18  0.0935 0.000987 #>  7 1              7 0.00428  -0.00376  15.3   0.343  0.00428  #>  8 1              8 0.0203   -0.00221  23.0   0.843  0.0203   #>  9 1              9 0.000921 -0.000652 31.4   0.0876 0.000921 #> 10 1             10 0.00140   0.000903 39.2   0.130  0.00140  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"function generate n random points single parameter pareto distribution user provided, .shape, .min, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"","code":"tidy_pareto1(   .n = 50,   .shape = 1,   .min = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":".n number randomly generated points want. .shape Must positive. .min lower bound support distribution. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"function uses underlying actuar::rpareto1(), underlying p, d, q functions. information please see actuar::rpareto1()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_pareto1.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Pareto Single Parameter Distribution Tibble — tidy_pareto1","text":"","code":"tidy_pareto1() #> # A tibble: 50 × 7 #>    sim_number     x      y    dx       dy     p      q #>    <fct>      <int>  <dbl> <dbl>    <dbl> <dbl>  <dbl> #>  1 1              1   7.01 -2.57 1.87e- 3 0.857   7.01 #>  2 1              2   1.89  7.53 3.45e- 2 0.471   1.89 #>  3 1              3   1.62 17.6  1.57e-10 0.383   1.62 #>  4 1              4   6.07 27.7  8.30e- 3 0.835   6.07 #>  5 1              5   2.55 37.8  5.34e- 6 0.607   2.55 #>  6 1              6   1.27 47.9  7.03e-18 0.211   1.27 #>  7 1              7   1.52 58.0  1.08e-18 0.344   1.52 #>  8 1              8   2.31 68.1  0        0.567   2.31 #>  9 1              9 489.   78.2  1.56e-18 0.998 489.   #> 10 1             10   2.56 88.3  0        0.610   2.56 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"function generate n random points Poisson distribution user provided, .lambda, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"","code":"tidy_poisson(.n = 50, .lambda = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":".n number randomly generated points want. .lambda vector non-negative means. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"function uses underlying stats::rpois(), underlying p, d, q functions. information please see stats::rpois()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_poisson.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Poisson Distribution Tibble — tidy_poisson","text":"","code":"tidy_poisson() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <int>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1     3 -1.24   0.00325 0.981     3 #>  2 1              2     2 -1.11   0.00803 0.920     2 #>  3 1              3     1 -0.979  0.0179  0.736     1 #>  4 1              4     0 -0.846  0.0361  0.368     0 #>  5 1              5     1 -0.714  0.0658  0.736     1 #>  6 1              6     1 -0.581  0.108   0.736     1 #>  7 1              7     1 -0.449  0.162   0.736     1 #>  8 1              8     3 -0.317  0.219   0.981     3 #>  9 1              9     0 -0.184  0.269   0.368     0 #> 10 1             10     1 -0.0519 0.303   0.736     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Random Walk — tidy_random_walk","title":"Tidy Random Walk — tidy_random_walk","text":"Takes data tidy_ distribution function applies random walk calculation either cum_prod cum_sum y.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Random Walk — tidy_random_walk","text":"","code":"tidy_random_walk(   .data,   .initial_value = 0,   .sample = FALSE,   .replace = FALSE,   .value_type = \"cum_prod\" )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Random Walk — tidy_random_walk","text":".data data passed tidy_ distribution function. .initial_value default 0, can set whatever want. .sample boolean value TRUE/FALSE. default FALSE. set TRUE y value tidy_ distribution function sampled. .replace boolean value TRUE/FALSE. default FALSE. set TRUE .sample set TRUE replace parameter sample function set TRUE. .value_type can take one three different values now. following: \"cum_prod\" - take cumprod y \"cum_sum\" - take cumsum y","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Random Walk — tidy_random_walk","text":"ungrouped tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Random Walk — tidy_random_walk","text":"Monte Carlo simulations first formally designed 1940’s developing nuclear weapons, since heavily used various fields use randomness solve problems potentially deterministic nature. finance, Monte Carlo simulations can useful tool give sense assets certain characteristics might behave future. complex sophisticated financial forecasting methods ARIMA (Auto-Regressive Integrated Moving Average) GARCH (Generalised Auto-Regressive Conditional Heteroskedasticity) attempt model randomness underlying macro factors seasonality volatility clustering, Monte Carlo random walks work surprisingly well illustrating market volatility long results taken seriously.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Random Walk — tidy_random_walk","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Random Walk — tidy_random_walk","text":"","code":"tidy_normal(.sd = .1, .num_sims = 25) %>%   tidy_random_walk() #> # A tibble: 1,250 × 8 #>    sim_number     x        y     dx      dy      p        q random_walk_value #>    <fct>      <int>    <dbl>  <dbl>   <dbl>  <dbl>    <dbl>             <dbl> #>  1 1              1  0.0714  -0.333 0.00281 0.762   0.0714            0.0714  #>  2 1              2  0.159   -0.320 0.00727 0.944   0.159             0.242   #>  3 1              3  0.0641  -0.307 0.0172  0.739   0.0641            0.321   #>  4 1              4 -0.0278  -0.294 0.0372  0.390  -0.0278            0.284   #>  5 1              5 -0.0193  -0.281 0.0740  0.424  -0.0193            0.260   #>  6 1              6 -0.188   -0.268 0.135   0.0298 -0.188             0.0224  #>  7 1              7 -0.0128  -0.255 0.227   0.449  -0.0128            0.00930 #>  8 1              8  0.00734 -0.243 0.354   0.529   0.00734           0.0167  #>  9 1              9  0.122   -0.230 0.512   0.888   0.122             0.140   #> 10 1             10  0.0262  -0.217 0.691   0.603   0.0262            0.170   #> # ℹ 1,240 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":null,"dir":"Reference","previous_headings":"","what":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"auto-plotting function take tidy_ distribution function arguments regard output visualization. number simulations exceeds 9 legend print. plot subtitle put together attributes table passed function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"","code":"tidy_random_walk_autoplot(   .data,   .line_size = 0.5,   .geom_rug = FALSE,   .geom_smooth = FALSE,   .interactive = FALSE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":".data data passed tidy_distribution function like tidy_normal() .line_size size param ggplot .geom_rug Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_rug() .geom_smooth Boolean value TRUE/FALSE, FALSE default. TRUE return use ggplot2::geom_smooth() aes parameter group set FALSE. ensures single smoothing band returned SE also set FALSE. Color set 'black' linetype 'dashed'. .interactive Boolean value TRUE/FALSE, FALSE default. TRUE return interactive plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"ggplot plotly plot.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"function produce simple random walk plot tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_random_walk_autoplot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Automatic Plot of Random Walk Data — tidy_random_walk_autoplot","text":"","code":"tidy_normal(.sd = .1, .num_sims = 5) |>   tidy_random_walk(.value_type = \"cum_sum\") |>   tidy_random_walk_autoplot()   tidy_normal(.sd = .1, .num_sims = 20) |>   tidy_random_walk(.value_type = \"cum_sum\", .sample = TRUE, .replace = TRUE) |>   tidy_random_walk_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":null,"dir":"Reference","previous_headings":"","what":"Get the range statistic — tidy_range_statistic","title":"Get the range statistic — tidy_range_statistic","text":"Takes numeric vector returns back range vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Get the range statistic — tidy_range_statistic","text":"","code":"tidy_range_statistic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Get the range statistic — tidy_range_statistic","text":".x numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Get the range statistic — tidy_range_statistic","text":"single number, range statistic","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Get the range statistic — tidy_range_statistic","text":"Takes numeric vector returns range vector using diff range functions.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Get the range statistic — tidy_range_statistic","text":"Steven P. Sandeson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_range_statistic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Get the range statistic — tidy_range_statistic","text":"","code":"tidy_range_statistic(seq(1:10)) #> [1] 9"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Takes numeric vector return vector scaled [0,1]","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"","code":"tidy_scale_zero_one_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":".x numeric vector scaled [0,1] inclusive.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"numeric vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Takes numeric vector return vector scaled [0,1] input vector must numeric. computation fairly straightforward. may helpful trying compare distributions data distribution like beta requires data 0 1 $$y[h] = (x - min(x))/(max(x) - min(x))$$","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_scale_zero_one_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Vector Function Scale to Zero and One — tidy_scale_zero_one_vec","text":"","code":"vec_1 <- rnorm(100, 2, 1) vec_2 <- tidy_scale_zero_one_vec(vec_1)  dens_1 <- density(vec_1) dens_2 <- density(vec_2) max_x <- max(dens_1$x, dens_2$x) max_y <- max(dens_1$y, dens_2$y) plot(dens_1,   asp = max_y / max_x, main = \"Density vec_1 (Red) and vec_2 (Blue)\",   col = \"red\", xlab = \"\", ylab = \"Density of Vec 1 and Vec 2\" ) lines(dens_2, col = \"blue\")"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":null,"dir":"Reference","previous_headings":"","what":"Compute Skewness of a Vector — tidy_skewness_vec","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"function takes vector input return skewness vector. length vector must least four numbers. skewness explains 'tailedness' distribution data. ((1/n) * sum(x - mu})^3) / ((()1/n) * sum(x - mu)^2)^(3/2)","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"","code":"tidy_skewness_vec(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":".x numeric vector length four .","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"skewness vector","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"function return skewness vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_skewness_vec.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Compute Skewness of a Vector — tidy_skewness_vec","text":"","code":"tidy_skewness_vec(rnorm(100, 3, 2)) #> [1] -0.2125557"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"function return stat function values given tidy_ distribution output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"","code":"tidy_stat_tbl(   .data,   .x = y,   .fns,   .return_type = \"vector\",   .use_data_table = FALSE,   ... )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":".data input data coming tidy_ distribution function. .x default y can one columns input data. .fns default IQR, can stat function like quantile median etc. .return_type default \"vector\" returns sapply object. .use_data_table default FALSE, TRUE use data.table hood still return tibble. argument set TRUE .return_type parameter ignored. ... Addition function arguments supplied parameters .fns","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"return object either sapply  lapply tibble based upon user input.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"function return value(s) given tidy_ distribution function output chosen column . function work tidy_ distribution functions. currently three different output types function. : \"vector\" - gives sapply() output \"list\" - gives lapply() output, \"tibble\" - returns tibble long format. Currently can pass stat function performs operation vector input. means can pass things like IQR, quantile associated arguments ... portion function. function also default rename value column tibble name function. function also give column name sim_number tibble output corresponding simulation numbers values. sapply lapply outputs column names also give simulation number information making column names like sim_number_1 etc. option .use_data_table can greatly enhance speed calculations performed used still returning tibble. calculations performed turning input data data.table object, performing necessary calculation converting back tibble object.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_stat_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Stats of Tidy Distribution — tidy_stat_tbl","text":"","code":"tn <- tidy_normal(.num_sims = 3)  p <- c(0.025, 0.25, 0.5, 0.75, 0.95)  tidy_stat_tbl(tn, y, quantile, \"vector\", probs = p, na.rm = TRUE) #>      sim_number_1 sim_number_2 sim_number_3 #> 2.5% -1.155744347   -1.5520265   -1.7105114 #> 25%  -0.546097181   -0.5562330   -0.6214001 #> 50%  -0.003455774   -0.1364431   -0.2174605 #> 75%   0.791361807    0.9394630    0.7260055 #> 95%   1.652023410    1.4163207    1.4707561 tidy_stat_tbl(tn, y, quantile, \"list\", probs = p) #> $sim_number_1 #>         2.5%          25%          50%          75%          95%  #> -1.155744347 -0.546097181 -0.003455774  0.791361807  1.652023410  #>  #> $sim_number_2 #>       2.5%        25%        50%        75%        95%  #> -1.5520265 -0.5562330 -0.1364431  0.9394630  1.4163207  #>  #> $sim_number_3 #>       2.5%        25%        50%        75%        95%  #> -1.7105114 -0.6214001 -0.2174605  0.7260055  1.4707561  #>  tidy_stat_tbl(tn, y, quantile, \"tibble\", probs = p) #> # A tibble: 15 × 3 #>    sim_number name  quantile #>    <fct>      <chr>    <dbl> #>  1 1          2.5%  -1.16    #>  2 1          25%   -0.546   #>  3 1          50%   -0.00346 #>  4 1          75%    0.791   #>  5 1          95%    1.65    #>  6 2          2.5%  -1.55    #>  7 2          25%   -0.556   #>  8 2          50%   -0.136   #>  9 2          75%    0.939   #> 10 2          95%    1.42    #> 11 3          2.5%  -1.71    #> 12 3          25%   -0.621   #> 13 3          50%   -0.217   #> 14 3          75%    0.726   #> 15 3          95%    1.47    tidy_stat_tbl(tn, y, quantile, .use_data_table = TRUE, probs = p, na.rm = TRUE) #> # A tibble: 15 × 3 #>    sim_number name  quantile #>    <fct>      <fct>    <dbl> #>  1 1          2.5%  -1.16    #>  2 1          25%   -0.546   #>  3 1          50%   -0.00346 #>  4 1          75%    0.791   #>  5 1          95%    1.65    #>  6 2          2.5%  -1.55    #>  7 2          25%   -0.556   #>  8 2          50%   -0.136   #>  9 2          75%    0.939   #> 10 2          95%    1.42    #> 11 3          2.5%  -1.71    #> 12 3          25%   -0.621   #> 13 3          50%   -0.217   #> 14 3          75%    0.726   #> 15 3          95%    1.47"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated T Distribution Tibble — tidy_t","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"function generate n random points rt distribution user provided, df, ncp, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"","code":"tidy_t(.n = 50, .df = 1, .ncp = 0, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":".n number randomly generated points want. .df Degrees freedom, Inf allowed. .ncp Non-centrality parameter. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"function uses underlying stats::rt(), underlying p, d, q functions. information please see stats::rt()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_t.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated T Distribution Tibble — tidy_t","text":"","code":"tidy_t() #> # A tibble: 50 × 7 #>    sim_number     x       y     dx       dy      p       q #>    <fct>      <int>   <dbl>  <dbl>    <dbl>  <dbl>   <dbl> #>  1 1              1 -0.0479 -13.4  0.000151 0.485  -0.0479 #>  2 1              2  0.978  -12.2  0.00725  0.746   0.978  #>  3 1              3 -7.80   -11.0  0.00856  0.0406 -7.80   #>  4 1              4 -1.10    -9.75 0.000438 0.235  -1.10   #>  5 1              5 -2.24    -8.52 0.0136   0.134  -2.24   #>  6 1              6 -1.66    -7.30 0.0323   0.173  -1.66   #>  7 1              7  1.83    -6.07 0.0122   0.841   1.83   #>  8 1              8 17.0     -4.85 0.00694  0.981  17.0    #>  9 1              9 -1.31    -3.63 0.00835  0.208  -1.31   #> 10 1             10 -0.780   -2.40 0.0546   0.289  -0.780  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":null,"dir":"Reference","previous_headings":"","what":"Generate Tidy Data from Triangular Distribution — tidy_triangular","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"function generates tidy data triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"","code":"tidy_triangular(   .n = 50,   .min = 0,   .max = 1,   .mode = 1/2,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":".n number x values simulation. .min minimum value triangular distribution. .max maximum value triangular distribution. .mode mode (peak) value triangular distribution. .num_sims number simulations perform. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"function takes parameters triangular distribution (minimum, maximum, mode), number x values (n), number simulations (num_sims), option return result tibble (return_tibble). performs various checks input parameters ensure validity. result data frame tibble tidy data analysis.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_triangular.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Generate Tidy Data from Triangular Distribution — tidy_triangular","text":"","code":"tidy_triangular(.return_tibble = TRUE) #> # A tibble: 50 × 7 #>    sim_number     x      y       dx      dy      p      q #>    <fct>      <int>  <dbl>    <dbl>   <dbl>  <dbl>  <dbl> #>  1 1              1 0.441  -0.155   0.00198 0.389  0.441  #>  2 1              2 0.332  -0.129   0.00505 0.221  0.332  #>  3 1              3 0.753  -0.103   0.0117  0.878  0.753  #>  4 1              4 0.808  -0.0770  0.0247  0.926  0.808  #>  5 1              5 0.780  -0.0509  0.0478  0.903  0.780  #>  6 1              6 0.0936 -0.0249  0.0845  0.0175 0.0936 #>  7 1              7 0.564   0.00118 0.137   0.620  0.564  #>  8 1              8 0.590   0.0272  0.207   0.664  0.590  #>  9 1              9 0.679   0.0533  0.292   0.794  0.679  #> 10 1             10 0.743   0.0793  0.388   0.868  0.743  #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"function generate n random points uniform distribution user provided, .min .max values, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"","code":"tidy_uniform(.n = 50, .min = 0, .max = 1, .num_sims = 1, .return_tibble = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":".n number randomly generated points want. .min lower limit distribution. .max upper limit distribution .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"function uses underlying stats::runif(), underlying p, d, q functions. information please see stats::runif()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_uniform.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Uniform Distribution Tibble — tidy_uniform","text":"","code":"tidy_uniform() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.104 -0.345  0.00179 0.104 0.104 #>  2 1              2 0.399 -0.310  0.00427 0.399 0.399 #>  3 1              3 0.561 -0.276  0.00941 0.561 0.561 #>  4 1              4 0.568 -0.242  0.0191  0.568 0.568 #>  5 1              5 0.189 -0.208  0.0361  0.189 0.189 #>  6 1              6 0.533 -0.173  0.0633  0.533 0.533 #>  7 1              7 0.446 -0.139  0.104   0.446 0.446 #>  8 1              8 0.174 -0.105  0.159   0.174 0.174 #>  9 1              9 0.822 -0.0709 0.232   0.822 0.822 #> 10 1             10 0.801 -0.0367 0.322   0.801 0.801 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"function generate n random points weibull distribution user provided, .shape, .scale, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"","code":"tidy_weibull(   .n = 50,   .shape = 1,   .scale = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":".n number randomly generated points want. .shape Shape parameter defaults 0. .scale Scale parameter defaults 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"function uses underlying stats::rweibull(), underlying p, d, q functions. information please see stats::rweibull()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_weibull.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Weibull Distribution Tibble — tidy_weibull","text":"","code":"tidy_weibull() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx      dy     p     q #>    <fct>      <int> <dbl>   <dbl>   <dbl> <dbl> <dbl> #>  1 1              1 0.948 -1.17   0.00130 0.613 0.948 #>  2 1              2 1.65  -1.01   0.00448 0.807 1.65  #>  3 1              3 0.155 -0.851  0.0131  0.144 0.155 #>  4 1              4 0.508 -0.691  0.0332  0.398 0.508 #>  5 1              5 2.04  -0.530  0.0723  0.869 2.04  #>  6 1              6 0.803 -0.369  0.136   0.552 0.803 #>  7 1              7 0.889 -0.208  0.224   0.589 0.889 #>  8 1              8 1.34  -0.0469 0.322   0.737 1.34  #>  9 1              9 0.631  0.114  0.411   0.468 0.631 #> 10 1             10 0.318  0.275  0.470   0.272 0.318 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"function generate n random points zero truncated binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"","code":"tidy_zero_truncated_binomial(   .n = 50,   .size = 1,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial 0 <= prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"function uses underlying actuar::rztbinom(), underlying p, d, q functions. information please see actuar::rztbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_binomial","text":"","code":"tidy_zero_truncated_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"function generate n random points zero truncated Geometric distribution user provided, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"","code":"tidy_zero_truncated_geometric(   .n = 50,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":".n number randomly generated points want. .prob probability success trial 0 < prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"function uses underlying actuar::rztgeom(), underlying p, d, q functions. information please see actuar::rztgeom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_geometric.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Zero Truncated Geometric Distribution Tibble — tidy_zero_truncated_geometric","text":"","code":"tidy_zero_truncated_geometric() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"function generate n random points zero truncated binomial distribution user provided, .size, .prob, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"","code":"tidy_zero_truncated_negative_binomial(   .n = 50,   .size = 0,   .prob = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":".n number randomly generated points want. .size Number trials, zero . .prob Probability success trial 0 <= prob <= 1. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"function uses underlying actuar::rztnbinom(), underlying p, d, q functions. information please see actuar::rztnbinom()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_negative_binomial.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Binomial Distribution Tibble — tidy_zero_truncated_negative_binomial","text":"","code":"tidy_zero_truncated_negative_binomial() #> # A tibble: 50 × 7 #>    sim_number     x     y      dx     dy     p     q #>    <fct>      <int> <int>   <dbl>  <dbl> <dbl> <dbl> #>  1 1              1     1 -0.235  0.0109     1     1 #>  2 1              2     1 -0.184  0.0156     1     1 #>  3 1              3     1 -0.134  0.0220     1     1 #>  4 1              4     1 -0.0835 0.0305     1     1 #>  5 1              5     1 -0.0331 0.0418     1     1 #>  6 1              6     1  0.0173 0.0564     1     1 #>  7 1              7     1  0.0677 0.0749     1     1 #>  8 1              8     1  0.118  0.0981     1     1 #>  9 1              9     1  0.168  0.126      1     1 #> 10 1             10     1  0.219  0.161      1     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":null,"dir":"Reference","previous_headings":"","what":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"function generate n random points Zero Truncated Poisson distribution user provided, .lambda, number random simulations produced. function returns tibble simulation number column x column corresponds n randomly generated points, d_, p_ q_ data points well. data returned un-grouped. columns output : sim_number current simulation number. x current value n current simulation. y randomly generated data point. dx x value stats::density() function. dy y value stats::density() function. p values resulting p_ function distribution family. q values resulting q_ function distribution family.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"","code":"tidy_zero_truncated_poisson(   .n = 50,   .lambda = 1,   .num_sims = 1,   .return_tibble = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":".n number randomly generated points want. .lambda vector non-negative means. .num_sims number randomly generated simulations want. .return_tibble logical value indicating whether return result tibble. Default TRUE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"tibble randomly generated data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"function uses underlying actuar::rztpois(), underlying p, d, q functions. information please see actuar::rztpois()","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/tidy_zero_truncated_poisson.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Tidy Randomly Generated Zero Truncated Poisson Distribution Tibble — tidy_zero_truncated_poisson","text":"","code":"tidy_zero_truncated_poisson() #> # A tibble: 50 × 7 #>    sim_number     x     y     dx      dy     p     q #>    <fct>      <int> <int>  <dbl>   <dbl> <dbl> <dbl> #>  1 1              1     1 0.0786 0.00729 0.582     1 #>  2 1              2     1 0.177  0.0182  0.582     1 #>  3 1              3     1 0.276  0.0407  0.582     1 #>  4 1              4     1 0.375  0.0824  0.582     1 #>  5 1              5     2 0.474  0.150   0.873     2 #>  6 1              6     2 0.573  0.247   0.873     2 #>  7 1              7     1 0.672  0.367   0.582     1 #>  8 1              8     1 0.770  0.491   0.582     1 #>  9 1              9     2 0.869  0.594   0.873     2 #> 10 1             10     1 0.968  0.647   0.582     1 #> # ℹ 40 more rows"},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":null,"dir":"Reference","previous_headings":"","what":"Triangle Distribution PDF Plot — triangle_plot","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function generates probability density function (PDF) plot triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Triangle Distribution PDF Plot — triangle_plot","text":"","code":"triangle_plot(.data, .interactive = FALSE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Triangle Distribution PDF Plot — triangle_plot","text":".data Tidy data tidy_triangular function. .interactive logical value indicating whether return interactive plot using plotly. Default FALSE.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function returns ggplot2 object representing probability density function plot triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Triangle Distribution PDF Plot — triangle_plot","text":"function checks input data data frame tibble, comes tidy_triangular function. extracts necessary attributes plot creates PDF plot using ggplot2. plot includes data points segments represent triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Triangle Distribution PDF Plot — triangle_plot","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/triangle_plot.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Triangle Distribution PDF Plot — triangle_plot","text":"","code":"# Example: Generating a PDF plot for the triangular distribution data <- tidy_triangular(.n = 50, .min = 0, .max = 1, .mode = 1/2, .num_sims = 1, .return_tibble = TRUE) triangle_plot(data) #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row. #> Warning: All aesthetics have length 1, but the data has 3 rows. #> ℹ Please consider using `annotate()` or provide this layer with data containing #>   a single row."},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"function attempt estimate Bernoulli prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Bernoulli data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"","code":"util_bernoulli_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Bernoulli distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Bernoulli Parameters — util_bernoulli_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- tidy_bernoulli(.prob = .1) |> pull(y) output <- util_bernoulli_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size   min   max  mean variance sum_x  prob #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <dbl> #> 1 Bernoulli        50     0     1  0.08   0.0736     4  0.08  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_bernoulli_stats_tbl","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"","code":"util_bernoulli_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_bernoulli_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_bernoulli_stats_tbl","text":"","code":"library(dplyr)  tidy_bernoulli() |>   util_bernoulli_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function      <chr> \"tidy_bernoulli\" #> $ function_call      <chr> \"Bernoulli c(0.1)\" #> $ distribution       <chr> \"Bernoulli\" #> $ distribution_type  <chr> \"discrete\" #> $ points             <dbl> 50 #> $ simulations        <dbl> 1 #> $ mean               <dbl> 0.1 #> $ mode               <chr> \"0\" #> $ coeff_var          <dbl> 0.09 #> $ skewness           <dbl> 2.666667 #> $ kurtosis           <dbl> 5.111111 #> $ mad                <dbl> 0.5 #> $ entropy            <dbl> 0.325083 #> $ fisher_information <dbl> 11.11111 #> $ computed_std_skew  <dbl> 1.854852 #> $ computed_std_kurt  <dbl> 4.440476 #> $ ci_lo              <dbl> 0 #> $ ci_hi              <dbl> 1"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"function estimates parameters beta distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"","code":"util_beta_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":".x numeric vector containing data fitted beta distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"AIC value calculated based fitted beta distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"function calculates Akaike Information Criterion (AIC) beta distribution fitted provided data. Initial parameter estimates: choice initial values can impact convergence optimization. Optimization method: might explore different optimization methods within optim potentially better performance. Data transformation: Depending data, may need apply transformations (e.g., scaling [0,1] interval) fitting beta distribution. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Beta Distribution — util_beta_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rbeta(30, 1, 1) util_beta_aic(x) #> There was no need to scale the data. #> [1] 5.691712"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Beta Parameters — util_beta_param_estimate","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"function automatically scale data 0 1 already. means can pass vector like mtcars$mpg worry . function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated beta data. Three different methods shape parameters supplied: Bayes NIST mme EnvStats mme, see EnvStats::ebeta()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"","code":"util_beta_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Beta Parameters — util_beta_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"function attempt estimate beta shape1 shape2 parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Beta Parameters — util_beta_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_beta_param_estimate(x) #> For the beta distribution, its mean 'mu' should be 0 < mu < 1. The data will #> therefore be scaled to enforce this.  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean variance method       shape1 shape2 #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>         <dbl>  <dbl> #> 1 Beta             32  10.4  33.9 0.412   0.0658 Bayes         13.2   18.8  #> 2 Beta             32  10.4  33.9 0.412   0.0658 NIST_MME       1.11   1.58 #> 3 Beta             32  10.4  33.9 0.412   0.0658 EnvStats_MME   1.16   1.65 #> # ℹ 1 more variable: shape_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   tb <- rbeta(50, 2.5, 1.4) util_beta_param_estimate(tb)$parameter_tbl #> There was no need to scale the data. #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean variance method       shape1 shape2 #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>         <dbl>  <dbl> #> 1 Beta             50 0.119 0.999 0.624   0.0584 Bayes         31.2   18.8  #> 2 Beta             50 0.119 0.999 0.624   0.0584 NIST_MME       1.88   1.14 #> 3 Beta             50 0.119 0.999 0.624   0.0584 EnvStats_MME   1.93   1.17 #> # ℹ 1 more variable: shape_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_beta_stats_tbl","title":"Distribution Statistics — util_beta_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_beta_stats_tbl","text":"","code":"util_beta_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_beta_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_beta_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_beta_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_beta_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_beta_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_beta_stats_tbl","text":"","code":"library(dplyr)  tidy_beta() |>   util_beta_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_beta\" #> $ function_call     <chr> \"Beta c(1, 1, 0)\" #> $ distribution      <chr> \"Beta\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ mode              <chr> \"undefined\" #> $ range             <chr> \"0 to 1\" #> $ std_dv            <dbl> 0.2886751 #> $ coeff_var         <dbl> 0.5773503 #> $ skewness          <dbl> 0 #> $ kurtosis          <lgl> NA #> $ computed_std_skew <dbl> 0.2040789 #> $ computed_std_kurt <dbl> 1.900449 #> $ ci_lo             <dbl> 0.016034 #> $ ci_hi             <dbl> 0.9453242"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"function estimates size probability parameters binomial distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"","code":"util_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":".x numeric vector containing data fitted binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"AIC value calculated based fitted binomial distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) binomial distribution fitted provided data. function fits binomial distribution provided data. estimates size probability parameters binomial distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points size probability parameters binomial distribution. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Binomial Distribution — util_binomial_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rbinom(30, size = 10, prob = 0.2) util_binomial_aic(x) #> [1] 170.3297"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Binomial Parameters — util_binomial_param_estimate","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"function check see given vector .x either numeric vector factor vector least two levels cause error function abort. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated binomial data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"","code":"util_binomial_param_estimate(.x, .size = NULL, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .size Number trials, zero . .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"function attempt estimate binomial p_hat size parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Binomial Parameters — util_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- rbinom(50, 1, .1) output <- util_binomial_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type samp_size   min   max  mean variance method   prob  size shape_ratio #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <chr>   <dbl> <int>       <dbl> #> 1 Binomial         50     0     1  0.04   0.0392 EnvSta…  0.04    50      0.0008  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_binomial_stats_tbl","title":"Distribution Statistics — util_binomial_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_binomial_stats_tbl","text":"","code":"util_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_binomial() |>   util_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_binomial\" #> $ function_call     <chr> \"Binomial c(0, 1)\" #> $ distribution      <chr> \"Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode_lower        <dbl> 0 #> $ mode_upper        <dbl> 1 #> $ range             <chr> \"0 to 0\" #> $ std_dv            <dbl> 0 #> $ coeff_var         <dbl> NaN #> $ skewness          <dbl> -Inf #> $ kurtosis          <dbl> NaN #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Burr Parameters — util_burr_param_estimate","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"function attempt estimate Burr prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Burr data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"","code":"util_burr_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Burr Parameters — util_burr_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Burr distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Burr Parameters — util_burr_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tb <- tidy_burr(.shape1 = 1, .shape2 = 2, .rate = .3) |> pull(y) output <- util_burr_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>         <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Burr             50 0.478  32.4  4.39  0.948   2.75 0.306  3.27  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_burr_stats_tbl","title":"Distribution Statistics — util_burr_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_burr_stats_tbl","text":"","code":"util_burr_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_burr_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_burr_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_burr_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_burr_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_burr_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_burr_stats_tbl","text":"","code":"library(dplyr)  tidy_burr() |>   util_burr_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_burr\" #> $ function_call     <chr> \"Burr c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Burr\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.5 #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> -0.75 #> $ skewness          <dbl> 1.31969 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 5.950949 #> $ computed_std_kurt <dbl> 38.88792 #> $ ci_lo             <dbl> 0.03208211 #> $ ci_hi             <dbl> 41.55054"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"function estimates parameters Cauchy distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"","code":"util_cauchy_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":".x numeric vector containing data fitted Cauchy distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"AIC value calculated based fitted Cauchy distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"function calculates Akaike Information Criterion (AIC) Cauchy distribution fitted provided data. function fits Cauchy distribution provided data using maximum likelihood estimation. first estimates initial parameters Cauchy distribution using method moments. , optimizes negative log-likelihood function using provided data initial parameter estimates. Finally, calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates initial location scale parameters Cauchy distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Cauchy Distribution — util_cauchy_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rcauchy(30) util_cauchy_aic(x) #> [1] 152.304"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Cauchy Parameters — util_cauchy_param_estimate","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated cauchy data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"","code":"util_cauchy_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"function attempt estimate cauchy location scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Cauchy Parameters — util_cauchy_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_cauchy(.location = 0, .scale = 1)$y output <- util_cauchy_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size   min   max method location scale ratio #>   <chr>         <int> <dbl> <dbl> <chr>     <dbl> <dbl> <dbl> #> 1 Cauchy           50 -27.7  27.9 MASS      0.305  2.61 0.117  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_cauchy_stats_tbl","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"","code":"util_cauchy_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_cauchy_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_cauchy_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_cauchy_stats_tbl","text":"","code":"library(dplyr)  tidy_cauchy() |>   util_cauchy_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_cauchy\" #> $ function_call     <chr> \"Cauchy c(0, 1)\" #> $ distribution      <chr> \"Cauchy\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ median            <dbl> 0 #> $ mode              <dbl> 0 #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <dbl> 0 #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -6.230314 #> $ computed_std_kurt <dbl> 42.42166 #> $ ci_lo             <dbl> -18.79472 #> $ ci_hi             <dbl> 8.144057"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Chisquare Parameters — util_chisquare_param_estimate","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"function attempt estimate Chisquare prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Chisquare data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"","code":"util_chisquare_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter Chisquare distribution. function first performs tidyeval input data ensure numeric vector. checks least two data points, requirement parameter estimation. estimation chi-square distribution parameters performed using maximum likelihood estimation (MLE) implemented bbmle package. negative log-likelihood function minimized obtain estimates degrees freedom (doff) non-centrality parameter (ncp). Initial values optimization set based sample variance mean, can adjusted necessary. estimation fails encounters error, function returns NA doff ncp. Finally, function returns tibble containing following information: dist_type type distribution, \"Chisquare\" case. samp_size sample size, .e., number data points input vector. min minimum value data points. max maximum value data points. mean mean data points. degrees_of_freedom estimated degrees freedom (doff) chi-square distribution. ncp estimated non-centrality parameter (ncp) chi-square distribution. Additionally, argument .auto_gen_empirical set TRUE (default behavior), function also returns combined tibble containing empirical chi-square distribution data, obtained calling tidy_empirical tidy_chisquare, respectively.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Chisquare Parameters — util_chisquare_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tc <- tidy_chisquare(.n = 500, .df = 6, .ncp = 1) |> pull(y) output <- util_chisquare_param_estimate(tc) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced  output$parameter_tbl #> # A tibble: 1 × 7 #>   dist_type samp_size   min   max  mean   dof   ncp #>   <chr>         <int> <dbl> <dbl> <dbl> <dbl> <dbl> #> 1 Chisquare       500 0.242  23.1  6.92  6.08 0.844  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_chisquare_stats_tbl","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"","code":"util_chisquare_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_chisquare_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisquare_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_chisquare_stats_tbl","text":"","code":"library(dplyr)  tidy_chisquare() |>   util_chisquare_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_chisquare\" #> $ function_call     <chr> \"Chisquare c(1, 1)\" #> $ distribution      <chr> \"Chisquare\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ median            <dbl> 0.3333333 #> $ mode              <chr> \"undefined\" #> $ std_dv            <dbl> 1.414214 #> $ coeff_var         <dbl> 1.414214 #> $ skewness          <dbl> 2.828427 #> $ kurtosis          <dbl> 15 #> $ computed_std_skew <dbl> 1.162501 #> $ computed_std_kurt <dbl> 3.709656 #> $ ci_lo             <dbl> 0.02663531 #> $ ci_hi             <dbl> 6.90002"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"function estimates parameters chi-square distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"","code":"util_chisq_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":".x numeric vector containing data fitted chi-square distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"AIC value calculated based fitted chi-square distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"function calculates Akaike Information Criterion (AIC) chi-square distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_chisq_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Chi-Square Distribution — util_chisq_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rchisq(30, df = 3) util_chisq_aic(x) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> [1] 123.8218"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"function estimates rate parameter exponential distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"","code":"util_exponential_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":".x numeric vector containing data fitted exponential distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"AIC value calculated based fitted exponential distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"function calculates Akaike Information Criterion (AIC) exponential distribution fitted provided data. function fits exponential distribution provided data using maximum likelihood estimation. estimates rate parameter exponential distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses reciprocal mean data initial estimate rate parameter. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Exponential Distribution — util_exponential_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rexp(30) util_exponential_aic(x) #> [1] 56.42304"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Exponential Parameters — util_exponential_param_estimate","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"function attempt estimate exponential rate parameter given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated exponential data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"","code":"util_exponential_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":".x vector data passed function. Must numeric. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"function see given vector .x numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Exponential Parameters — util_exponential_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  te <- tidy_exponential(.rate = .1) |> pull(y) output <- util_exponential_param_estimate(te)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type   samp_size    min   max  mean variance method    rate #>   <chr>           <int>  <dbl> <dbl> <dbl>    <dbl> <chr>    <dbl> #> 1 Exponential        50 0.0460  45.0  8.74     66.3 NIST_MME 0.114  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_exponential_stats_tbl","title":"Distribution Statistics — util_exponential_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_exponential_stats_tbl","text":"","code":"util_exponential_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_exponential_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_exponential_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_exponential_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_exponential_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_exponential_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_exponential_stats_tbl","text":"","code":"library(dplyr)  tidy_exponential() |>   util_exponential_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_exponential\" #> $ function_call     <chr> \"Exponential c(1)\" #> $ distribution      <chr> \"Exponential\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ median            <dbl> 0.6931472 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 2 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 1.416342 #> $ computed_std_kurt <dbl> 4.982529 #> $ ci_lo             <dbl> 0.009799229 #> $ ci_hi             <dbl> 3.545823"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"function estimates parameters F distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"","code":"util_f_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":".x numeric vector containing data fitted F distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"AIC value calculated based fitted F distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"function calculates Akaike Information Criterion (AIC) F distribution fitted provided data. function fits F distribution input data using maximum likelihood estimation computes Akaike Information Criterion (AIC) based fitted distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for F Distribution — util_f_aic","text":"","code":"# Generate F-distributed data set.seed(123) x <- rf(100, df1 = 5, df2 = 10, ncp = 1)  # Calculate AIC for the generated data util_f_aic(x) #> [1] 250.9574"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate F Distribution Parameters — util_f_param_estimate","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"Estimate F Distribution Parameters","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"","code":"util_f_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":".x vector data passed function, data comes rf() function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"function attempt estimate F distribution parameters given vector values produced rf(). estimation method NIST Engineering Statistics Handbook.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate F Distribution Parameters — util_f_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- rf(100, df1 = 5, df2 = 10, ncp = 1) output <- util_f_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 10 #>   dist_type  samp_size   min   max  mean variance method df1_est df2_est ncp_est #>   <chr>          <int> <dbl> <dbl> <dbl>    <dbl> <chr>    <dbl>   <dbl>   <dbl> #> 1 F Distrib…       100 0.105  7.27  1.38     1.67 MME      0.987    7.67   0.211 #> 2 F Distrib…       100 0.105  7.27  1.38     1.67 MLE      6.28     6.83   0      output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_f_stats_tbl","title":"Distribution Statistics — util_f_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_f_stats_tbl","text":"","code":"util_f_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_f_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_f_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_f_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_f_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_f_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_f_stats_tbl","text":"","code":"library(dplyr)  tidy_f() |>   util_f_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_f\" #> $ function_call     <chr> \"F Distribution c(1, 1, 0)\" #> $ distribution      <chr> \"f\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ median            <chr> \"Not computed\" #> $ mode              <chr> \"undefined\" #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"Not computed\" #> $ computed_std_skew <dbl> 6.633205 #> $ computed_std_kurt <dbl> 45.89306 #> $ ci_lo             <dbl> 0.001643344 #> $ ci_hi             <dbl> 445.6116"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"function estimates shape scale parameters gamma distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"","code":"util_gamma_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":".x numeric vector containing data fitted gamma distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"AIC value calculated based fitted gamma distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"function calculates Akaike Information Criterion (AIC) gamma distribution fitted provided data. function fits gamma distribution provided data using maximum likelihood estimation. estimates shape scale parameters gamma distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters gamma distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Gamma Distribution — util_gamma_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rgamma(30, shape = 1) util_gamma_aic(x) #> [1] 58.11738"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Gamma Parameters — util_gamma_param_estimate","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"function attempt estimate gamma shape scale parameters given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated gamma data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"","code":"util_gamma_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":".x vector data passed function. Must numeric. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"function see given vector .x numeric vector.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Gamma Parameters — util_gamma_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tg <- tidy_gamma(.shape = 1, .scale = .3) |> pull(y) output <- util_gamma_param_estimate(tg)  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size    min   max  mean variance method shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <dbl>    <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Gamma            50 0.0153 0.968 0.283    0.232 NIST_…  1.48 0.191        7.77 #> 2 Gamma            50 0.0153 0.968 0.283    0.232 EnvSt…  1.45 0.191        7.62 #> 3 Gamma            50 0.0153 0.968 0.283    0.232 EnvSt…  1.41 0.191        7.38  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_gamma_stats_tbl","title":"Distribution Statistics — util_gamma_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_gamma_stats_tbl","text":"","code":"util_gamma_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_gamma_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_gamma_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_gamma_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_gamma_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_gamma_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_gamma_stats_tbl","text":"","code":"library(dplyr)  tidy_gamma() |>   util_gamma_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_gamma\" #> $ function_call     <chr> \"Gamma c(1, 0.3)\" #> $ distribution      <chr> \"Gamma\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 2 #> $ kurtosis          <dbl> 9 #> $ computed_std_skew <dbl> 1.060728 #> $ computed_std_kurt <dbl> 4.11779 #> $ ci_lo             <dbl> 0.008080977 #> $ ci_hi             <dbl> 0.6756027"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"function estimates shape1, shape2, shape3, rate parameters generalized Beta distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"","code":"util_generalized_beta_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":".x numeric vector containing data fitted generalized Beta distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"AIC value calculated based fitted generalized Beta distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"function calculates Akaike Information Criterion (AIC) generalized Beta distribution fitted provided data. function fits generalized Beta distribution provided data using maximum likelihood estimation. estimates shape1, shape2, shape3, rate parameters generalized Beta distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses reasonable initial estimates shape1, shape2, shape3, rate parameters generalized Beta distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Generalized Beta Distribution — util_generalized_beta_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_generalized_beta(100, .shape1 = 2, .shape2 = 3,                           .shape3 = 4, .rate = 5)[[\"y\"]] util_generalized_beta_aic(x) #> [1] -498.3238"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated generalized Beta data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"","code":"util_generalized_beta_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"function attempt estimate generalized Beta shape1, shape2, shape3, rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Generalized Beta Parameters — util_generalized_beta_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_generalized_beta(100, .shape1 = 2, .shape2 = 3, .shape3 = 4, .rate = 5)[[\"y\"]] output <- util_generalized_beta_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type        samp_size    min   max  mean shape1 shape2 shape3  rate #>   <chr>                <int>  <dbl> <dbl> <dbl>  <dbl>  <dbl>  <dbl> <dbl> #> 1 Generalized Beta       100 0.0851 0.191 0.157  0.977   7.94   8.89  4.73  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_generalized_beta_stats_tbl","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"","code":"util_generalized_beta_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"function take tibble return statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_beta_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_generalized_beta_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_generalized_beta() |>   util_generalized_beta_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_generalized_beta\" #> $ function_call     <chr> \"Generalized Beta c(1, 1, 1, 1, 1)\" #> $ distribution      <chr> \"Generalized Beta\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <chr> \"undefined\" #> $ mode              <chr> \"undefined\" #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -0.07917738 #> $ computed_std_kurt <dbl> 1.789811 #> $ ci_lo             <dbl> 0.03836872 #> $ ci_hi             <dbl> 0.9413363"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"function estimates shape1, shape2, rate parameters generalized Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"","code":"util_generalized_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":".x numeric vector containing data fitted generalized Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"AIC value calculated based fitted generalized Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) generalized Pareto distribution fitted provided data. function fits generalized Pareto distribution provided data using maximum likelihood estimation. estimates shape1, shape2, rate parameters generalized Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape1, shape2, rate parameters generalized Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Generalized Pareto Distribution — util_generalized_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- actuar::rgenpareto(100, shape1 = 1, shape2 = 2, scale = 3) util_generalized_pareto_aic(x) #> [1] 742.2865"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated generalized Pareto data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"","code":"util_generalized_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"function attempt estimate generalized Pareto shape1, shape2, rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Generalized Pareto Parameters — util_generalized_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_generalized_pareto(100, .shape1 = 1, .shape2 = 2, .scale = 3)[[\"y\"]] output <- util_generalized_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type          samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>                  <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Generalized Pareto       100 0.688  412.  21.5   1.08   5.47  1.01 0.993  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_generalized_pareto_stats_tbl","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"","code":"util_generalized_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"function take tibble return statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_generalized_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_generalized_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_generalized_pareto() |>   util_generalized_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_generalized_pareto\" #> $ function_call     <chr> \"Generalized Pareto c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Generalized Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> NaN #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 3.052568 #> $ computed_std_kurt <dbl> 11.78994 #> $ ci_lo             <dbl> 0.02512215 #> $ ci_hi             <dbl> 18.83536"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"function estimates probability parameter geometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"","code":"util_geometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":".x numeric vector containing data fitted geometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"AIC value calculated based fitted geometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"function calculates Akaike Information Criterion (AIC) geometric distribution fitted provided data. function fits geometric distribution provided data. estimates probability parameter geometric distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point probability parameter geometric distribution. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Geometric Distribution — util_geometric_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rgeom(100, prob = 0.2) util_geometric_aic(x) #> [1] 500.2433"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Geometric Parameters — util_geometric_param_estimate","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"function attempt estimate geometric prob parameter given vector values .x. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated geometric data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"","code":"util_geometric_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"function see given vector .x numeric vector. attempt estimate prob parameter geometric distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Geometric Parameters — util_geometric_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tg <- tidy_geometric(.prob = .1) |> pull(y) output <- util_geometric_param_estimate(tg)  output$parameter_tbl #> # A tibble: 2 × 9 #>   dist_type samp_size   min   max  mean variance sum_x method         shape #>   <chr>         <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <chr>          <dbl> #> 1 Geometric        50     0    44  11.9     112.   595 EnvStats_MME  0.0775 #> 2 Geometric        50     0    44  11.9     112.   595 EnvStats_MVUE 0.0761  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_geometric_stats_tbl","title":"Distribution Statistics — util_geometric_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_geometric_stats_tbl","text":"","code":"util_geometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_geometric_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_geometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_geometric_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_geometric_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_geometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_geometric_stats_tbl","text":"","code":"library(dplyr)  tidy_geometric() |>   util_geometric_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_geometric\" #> $ function_call     <chr> \"Geometric c(1)\" #> $ distribution      <chr> \"Geometric\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode              <int> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0 #> $ coeff_var         <dbl> 0 #> $ skewness          <dbl> Inf #> $ kurtosis          <dbl> Inf #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"function estimates parameters m, n, k hypergeometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"","code":"util_hypergeometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":".x numeric vector containing data fitted hypergeometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"AIC value calculated based fitted hypergeometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"function calculates Akaike Information Criterion (AIC) hypergeometric distribution fitted provided data. function fits hypergeometric distribution provided data. estimates parameters m, n, k hypergeometric distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function estimate parameters; directly calculated data. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Hypergeometric Distribution — util_hypergeometric_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rhyper(100, m = 10, n = 10, k = 5) util_hypergeometric_aic(x) #> [1] 290.7657"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"function attempt estimate geometric prob parameter given vector values .x. Estimate m, number white balls urn, m+n, total number balls urn, hypergeometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"","code":"util_hypergeometric_param_estimate(   .x,   .m = NULL,   .total = NULL,   .k,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":".x non-negative integer indicating number white balls sample size .k drawn without replacement urn. missing, undefined infinite values. .m Non-negative integer indicating number white balls urn. must supply .m .total, . missing values. .total positive integer indicating total number balls urn (.e., m+n). must supply .m .total, . missing values. .k positive integer indicating number balls drawn without replacement urn. missing values. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"function see given vector .x numeric integer. attempt estimate prob parameter geometric distribution. Missing (NA), undefined (NaN), infinite (Inf, -Inf) values allowed. Let .x observation hypergeometric distribution parameters .m = M, .n = N, .k = K. R nomenclature, .x represents number white balls drawn sample .k balls drawn without replacement urn containing .m white balls .n black balls. total number balls urn thus .m + .n. Denote total number balls T = .m + .n","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Hypergeometric Parameters — util_hypergeometric_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  th <- rhyper(10, 20, 30, 5) output <- util_hypergeometric_param_estimate(th, .total = 50, .k = 5)  output$parameter_tbl #> # A tibble: 2 × 5 #>   dist_type      samp_size method            m total #>   <chr>              <int> <chr>         <dbl> <dbl> #> 1 Hypergeometric        10 EnvStats_MLE   20.4    NA #> 2 Hypergeometric        10 EnvStats_MVUE  20      50  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_hypergeometric_stats_tbl","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"","code":"util_hypergeometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_hypergeometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_hypergeometric_stats_tbl","text":"","code":"library(dplyr)  tidy_hypergeometric() |>   util_hypergeometric_stats_tbl() |>   glimpse() #> Warning: NaNs produced #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_hypergeometric\" #> $ function_call     <chr> \"Hypergeometric c(0, 0, 0)\" #> $ distribution      <chr> \"Hypergeometric\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> NaN #> $ mode_lower        <dbl> -0.5 #> $ mode_upper        <dbl> 0.5 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> NaN #> $ coeff_var         <dbl> NaN #> $ skewness          <dbl> NaN #> $ kurtosis          <dbl> NaN #> $ computed_std_skew <dbl> NaN #> $ computed_std_kurt <dbl> NaN #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 0"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"function estimates shape1, shape2, rate parameters inverse Burr distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"","code":"util_inverse_burr_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":".x numeric vector containing data fitted inverse Burr distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"AIC value calculated based fitted inverse Burr distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Burr distribution fitted provided data. function fits inverse Burr distribution provided data using maximum likelihood estimation. estimates shape1, shape2, rate parameters inverse Burr distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape1, shape2, rate parameters inverse Burr distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Burr Distribution — util_inverse_burr_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_burr(100, .shape1 = 2, .shape2 = 3, .scale = 1)[[\"y\"]] util_inverse_burr_aic(x) #> [1] 206.2411"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"function attempt estimate inverse Burr shape1, shape2, rate parameters given vector values .x. function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Burr data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"","code":"util_inverse_burr_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"function see given vector .x numeric vector. attempt estimate shape1, shape2, rate parameters inverse Burr distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Burr Parameters — util_inverse_burr_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) tb <- tidy_burr(.shape1 = 1, .shape2 = 2, .rate = .3) |> pull(y) output <- util_inverse_burr_param_estimate(tb)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type    samp_size   min   max  mean shape1 shape2  rate scale #>   <chr>            <int> <dbl> <dbl> <dbl>  <dbl>  <dbl> <dbl> <dbl> #> 1 Inverse Burr        50 0.253  21.0  4.38  0.692   2.32 0.245  4.08  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_burr_stats_tbl","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"","code":"util_inverse_burr_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_burr_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_burr_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_inverse_burr() |>   util_inverse_burr_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_inverse_burr\" #> $ function_call     <chr> \"Inverse Burr c(1, 1, 1, 1)\" #> $ distribution      <chr> \"Inverse Burr\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0 #> $ median            <dbl> 1 #> $ coeff_var         <dbl> NaN #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 6.286574 #> $ computed_std_kurt <dbl> 42.69436 #> $ ci_lo             <dbl> 0.04476678 #> $ ci_hi             <dbl> 25.17203"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"function estimates shape scale parameters inverse Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"","code":"util_inverse_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":".x numeric vector containing data fitted inverse Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"AIC value calculated based fitted inverse Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Pareto distribution fitted provided data. function fits inverse Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters inverse Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters inverse Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Pareto Distribution — util_inverse_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_pareto(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] util_inverse_pareto_aic(x) #> [1] 555.1183"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Pareto data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"","code":"util_inverse_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"function attempt estimate inverse Pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Pareto Parameters — util_inverse_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_pareto(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_inverse_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type      samp_size    min   max method shape scale shape_ratio #>   <chr>              <int>  <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Inverse Pareto       100 0.0256  348. MLE     2.06 0.968        2.13  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_pareto_stats_tbl","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"","code":"util_inverse_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_inverse_pareto() |>   util_inverse_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_inverse_pareto\" #> $ function_call     <chr> \"Inverse Pareto c(1, 1)\" #> $ distribution      <chr> \"Inverse Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode              <dbl> 0.5 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> Inf #> $ coeff_var         <dbl> Inf #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 2.709726 #> $ computed_std_kurt <dbl> 9.148078 #> $ ci_lo             <dbl> 0.05721386 #> $ ci_hi             <dbl> 28.74933"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"function estimates shape scale parameters inverse Weibull distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"","code":"util_inverse_weibull_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":".x numeric vector containing data fitted inverse Weibull distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"AIC value calculated based fitted inverse Weibull distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"function calculates Akaike Information Criterion (AIC) inverse Weibull distribution fitted provided data. function fits inverse Weibull distribution provided data using maximum likelihood estimation. estimates shape scale parameters inverse Weibull distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters inverse Weibull distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Inverse Weibull Distribution — util_inverse_weibull_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_inverse_weibull(.n = 100, .shape = 2, .scale = 1)[[\"y\"]] util_inverse_weibull_aic(x) #> [1] 217.9124"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"","code":"util_inverse_weibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"function attempt estimate inverse Weibull shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Weibull Parameters — util_inverse_weibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_weibull(100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_inverse_weibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type       samp_size   min   max method shape scale  rate #>   <chr>               <int> <dbl> <dbl> <chr>  <dbl> <dbl> <dbl> #> 1 Inverse Weibull       100 0.372  14.7 MLE     2.11 0.967  1.03  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_inverse_weibull_stats_tbl","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"","code":"util_inverse_weibull_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_inverse_weibull_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_inverse_weibull_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_inverse_weibull() |>   util_inverse_weibull_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_inverse_weibull\" #> $ function_call     <chr> \"Inverse Weibull c(1, 1, 1)\" #> $ distribution      <chr> \"Inverse Weibull\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 7.425761 #> $ median            <dbl> 1.184009 #> $ mode              <dbl> 0.04786914 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 224.0202 #> $ coeff_var         <dbl> 30.16798 #> $ computed_std_skew <dbl> 3.186903 #> $ computed_std_kurt <dbl> 11.84056 #> $ ci_lo             <dbl> 0.274315 #> $ ci_hi             <dbl> 31.62556"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated inverse Weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"","code":"util_invweibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"function attempt estimate inverse Weibull shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_invweibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Inverse Weibull Parameters — util_invweibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- tidy_inverse_weibull(100, .shape = 2, .scale = 1)[[\"y\"]] output <- util_invweibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type       samp_size   min   max method shape scale  rate #>   <chr>               <int> <dbl> <dbl> <chr>  <dbl> <dbl> <dbl> #> 1 Inverse Weibull       100 0.372  14.7 MLE     2.11 0.967  1.03  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"function estimates location scale parameters logistic distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"","code":"util_logistic_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":".x numeric vector containing data fitted logistic distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"AIC value calculated based fitted logistic distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"function calculates Akaike Information Criterion (AIC) logistic distribution fitted provided data. function fits logistic distribution provided data using maximum likelihood estimation. estimates location scale parameters logistic distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points location scale parameters logistic distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Logistic Distribution — util_logistic_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rlogis(30) util_logistic_aic(x) #> [1] 125.0554"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Logistic Parameters — util_logistic_param_estimate","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated logistic data. Three different methods shape parameters supplied: MLE MME MMUE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"","code":"util_logistic_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"function attempt estimate logistic location scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Logistic Parameters — util_logistic_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_logistic_param_estimate(x)  output$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean basic_scale method        location scale #>   <chr>         <int> <dbl> <dbl> <dbl>       <dbl> <chr>            <dbl> <dbl> #> 1 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MME      20.1  3.27 #> 2 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MMUE     20.1  3.32 #> 3 Logistic         32  10.4  33.9  20.1        3.27 EnvStats_MLE      20.1 12.6  #> # ℹ 1 more variable: shape_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rlogis(50, 2.5, 1.4) util_logistic_param_estimate(t)$parameter_tbl #> # A tibble: 3 × 10 #>   dist_type samp_size   min   max  mean basic_scale method        location scale #>   <chr>         <int> <dbl> <dbl> <dbl>       <dbl> <chr>            <dbl> <dbl> #> 1 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MME      2.87  1.23 #> 2 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MMUE     2.87  1.24 #> 3 Logistic         50 -1.33  8.29  2.87        1.23 EnvStats_MLE      2.87  1.63 #> # ℹ 1 more variable: shape_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_logistic_stats_tbl","title":"Distribution Statistics — util_logistic_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_logistic_stats_tbl","text":"","code":"util_logistic_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_logistic_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_logistic_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_logistic_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_logistic_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_logistic_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_logistic_stats_tbl","text":"","code":"library(dplyr)  tidy_logistic() |>   util_logistic_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_logistic\" #> $ function_call     <chr> \"Logistic c(0, 1)\" #> $ distribution      <chr> \"Logistic\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.813799 #> $ coeff_var         <dbl> 3.289868 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 1.2 #> $ computed_std_skew <dbl> 0.3777211 #> $ computed_std_kurt <dbl> 3.161995 #> $ ci_lo             <dbl> -2.861982 #> $ ci_hi             <dbl> 3.233624"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"function estimates meanlog sdlog parameters log-normal distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"","code":"util_lognormal_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":".x numeric vector containing data fitted log-normal distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"AIC value calculated based fitted log-normal distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"function calculates Akaike Information Criterion (AIC) log-normal distribution fitted provided data. function fits log-normal distribution provided data using maximum likelihood estimation. estimates meanlog sdlog parameters log-normal distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points meanlog sdlog parameters log-normal distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Log-Normal Distribution — util_lognormal_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rlnorm(100, meanlog = 0, sdlog = 1) util_lognormal_aic(x) #> [1] 286.6196"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Lognormal Parameters — util_lognormal_param_estimate","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated lognormal data. Three different methods shape parameters supplied: mme, see EnvStats::elnorm() mle, see EnvStats::elnorm()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"","code":"util_lognormal_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"function attempt estimate lognormal meanlog log sd parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Lognormal Parameters — util_lognormal_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_lognormal_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method        mean_log sd_log shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>  <dbl>       <dbl> #> 1 Lognormal        32  10.4  33.9 EnvStats_MVUE     2.96  0.298        9.93 #> 2 Lognormal        32  10.4  33.9 EnvStats_MME      2.96  0.293       10.1   output$combined_data_tbl |>   tidy_combined_autoplot()   tb <- tidy_lognormal(.meanlog = 2, .sdlog = 1) |> pull(y) util_lognormal_param_estimate(tb)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method        mean_log sd_log shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>  <dbl>       <dbl> #> 1 Lognormal        50 0.948  189. EnvStats_MVUE     1.97   1.11        1.78 #> 2 Lognormal        50 0.948  189. EnvStats_MME      1.97   1.10        1.80"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_lognormal_stats_tbl","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"","code":"util_lognormal_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_lognormal_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_lognormal_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_lognormal_stats_tbl","text":"","code":"library(dplyr)  tidy_lognormal() |>   util_lognormal_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 18 #> $ tidy_function     <chr> \"tidy_lognormal\" #> $ function_call     <chr> \"Lognormal c(0, 1)\" #> $ distribution      <chr> \"Lognormal\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.648721 #> $ median            <dbl> 1 #> $ mode              <dbl> 0.3678794 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 2.161197 #> $ coeff_var         <dbl> 1.310832 #> $ skewness          <dbl> 6.184877 #> $ kurtosis          <dbl> 113.9364 #> $ computed_std_skew <dbl> 2.642107 #> $ computed_std_kurt <dbl> 10.86327 #> $ ci_lo             <dbl> 0.1948396 #> $ ci_hi             <dbl> 6.306592"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"function estimates parameters size (r) probability (prob) negative binomial distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"","code":"util_negative_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":".x numeric vector containing data fitted negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"AIC value calculated based fitted negative binomial distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) negative binomial distribution fitted provided data. function fits negative binomial distribution provided data. estimates parameters size (r) probability (prob) negative binomial distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point size (r) parameter negative binomial distribution, probability (prob) estimated based mean variance data. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Negative Binomial Distribution — util_negative_binomial_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) data <- rnbinom(n = 100, size = 5, mu = 10) util_negative_binomial_aic(data) #> [1] 600.7162"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. Three different methods shape parameters supplied: MLE/MME MMUE MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"","code":"util_negative_binomial_param_estimate(   .x,   .size = 1,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":".x vector data passed function. .size size parameter, default 1. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"function attempt estimate negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Negative Binomial Parameters — util_negative_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_negative_binomial_param_estimate(x, .size = 1)  output$parameter_tbl #> # A tibble: 3 × 9 #>   dist_type         samp_size   min   max  mean method   size   prob shape_ratio #>   <chr>                 <int> <dbl> <dbl> <dbl> <chr>   <dbl>  <dbl>       <dbl> #> 1 Negative Binomial        32    10    33  19.7 EnvSta…  32   0.0483       662   #> 2 Negative Binomial        32    10    33  19.7 EnvSta…  32   0.0469       682.  #> 3 Negative Binomial        32    10    33  19.7 MLE_Op…  26.9 0.577         46.5  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rnbinom(50, 1, .1) util_negative_binomial_param_estimate(t, .size = 1)$parameter_tbl #> # A tibble: 3 × 9 #>   dist_type         samp_size   min   max  mean method   size   prob shape_ratio #>   <chr>                 <int> <dbl> <dbl> <dbl> <chr>   <dbl>  <dbl>       <dbl> #> 1 Negative Binomial        50     0    48  9.36 EnvSt… 50     0.0965       518   #> 2 Negative Binomial        50     0    48  9.36 EnvSt… 50     0.0948       528.  #> 3 Negative Binomial        50     0    48  9.36 MLE_O…  0.901 0.0878        10.3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_negative_binomial_stats_tbl","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"","code":"util_negative_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_negative_binomial() |>   util_negative_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_negative_binomial\" #> $ function_call     <chr> \"Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 0.1234568 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 0.8953706 #> $ computed_std_kurt <dbl> 3.049842 #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 22.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"function estimates parameters normal distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"","code":"util_normal_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":".x numeric vector containing data fitted normal distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"AIC value calculated based fitted normal distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"function calculates Akaike Information Criterion (AIC) normal distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Normal Distribution — util_normal_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) data <- rnorm(30) util_normal_aic(data) #> [1] 86.97017"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated normal data. Three different methods shape parameters supplied: MLE/MME MVUE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"","code":"util_normal_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"function attempt estimate normal gaussian mean standard deviation parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Normal Gaussian Parameters — util_normal_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_normal_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method              mu stan_dev shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>            <dbl>    <dbl>       <dbl> #> 1 Gaussian         32  10.4  33.9 EnvStats_MME_MLE  20.1     5.93        3.39 #> 2 Gaussian         32  10.4  33.9 EnvStats_MVUE     20.1     6.03        3.33  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rnorm(50, 0, 1) util_normal_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method                mu stan_dev shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>              <dbl>    <dbl>       <dbl> #> 1 Gaussian         50 -2.05  2.19 EnvStats_MME_MLE -0.0937    0.952     -0.0984 #> 2 Gaussian         50 -2.05  2.19 EnvStats_MVUE    -0.0937    0.962     -0.0974"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_normal_stats_tbl","title":"Distribution Statistics — util_normal_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_normal_stats_tbl","text":"","code":"util_normal_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_normal_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_normal_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_normal_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_normal_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_normal_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_normal_stats_tbl","text":"","code":"library(dplyr)  tidy_normal() |>   util_normal_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_gaussian\" #> $ function_call     <chr> \"Gaussian c(0, 1)\" #> $ distribution      <chr> \"Gaussian\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ median            <dbl> -0.3889986 #> $ mode              <dbl> 0 #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> Inf #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 3 #> $ computed_std_skew <dbl> 0.7783038 #> $ computed_std_kurt <dbl> 2.707343 #> $ ci_lo             <dbl> -1.304932 #> $ ci_hi             <dbl> 1.987782"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"function estimates shape rate parameters paralogistic distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"","code":"util_paralogistic_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":".x numeric vector containing data fitted paralogistic distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"AIC value calculated based fitted paralogistic distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"function calculates Akaike Information Criterion (AIC) paralogistic distribution fitted provided data. function fits paralogistic distribution provided data using maximum likelihood estimation. estimates shape rate parameters paralogistic distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape rate parameters paralogistic distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Paralogistic Distribution — util_paralogistic_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_paralogistic(30, .shape = 2, .rate = 1)[[\"y\"]] util_paralogistic_aic(x) #> [1] 31.93101"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated paralogistic data. method parameter estimation : MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"","code":"util_paralogistic_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"function attempt estimate paralogistic shape rate parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Paralogistic Parameters — util_paralogistic_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_paralogistic_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type    samp_size   min   max  mean   var method shape   rate #>   <chr>            <int> <dbl> <dbl> <dbl> <dbl> <chr>  <dbl>  <dbl> #> 1 Paralogistic        32  10.4  33.9  20.1  36.3 MLE     4.14 0.0336 #> # ℹ 1 more variable: shape_rate_ratio <dbl>  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- tidy_paralogistic(50, 2.5, 1.4)[[\"y\"]] util_paralogistic_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 10 #>   dist_type    samp_size    min   max  mean    var method shape  rate #>   <chr>            <int>  <dbl> <dbl> <dbl>  <dbl> <chr>  <dbl> <dbl> #> 1 Paralogistic        50 0.0946 0.955 0.452 0.0442 MLE     2.76  1.48 #> # ℹ 1 more variable: shape_rate_ratio <dbl>"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"","code":"util_paralogistic_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_paralogistic_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Paralogistic Distribution — util_paralogistic_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_paralogistic(.n = 50, .shape = 5, .rate = 6) |>   util_paralogistic_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_paralogistic\" #> $ function_call     <chr> \"Paralogistic c(5, 6, 0.167)\" #> $ distribution      <chr> \"Paralogistic\" #> $ distribution_type <chr> \"Continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.5 #> $ mode_lower        <dbl> 1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.936492 #> $ coeff_var         <dbl> 1.290994 #> $ skewness          <dbl> 6.97137 #> $ kurtosis          <dbl> 70.8 #> $ computed_std_skew <dbl> -0.1662826 #> $ computed_std_kurt <dbl> 2.556048 #> $ ci_lo             <dbl> 0.06320272 #> $ ci_hi             <dbl> 0.1623798"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"function estimates shape scale parameters Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"","code":"util_pareto1_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":".x numeric vector containing data fitted Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"AIC value calculated based fitted Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"function calculates Akaike Information Criterion (AIC) Pareto distribution fitted provided data. function fits Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto1_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- tidy_pareto1()$y util_pareto1_aic(x) #> [1] 185.0364"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Pareto Parameters — util_pareto1_param_estimate","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"function return list output default, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Pareto data. Two different methods shape parameters supplied: LSE MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"","code":"util_pareto1_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"function attempt estimate Pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Pareto Parameters — util_pareto1_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars[[\"mpg\"]] output <- util_pareto1_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type samp_size   min   max method est_shape est_min #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> #> 1 Pareto           32  10.4  33.9 LSE         2.86    13.7 #> 2 Pareto           32  10.4  33.9 MLE         1.62    10.4  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- tidy_pareto1(.n = 100, .shape = 1.5, .min = 1)[[\"y\"]] util_pareto1_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type samp_size   min   max method est_shape est_min #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> #> 1 Pareto          100  1.00  137. LSE         1.36   0.936 #> 2 Pareto          100  1.00  137. MLE         1.52   1.00"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"","code":"util_pareto1_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto1_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Pareto1 Distribution — util_pareto1_stats_tbl","text":"","code":"library(dplyr)  tidy_pareto1() |>   util_pareto1_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_pareto_single_parameter\" #> $ function_call     <chr> \"Single Param Pareto c(1, 1)\" #> $ distribution      <chr> \"Pareto1\" #> $ distribution_type <chr> \"Continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> Inf #> $ mode_lower        <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> Inf #> $ coeff_var         <dbl> Inf #> $ skewness          <chr> \"undefined\" #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> 4.276114 #> $ computed_std_kurt <dbl> 20.46089 #> $ ci_lo             <dbl> 1.018218 #> $ ci_hi             <dbl> 88.8564"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"function estimates shape scale parameters Pareto distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"","code":"util_pareto_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":".x numeric vector containing data fitted Pareto distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"AIC value calculated based fitted Pareto distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"function calculates Akaike Information Criterion (AIC) Pareto distribution fitted provided data. function fits Pareto distribution provided data using maximum likelihood estimation. estimates shape scale parameters Pareto distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Pareto distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Pareto Distribution — util_pareto_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- TidyDensity::tidy_pareto()$y util_pareto_aic(x) #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> Warning: NaNs produced #> [1] -357.0277"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Pareto Parameters — util_pareto_param_estimate","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated pareto data. Two different methods shape parameters supplied: LSE MLE","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"","code":"util_pareto_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"function attempt estimate pareto shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Pareto Parameters — util_pareto_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_pareto_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method shape scale shape_ratio #>   <chr>         <int> <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Pareto           32  10.4  33.9 LSE     13.7  2.86        4.79 #> 2 Pareto           32  10.4  33.9 MLE     10.4  1.62        6.40  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- tidy_pareto(50, 1, 1) |> pull(y) util_pareto_param_estimate(t)$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size    min   max method  shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <chr>   <dbl> <dbl>       <dbl> #> 1 Pareto           50 0.0206  94.5 LSE    0.225  0.633      0.355  #> 2 Pareto           50 0.0206  94.5 MLE    0.0206 0.254      0.0812"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_pareto_stats_tbl","title":"Distribution Statistics — util_pareto_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_pareto_stats_tbl","text":"","code":"util_pareto_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_pareto_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_pareto_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_pareto_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_pareto_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_pareto_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_pareto_stats_tbl","text":"","code":"library(dplyr)  tidy_pareto() |>   util_pareto_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_pareto\" #> $ function_call     <chr> \"Pareto c(10, 0.1)\" #> $ distribution      <chr> \"Pareto\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0.1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 0.0124226 #> $ coeff_var         <dbl> 0.000154321 #> $ skewness          <dbl> 2.811057 #> $ kurtosis          <dbl> 14.82857 #> $ computed_std_skew <dbl> 2.313421 #> $ computed_std_kurt <dbl> 9.375681 #> $ ci_lo             <dbl> 0.0003162781 #> $ ci_hi             <dbl> 0.04447684"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"function estimates lambda parameter Poisson distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"","code":"util_poisson_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":".x numeric vector containing data fitted Poisson distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"AIC value calculated based fitted Poisson distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"function calculates Akaike Information Criterion (AIC) Poisson distribution fitted provided data. function fits Poisson distribution provided data. estimates lambda parameter Poisson distribution data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimate starting point lambda parameter Poisson distribution. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Poisson Distribution — util_poisson_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rpois(100, lambda = 2) util_poisson_aic(x) #> [1] 341.674"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Poisson Parameters — util_poisson_param_estimate","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated poisson data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"","code":"util_poisson_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"function attempt estimate pareto lambda parameter given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Poisson Parameters — util_poisson_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_poisson_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type samp_size   min   max method lambda #>   <chr>         <int> <dbl> <dbl> <chr>   <dbl> #> 1 Posson           32    10    33 MLE      19.7  output$combined_data_tbl |>   tidy_combined_autoplot()   t <- rpois(50, 5) util_poisson_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type samp_size   min   max method lambda #>   <chr>         <int> <dbl> <dbl> <chr>   <dbl> #> 1 Posson           50     2    10 MLE      5.34"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_poisson_stats_tbl","title":"Distribution Statistics — util_poisson_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_poisson_stats_tbl","text":"","code":"util_poisson_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_poisson_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_poisson_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_poisson_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_poisson_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_poisson_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_poisson_stats_tbl","text":"","code":"library(dplyr)  tidy_poisson() |>   util_poisson_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_poisson\" #> $ function_call     <chr> \"Poisson c(1)\" #> $ distribution      <chr> \"Poisson\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 1 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 1 #> $ kurtosis          <dbl> 4 #> $ computed_std_skew <dbl> 0.8697014 #> $ computed_std_kurt <dbl> 3.325356 #> $ ci_lo             <dbl> 0 #> $ ci_hi             <dbl> 2.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"function estimates parameters (size prob) ZTNB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"","code":"util_rztnbinom_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTNB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"AIC value calculated based fitted ZTNB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated negative binomial (ZTNB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"Nelder-Mead\". might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTNB distribution include zero values. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTNB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_rztnbinom_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_rztnbinom_aic","text":"","code":"library(actuar) #>  #> Attaching package: 'actuar' #> The following objects are masked from 'package:stats': #>  #>     sd, var #> The following object is masked from 'package:grDevices': #>  #>     cm  # Example data set.seed(123) x <- rztnbinom(30, size = 2, prob = 0.4)  # Calculate AIC util_rztnbinom_aic(x) #> [1] 140.8286"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"function estimates parameters triangular distribution (min, max, mode) provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"","code":"util_triangular_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":".x numeric vector containing data fitted triangular distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"AIC value calculated based fitted triangular distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"function calculates Akaike Information Criterion (AIC) triangular distribution fitted provided data. function operates several steps: Parameter Estimation: function extracts minimum, maximum, mode values data via TidyDensity::util_triangular_param_estimate function. returns initial parameters starting point optimization. Negative Log-Likelihood Calculation: custom function calculates negative log-likelihood using EnvStats::dtri function obtain density values data point. densities logged manually simulate behavior log parameter. Parameter Validation: optimization, function checks constraints min <= mode <= max met, returns infinite loss . Optimization: optimization process utilizes \"SANN\" (Simulated Annealing) method minimize negative log-likelihood find optimal parameter values. AIC Calculation: Akaike Information Criterion (AIC) calculated using optimized negative log-likelihood total number parameters (3).","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Triangular Distribution — util_triangular_aic","text":"","code":"# Example: Calculate AIC for a sample dataset set.seed(123) data <- tidy_triangular(.min = 0, .max = 1, .mode = 1/2)$y util_triangular_aic(data) #> [1] -14.39203"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Triangular Parameters — util_triangular_param_estimate","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"function attempt estimate triangular min, mode, max parameters given vector values. function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated beta data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"","code":"util_triangular_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":".x vector data passed function. Must numeric, values must 0 <= x <= 1 .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"function attempt estimate triangular min, mode, max parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Triangular Parameters — util_triangular_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- mtcars$mpg output <- util_triangular_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type  samp_size   min   max  mode method #>   <chr>          <int> <dbl> <dbl> <dbl> <chr>  #> 1 Triangular        32  10.4  33.9  33.9 Basic   output$combined_data_tbl |>   tidy_combined_autoplot()   params <- tidy_triangular()$y |>   util_triangular_param_estimate() params$parameter_tbl #> # A tibble: 1 × 6 #>   dist_type  samp_size    min   max  mode method #>   <chr>          <int>  <dbl> <dbl> <dbl> <chr>  #> 1 Triangular        50 0.0570 0.835 0.835 Basic"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_triangular_stats_tbl","title":"Distribution Statistics — util_triangular_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_triangular_stats_tbl","text":"","code":"util_triangular_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_triangular_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_triangular_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_triangular_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_triangular_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_triangular_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_triangular_stats_tbl","text":"","code":"library(dplyr)  tidy_triangular() |>   util_triangular_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 19 #> $ tidy_function     <chr> \"tidy_triangular\" #> $ function_call     <chr> \"Triangular c(0, 1, 0.5)\" #> $ distribution      <chr> \"Triangular\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ median            <dbl> 0.3535534 #> $ mode              <dbl> 1 #> $ range_low         <dbl> 0.1226216 #> $ range_high        <dbl> 0.8937389 #> $ variance          <dbl> 0.04166667 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> -0.6 #> $ entropy           <dbl> -0.6931472 #> $ computed_std_skew <dbl> 0.140758 #> $ computed_std_kurt <dbl> 2.149377 #> $ ci_lo             <dbl> 0.1410972 #> $ ci_hi             <dbl> 0.856655"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"function estimates parameters t distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"","code":"util_t_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":".x numeric vector containing data fitted t distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"AIC value calculated based fitted t distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"function calculates Akaike Information Criterion (AIC) t distribution fitted provided data. function fits t distribution input data using maximum likelihood estimation computes Akaike Information Criterion (AIC) based fitted distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for t Distribution — util_t_aic","text":"","code":"# Generate t-distributed data set.seed(123) x <- rt(100, df = 5, ncp = 0.5)  # Calculate AIC for the generated data util_t_aic(x) #> [1] 305.77"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate t Distribution Parameters — util_t_param_estimate","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"Estimate t Distribution Parameters","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"","code":"util_t_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":".x vector data passed function, data comes rt() function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"function attempt estimate t distribution parameters given vector values produced rt(). estimation method uses method moments maximum likelihood estimation.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate t Distribution Parameters — util_t_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  set.seed(123) x <- rt(100, df = 10, ncp = 0.5) output <- util_t_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 7 #>   dist_type      samp_size  mean variance method df_est ncp_est #>   <chr>              <int> <dbl>    <dbl> <chr>   <dbl>   <dbl> #> 1 T Distribution       100 0.612    0.949 MME     0.959   0.612 #> 2 T Distribution       100 0.612    0.949 MLE     8.32    0.571  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_t_stats_tbl","title":"Distribution Statistics — util_t_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_t_stats_tbl","text":"","code":"util_t_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_t_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_t_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_t_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_t_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_t_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_t_stats_tbl","text":"","code":"library(dplyr)  tidy_t() |>   util_t_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_t\" #> $ function_call     <chr> \"T Distribution c(1, 0)\" #> $ distribution      <chr> \"t\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0 #> $ median            <dbl> 0 #> $ mode              <dbl> 0 #> $ std_dv            <chr> \"undefined\" #> $ coeff_var         <chr> \"undefined\" #> $ skewness          <dbl> 0 #> $ kurtosis          <chr> \"undefined\" #> $ computed_std_skew <dbl> -1.486799 #> $ computed_std_kurt <dbl> 9.047857 #> $ ci_lo             <dbl> -12.75805 #> $ ci_hi             <dbl> 5.389358"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"function estimates min max parameters uniform distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"","code":"util_uniform_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":".x numeric vector containing data fitted uniform distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"AIC value calculated based fitted uniform distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"function calculates Akaike Information Criterion (AIC) uniform distribution fitted provided data. function fits uniform distribution provided data. estimates min max parameters uniform distribution range data. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses minimum maximum values data starting points min max parameters uniform distribution. Optimization method: Since parameters directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Uniform Distribution — util_uniform_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- runif(30) util_uniform_aic(x) #> [1] 1.061835"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Uniform Parameters — util_uniform_param_estimate","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated uniform data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"","code":"util_uniform_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"function attempt estimate uniform min max parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Uniform Parameters — util_uniform_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_uniform(.min = 1, .max = 3)$y output <- util_uniform_param_estimate(x)  output$parameter_tbl #> # A tibble: 2 × 8 #>   dist_type samp_size   min   max method   min_est max_est ratio #>   <chr>         <int> <dbl> <dbl> <chr>      <dbl>   <dbl> <dbl> #> 1 Uniform          50  1.00  2.93 NIST_MME   0.955    2.88 0.332 #> 2 Uniform          50  1.00  2.93 NIST_MLE   1        3    0.333  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_uniform_stats_tbl","title":"Distribution Statistics — util_uniform_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_uniform_stats_tbl","text":"","code":"util_uniform_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_uniform_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_uniform_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_uniform_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_uniform_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_uniform_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_uniform_stats_tbl","text":"","code":"library(dplyr)  tidy_uniform() |>   util_uniform_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_uniform\" #> $ function_call     <chr> \"Uniform c(0, 1)\" #> $ distribution      <chr> \"Uniform\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.5 #> $ median            <dbl> 0.5 #> $ std_dv            <dbl> 0.2886751 #> $ coeff_var         <dbl> 0.5773503 #> $ skewness          <dbl> 0 #> $ kurtosis          <dbl> 1.8 #> $ computed_std_skew <dbl> 0.04720379 #> $ computed_std_kurt <dbl> 2.005722 #> $ ci_lo             <dbl> 0.08443236 #> $ ci_hi             <dbl> 0.887634"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"function estimates shape scale parameters Weibull distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"","code":"util_weibull_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":".x numeric vector containing data fitted Weibull distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"AIC value calculated based fitted Weibull distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"function calculates Akaike Information Criterion (AIC) Weibull distribution fitted provided data. function fits Weibull distribution provided data using maximum likelihood estimation. estimates shape scale parameters Weibull distribution using maximum likelihood estimation. , calculates AIC value based fitted distribution. Initial parameter estimates: function uses method moments estimates starting points shape scale parameters Weibull distribution. Optimization method: function uses optim function optimization. might explore different optimization methods within optim potentially better performance. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Weibull Distribution — util_weibull_aic","text":"","code":"# Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rweibull(100, shape = 2, scale = 1) util_weibull_aic(x) #> [1] 119.1065"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Weibull Parameters — util_weibull_param_estimate","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated weibull data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"","code":"util_weibull_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"function attempt estimate weibull shape scale parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Weibull Parameters — util_weibull_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- tidy_weibull(.shape = 1, .scale = 2)$y output <- util_weibull_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type samp_size    min   max method shape scale shape_ratio #>   <chr>         <int>  <dbl> <dbl> <chr>  <dbl> <dbl>       <dbl> #> 1 Weibull          50 0.0622  6.09 NIST    1.13  1.83       0.621  output$combined_data_tbl %>%   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_weibull_stats_tbl","title":"Distribution Statistics — util_weibull_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_weibull_stats_tbl","text":"","code":"util_weibull_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_weibull_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_weibull_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_weibull_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_weibull_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_weibull_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_weibull_stats_tbl","text":"","code":"library(dplyr)  tidy_weibull() |>   util_weibull_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 16 #> $ tidy_function     <chr> \"tidy_weibull\" #> $ function_call     <chr> \"Weibull c(1, 1)\" #> $ distribution      <chr> \"Weibull\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.054851 #> $ median            <dbl> 0.7263866 #> $ mode              <dbl> 0 #> $ range             <chr> \"0 to Inf\" #> $ std_dv            <dbl> 1.015938 #> $ coeff_var         <dbl> 1.032131 #> $ computed_std_skew <dbl> 1.857905 #> $ computed_std_kurt <dbl> 6.190366 #> $ ci_lo             <dbl> 0.01805123 #> $ ci_hi             <dbl> 4.377121"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"Computes distribution statistics zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":".data data zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"tibble distribution statistics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"function computes statistics zero-truncated negative binomial distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncaetd_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncaetd_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_negative_binomial(.size = 1, .prob = 0.1) |>  util_zero_truncated_negative_binomial_stats_tbl() |>  glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_negative_binomial\" #> $ function_call     <chr> \"Zero Truncated Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 1.111111 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 0.9984757 #> $ computed_std_kurt <dbl> 3.866868 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 27.1"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"function estimates parameters (size prob) ZTB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"","code":"util_zero_truncated_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"AIC value calculated based fitted ZTB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated binomial (ZTB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"L-BFGS-B,\" allows box constraints keep parameters within valid bounds. might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTB distribution include zero values. Additionally, values .x less equal estimated size parameter. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Binomial Distribution — util_zero_truncated_binomial_aic","text":"","code":"# Example data set.seed(123) x <- tidy_zero_truncated_binomial(30, .size = 10, .prob = 0.4)[[\"y\"]]  # Calculate AIC util_zero_truncated_binomial_aic(x) #> [1] 116.5688"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"","code":"util_zero_truncated_binomial_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"function attempt estimate zero truncated binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Binomial Parameters — util_zero_truncated_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  x <- as.integer(mtcars$mpg) output <- util_zero_truncated_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type               samp_size   min   max  mean method     size  prob #>   <chr>                       <int> <dbl> <dbl> <dbl> <chr>     <dbl> <dbl> #> 1 Zero-Truncated Binomial        32    10    33  19.7 MLE_Optim    33 0.597  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- tidy_zero_truncated_binomial(100, 10, .1)[[\"y\"]] util_zero_truncated_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type               samp_size   min   max  mean method     size  prob #>   <chr>                       <int> <dbl> <dbl> <dbl> <chr>     <dbl> <dbl> #> 1 Zero-Truncated Binomial       100     1     4  1.53 MLE_Optim  4.00 0.500"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"Returns distribution statistics tibble Zero Truncated Binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"","code":"util_zero_truncated_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero Truncated Binomial Distribution — util_zero_truncated_binomial_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_zero_truncated_binomial(.size = 10, .prob = 0.1) |>   util_zero_truncated_binomial_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 15 #> $ tidy_function     <chr> \"tidy_zero_truncated_binomial\" #> $ function_call     <chr> \"Zero Truncated Binomial c(10, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1.58 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to 4\" #> $ std_dv            <dbl> 0.8103917 #> $ coeff_var         <dbl> 0.5129061 #> $ computed_std_skew <dbl> 1.133051 #> $ computed_std_kurt <dbl> 3.212143 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"function estimates probability parameter Zero-Truncated Geometric distribution provided data calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"","code":"util_zero_truncated_geometric_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":".x numeric vector containing data fitted Zero-Truncated Geometric distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"AIC value calculated based fitted Zero-Truncated Geometric distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"function calculates Akaike Information Criterion (AIC) Zero-Truncated Geometric distribution fitted provided data. function fits Zero-Truncated Geometric distribution provided data. estimates probability parameter using method moments calculates AIC value. Optimization method: Since parameter directly calculated data, optimization needed. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen model using visualization statistical tests.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Geometric Distribution — util_zero_truncated_geometric_aic","text":"","code":"library(actuar) #>  #> Attaching package: 'actuar' #> The following objects are masked from 'package:stats': #>  #>     sd, var #> The following object is masked from 'package:grDevices': #>  #>     cm  # Example: Calculate AIC for a sample dataset set.seed(123) x <- rztgeom(100, prob = 0.2) util_zero_truncated_geometric_aic(x) #> [1] 492.3338"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"function estimate prob parameter Zero-Truncated Geometric distribution given vector .x. function returns list parameter table, .auto_gen_empirical set TRUE, empirical data combined estimated distribution data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"","code":"util_zero_truncated_geometric_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":".x vector data passed function. Must contain non-negative integers zeros. .auto_gen_empirical Boolean value (default TRUE) , set TRUE, generate tidy_empirical() output .x combine estimated distribution data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"function attempt estimate prob parameter Zero-Truncated Geometric distribution using given vector .x input data. parameter .auto_gen_empirical set TRUE, empirical data .x run tidy_empirical() function combined estimated zero-truncated geometric data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero-Truncated Geometric Parameters — util_zero_truncated_geometric_param_estimate","text":"","code":"library(actuar) library(dplyr) library(ggplot2) library(actuar)  set.seed(123) ztg <- rztgeom(100, prob = 0.2) output <- util_zero_truncated_geometric_param_estimate(ztg)  output$parameter_tbl #> # A tibble: 1 × 9 #>   dist_type              samp_size   min   max  mean variance sum_x method  prob #>   <chr>                      <int> <dbl> <dbl> <dbl>    <dbl> <dbl> <chr>  <dbl> #> 1 Zero-Truncated Geomet…       100     1    16  4.78     13.5   478 Momen… 0.209  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"Returns distribution statistics Zero-Truncated Geometric distribution tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"","code":"util_zero_truncated_geometric_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":".data data passed tidy_ztgeom distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"function takes tibble generated tidy_ztgeom distribution function returns relevant statistics Zero-Truncated Geometric distribution. requires data passed tidy_ztgeom distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_geometric_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Geometric — util_zero_truncated_geometric_stats_tbl","text":"","code":"library(dplyr)  set.seed(123) tidy_zero_truncated_geometric(.prob = 0.1) |>   util_zero_truncated_geometric_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_geometric\" #> $ function_call     <chr> \"Zero Truncated Geometric c(0.1)\" #> $ distribution      <chr> \"Zero Truncated Geometric\" #> $ distribution_type <chr> \"continuous\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 10 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 9.486833 #> $ coeff_var         <dbl> 0.9486833 #> $ skewness          <dbl> 2.213594 #> $ kurtosis          <dbl> 5.788889 #> $ computed_std_skew <dbl> 1.101906 #> $ computed_std_kurt <dbl> 3.712366 #> $ ci_lo             <dbl> 1.225 #> $ ci_hi             <dbl> 30.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"function estimates parameters (size prob) ZTNB distribution provided data using maximum likelihood estimation (via optim() function), calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"","code":"util_zero_truncated_negative_binomial_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":".x numeric vector containing data (non-zero counts) fitted ZTNB distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"AIC value calculated based fitted ZTNB distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated negative binomial (ZTNB) distribution fitted provided data. Initial parameter estimates: choice initial values size prob can impact convergence optimization. Consider using prior knowledge method moments estimates obtain reasonable starting values. Optimization method: default optimization method used \"Nelder-Mead\". might explore optimization methods available optim() potentially better performance different constraint requirements. Data requirements: input data .x consist non-zero counts, ZTNB distribution include zero values. Goodness--fit: AIC useful metric model comparison, recommended also assess goodness--fit chosen ZTNB model using visualization (e.g., probability plots, histograms) statistical tests (e.g., chi-square goodness--fit test) ensure adequately describes data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for Zero-Truncated Negative Binomial Distribution — util_zero_truncated_negative_binomial_aic","text":"","code":"library(actuar)  # Example data set.seed(123) x <- rztnbinom(30, size = 2, prob = 0.4)  # Calculate AIC util_zero_truncated_negative_binomial_aic(x) #> [1] 140.8286"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"","code":"util_zero_truncated_negative_binomial_param_estimate(   .x,   .auto_gen_empirical = TRUE )"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"function attempt estimate zero truncated negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Negative Binomial Parameters — util_zero_truncated_negative_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2) library(actuar)  x <- as.integer(mtcars$mpg) output <- util_zero_truncated_negative_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…        32    10    33  19.7 MLE_O…  26.9 0.577  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- rztnbinom(100, 10, .1) util_zero_truncated_negative_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…       100    22   183  89.6 MLE_O…  10.7 0.107"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"Computes distribution statistics zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"","code":"util_zero_truncated_negative_binomial_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":".data data zero-truncated negative binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"tibble distribution statistics.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"function computes statistics zero-truncated negative binomial distribution.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_negative_binomial_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics for Zero-Truncated Negative Binomial — util_zero_truncated_negative_binomial_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_negative_binomial(.size = 1, .prob = 0.1) |>  util_zero_truncated_negative_binomial_stats_tbl() |>  glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_negative_binomial\" #> $ function_call     <chr> \"Zero Truncated Negative Binomial c(1, 0.1)\" #> $ distribution      <chr> \"Zero Truncated Negative Binomial\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 0.1111111 #> $ mode_lower        <dbl> 0 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 0.3513642 #> $ coeff_var         <dbl> 1.111111 #> $ skewness          <dbl> 3.478505 #> $ kurtosis          <dbl> 14.1 #> $ computed_std_skew <dbl> 1.397478 #> $ computed_std_kurt <dbl> 4.148819 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 32.775"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":null,"dir":"Reference","previous_headings":"","what":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"function estimates parameters zero-truncated poisson distribution provided data using maximum likelihood estimation, calculates AIC value based fitted distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"","code":"util_zero_truncated_poisson_aic(.x)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":".x numeric vector containing data fitted zero-truncated poisson distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"AIC value calculated based fitted zero-truncated poisson distribution provided data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"function calculates Akaike Information Criterion (AIC) zero-truncated poisson distribution fitted provided data.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_aic.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Calculate Akaike Information Criterion (AIC) for zero-truncated poisson Distribution — util_zero_truncated_poisson_aic","text":"","code":"library(actuar)  # Example 1: Calculate AIC for a sample dataset set.seed(123) x <- rztpois(30, lambda = 3) util_zero_truncated_poisson_aic(x) #> [1] 123.8552"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"function attempt estimate Zero Truncated Poisson lambda parameter given vector values .x. function return tibble output, parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated Zero Truncated Poisson data.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"","code":"util_zero_truncated_poisson_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":".x vector data passed function. Must non-negative integers. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"function estimates parameter lambda Zero-Truncated Poisson distribution based vector non-negative integer values .x. Zero-Truncated Poisson distribution discrete probability distribution models number events occurring fixed interval time, given least one event occurred. estimation performed minimizing negative log-likelihood observed data .x Zero-Truncated Poisson model. negative log-likelihood function used optimization defined : $$-\\sum_{=1}^{n} \\log(P(X_i = x_i \\mid X_i > 0, \\lambda))$$ \\( X_i \\) observed values .x lambda parameter Zero-Truncated Poisson distribution. optimization process uses optim function find value lambda minimizes negative log-likelihood. chosen optimization method Brent's method (method = \"Brent\") within specified interval [0, max(.x)]. .auto_gen_empirical set TRUE, function generate empirical data statistics using tidy_empirical() input data .x combine empirical data estimated Zero-Truncated Poisson distribution using tidy_combine_distributions(). combined data can accessed via $combined_data_tbl element function output. function returns tibble containing estimated parameter lambda along summary statistics input data (sample size, minimum, maximum).","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Poisson Parameters — util_zero_truncated_poisson_param_estimate","text":"","code":"library(dplyr) library(ggplot2)  tc <- tidy_zero_truncated_poisson() |> pull(y) output <- util_zero_truncated_poisson_param_estimate(tc)  output$parameter_tbl #> # A tibble: 1 × 5 #>   dist_type              samp_size   min   max lambda #>   <chr>                      <int> <dbl> <dbl>  <dbl> #> 1 Zero Truncated Poisson        50     1     4  0.997  output$combined_data_tbl |>   tidy_combined_autoplot()"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":null,"dir":"Reference","previous_headings":"","what":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"Returns distribution statistics tibble.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"","code":"util_zero_truncated_poisson_stats_tbl(.data)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":".data data passed tidy_ distribution function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"tibble","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"function take tibble returns statistics given type tidy_ distribution. required data passed tidy_ distribution function.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_zero_truncated_poisson_stats_tbl.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Distribution Statistics — util_zero_truncated_poisson_stats_tbl","text":"","code":"library(dplyr)  tidy_zero_truncated_poisson() |>   util_zero_truncated_poisson_stats_tbl() |>   glimpse() #> Rows: 1 #> Columns: 17 #> $ tidy_function     <chr> \"tidy_zero_truncated_poisson\" #> $ function_call     <chr> \"Zero Truncated Poisson c(1)\" #> $ distribution      <chr> \"Zero Truncated Poisson\" #> $ distribution_type <chr> \"discrete\" #> $ points            <dbl> 50 #> $ simulations       <dbl> 1 #> $ mean              <dbl> 1 #> $ mode              <dbl> 1 #> $ range             <chr> \"1 to Inf\" #> $ std_dv            <dbl> 1 #> $ coeff_var         <dbl> 1 #> $ skewness          <dbl> 1 #> $ kurtosis          <dbl> 4 #> $ computed_std_skew <dbl> 1.19783 #> $ computed_std_kurt <dbl> 3.517986 #> $ ci_lo             <dbl> 1 #> $ ci_hi             <dbl> 3"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":null,"dir":"Reference","previous_headings":"","what":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"function return list output default,  parameter .auto_gen_empirical set TRUE empirical data given parameter .x run tidy_empirical() function combined estimated negative binomial data. One method estimating parameters done via: MLE via optim function.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"ref-usage","dir":"Reference","previous_headings":"","what":"Usage","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"","code":"util_ztn_binomial_param_estimate(.x, .auto_gen_empirical = TRUE)"},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"arguments","dir":"Reference","previous_headings":"","what":"Arguments","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":".x vector data passed function. .auto_gen_empirical boolean value TRUE/FALSE default set TRUE. automatically create tidy_empirical() output .x parameter use tidy_combine_distributions(). user can plot data using $combined_data_tbl function output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"value","dir":"Reference","previous_headings":"","what":"Value","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"tibble/list","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"details","dir":"Reference","previous_headings":"","what":"Details","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"function attempt estimate zero truncated negative binomial size prob parameters given vector values.","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"author","dir":"Reference","previous_headings":"","what":"Author","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"Steven P. Sanderson II, MPH","code":""},{"path":"https://www.spsanderson.com/TidyDensity/reference/util_ztn_binomial_param_estimate.html","id":"ref-examples","dir":"Reference","previous_headings":"","what":"Examples","title":"Estimate Zero Truncated Negative Binomial Parameters — util_ztn_binomial_param_estimate","text":"","code":"library(dplyr) library(ggplot2) library(actuar)  x <- as.integer(mtcars$mpg) output <- util_ztn_binomial_param_estimate(x)  output$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…        32    10    33  19.7 MLE_O…  26.9 0.577  output$combined_data_tbl |>   tidy_combined_autoplot()   set.seed(123) t <- rztnbinom(100, 10, .1) util_ztn_binomial_param_estimate(t)$parameter_tbl #> # A tibble: 1 × 8 #>   dist_type                       samp_size   min   max  mean method  size  prob #>   <chr>                               <int> <dbl> <dbl> <dbl> <chr>  <dbl> <dbl> #> 1 Zero-Truncated Negative Binomi…       100    22   183  89.6 MLE_O…  10.7 0.107"},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-150","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.5.0","title":"TidyDensity 1.5.0","text":"CRAN release: 2024-05-28","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-5-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.5.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-5-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.5.0","text":"Fix #468 - Add function util_negative_binomial_aic() calculate AIC negative binomial distribution. Fix #470 - Add function util_zero_truncated_negative_binomial_param_estimate() estimate parameters zero-truncated negative binomial distribution. Add function util_zero_truncated_negative_binomial_aic() calculate AIC zero-truncated negative binomial distribution. Add function util_zero_truncated_negative_binomial_stats_tbl() create summary table zero-truncated negative binomial distribution. Fix #471 - Add function util_zero_truncated_poisson_param_estimate() estimate parameters zero-truncated Poisson distribution. Add function util_zero_truncated_poisson_aic() calculate AIC zero-truncated Poisson distribution. Add function util_zero_truncated_poisson_stats_tbl() create summary table zero-truncated Poisson distribution. Fix #472 - Add function util_f_param_estimate() util_f_aic() estimate parameters calculate AIC F distribution. Fix #482 - Add function util_zero_truncated_geometric_param_estimate() estimate parameters zero-truncated geometric distribution. Add function util_zero_truncated_geometric_aic() calculate AIC zero-truncated geometric distribution. Add function util_zero_truncated_geometric_stats_tbl() create summary table zero-truncated geometric distribution. Fix #481 - Add function util_triangular_aic() calculate AIC triangular distribution. Fix #480 - Add function util_t_param_estimate() estimate parameters T distribution. Add function util_t_aic() calculate AIC T distribution. Fix #479 - Add function util_pareto1_param_estimate() estimate parameters Pareto Type distribution. Add function util_pareto1_aic() calculate AIC Pareto Type distribution. Add function util_pareto1_stats_tbl() create summary table Pareto Type distribution. Fix #478 - Add function util_paralogistic_param_estimate() estimate parameters paralogistic distribution. Add function util_paralogistic_aic() calculate AIC paralogistic distribution. Add fnction util_paralogistic_stats_tbl() create summary table paralogistic distribution. Fix #477 - Add function util_inverse_weibull_param_estimate() estimate parameters Inverse Weibull distribution. Add function util_inverse_weibull_aic() calculate AIC Inverse Weibull distribution. Add function util_inverse_weibull_stats_tbl() create summary table Inverse Weibull distribution. Fix #476 - Add function util_inverse_pareto_param_estimate() estimate parameters Inverse Pareto distribution. Add function util_inverse_pareto_aic() calculate AIC Inverse Pareto distribution. Add Function util_inverse_pareto_stats_tbl() create summary table Inverse Pareto distribution. Fix #475 - Add function util_inverse_burr_param_estimate() estimate parameters Inverse Gamma distribution. Add function util_inverse_burr_aic() calculate AIC Inverse Gamma distribution. Add function util_inverse_burr_stats_tbl() create summary table Inverse Gamma distribution. Fix #474 - Add function util_generalized_pareto_param_estimate() estimate parameters Generalized Pareto distribution. Add function util_generalized_pareto_aic() calculate AIC Generalized Pareto distribution. Add function util_generalized_pareto_stats_tbl() create summary table Generalized Pareto distribution. Fix #473 - Add function util_generalized_beta_param_estimate() estimate parameters Generalized Gamma distribution. Add function util_generalized_beta_aic() calculate AIC Generalized Gamma distribution. Add function util_generalized_beta_stats_tbl() create summary table Generalized Gamma distribution. Fix #469 - Add function util_zero_truncated_binomial_stats_tbl() create summary table Zero Truncated binomial distribution. Add function util_zero_truncated_binomial_param_estimate() estimate parameters Zero Truncated binomial distribution. Add function util_zero_truncated_binomial_aic() calculate AIC Zero Truncated binomial distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-improvements-and-fixes-1-5-0","dir":"Changelog","previous_headings":"","what":"Minor Improvements and Fixes","title":"TidyDensity 1.5.0","text":"Fix #468 - Update util_negative_binomial_param_estimate() add use optim() parameter estimation. Fix #465 - Add names columns .return_tibble = TRUE quantile_normalize()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-140","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.4.0","title":"TidyDensity 1.4.0","text":"CRAN release: 2024-04-26","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-4-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.4.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-4-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.4.0","text":"Fix #405 - Add function quantile_normalize() normalize data using quantiles. Fix #409 - Add function check_duplicate_rows() check duplicate rows data frame. Fix #414 - Add function util_chisquare_param_estimate() estimate parameters chi-square distribution. Fix #417 - Add function tidy_mcmc_sampling() sample distribution using MCMC. outputs function sampled data diagnostic plot. Fix #421 - Add functions util_dist_aic() functions calculate AIC distribution.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-4-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.4.0","text":"Fix #401 - Update tidy_multi_single_dist() respect .return_tibble parameter Fix #406 - Update tidy_multi_single_dist() exclude .return_tibble parameter returning distribution parameters. Fix #413 - Update documentation include mcmc applicable. Fix #240 - Update tidy_distribution_comparison() include new AIC calculations dedicated util_dist_aic() functions.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-130","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.3.0","title":"TidyDensity 1.3.0","text":"CRAN release: 2024-01-09","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-3-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.3.0","text":"Fix #350 - caused function tidy_multi_single_dist() modified now requires user pass parameter .return_tibbl either TRUE FALSE introduced tidy_ distribution functions now use data.table hood generate data. Fix #371 - Modify code use native |> pipe instead %>% caused need update minimum R version 4.1.0","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-3-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.3.0","text":"Fix #360 - Add function tidy_triangular() Fix #361 - Add function util_triangular_param_estimate() Fix #362 - Add function util_triangular_stats_tbl() Fix #364 - Add function triangle_plot() Fix #363 - Add triangular tidy_autoplot()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-3-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.3.0","text":"Fix #372 #373 - Update cvar() csd() vectorized approach @kokbent speeds 100x Fix #350 - Update tidy_ distribution functions generate data using data.table many instances resulted speed 30% . Fix #379 - Replace use dplyr::cur_data() deprecated dplyr favor using dplyr::pick() Fix #381 - Add tidy_triangular() autoplot functions. Fix #385 - tidy_multi_dist_autoplot() .plot_type = \"quantile\" work. Fix #383 - Update autoplot functions use linewidth instead size. Fix #375 - Update cskewness() take advantage vectorization speedup 124x faster. Fix #393 - Update ckurtosis() vectorization improve speed 121x per benchmark testing.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-126","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.6","title":"TidyDensity 1.2.6","text":"CRAN release: 2023-10-30","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-6","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.6","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-6","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.6","text":"Fix #351 - Add function convert_to_ts() convert tidy_ distribution time series either ts format tibble can also set wide long using .pivot_longer set TRUE .ret_ts set FALSE Fix #348 - Add function util_burr_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-6","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.6","text":"Fix #344 - Fix util_burr_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-125","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.5","title":"TidyDensity 1.2.5","text":"CRAN release: 2023-05-19","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-5","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.5","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-5","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.5","text":"Fix #333 - Add function util_burr_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-5","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.5","text":"Fix #335 - Update function tidy_distribution_comparison() add parameter .round_to_place allows user round parameter estimates passed corresponding distribution parameters. Fix #336 - Update logo name logo.png","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-124","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.4","title":"TidyDensity 1.2.4","text":"CRAN release: 2022-11-16","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-4","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.4","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-4","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.4","text":"Fix #302 - Add function tidy_bernoulli() Fix #304 - Add function util_bernoulli_param_estimate() Fix #305 - Add function util_bernoulli_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-4","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.4","text":"Fix #291 - Update tidy_stat_tbl() fix tibble output longer ignores passed arguments fix data.table directly pass … arguments. Fix #295 - Drop warning message passing arguments .use_data_table = TRUE Fix #303 - Add tidy_bernoulli() autoplot. Fix #299 - Update tidy_stat_tbl() Fix #309 - Add function internal use drop dependency stringr. Function dist_type_extractor() used several functions library. Fix #310 - Update combine-multi-dist use dist_type_extractor() Fix #311 - Update util_dist_stats_tbl() functions use dist_type_extractor() Fix #316 - Update autoplot functions tidy_bernoulli() Fix #312 - Update random walk function use dist_type_extractor() Fix #314 - Update tidy_stat_tbl() use dist_type_extractor() Fix #301 - Fix p q calculations.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-123","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.3","title":"TidyDensity 1.2.3","text":"CRAN release: 2022-10-04","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-3","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.3","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-3","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.3","text":"Fix #237 - Add function bootstrap_density_augment() Fix #238 - Add functions bootstrap_p_vec() bootstrap_p_augment() Fix #239 - Add functions bootstrap_q_vec() bootstrap_q_augment() Fix #256 #257 #258 #260 #265 #266 #267 #268 - Add functions cmean() chmean() cgmean() cmedian() csd() ckurtosis() cskewness() cvar() Fix #250 - Add function bootstrap_stat_plot() Fix #276 - Add function tidy_stat_tbl() Fix #281 adds parameter .user_data_table set FALSE default. set TRUE use [data.table::melt()] underlying work speeding output benchmark test regular tibble 72 seconds data.table. 15 seconds.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-3","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.3","text":"Fix #242 - Fix prop check tidy_bootstrap() Fix #247 - Add attributes bootstrap_density_augment() output.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-122","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.2","title":"TidyDensity 1.2.2","text":"CRAN release: 2022-08-10","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-2","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.2","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-2","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.2","text":"Fix #229 - Add tidy_normal() list tested distributions. Add AIC linear model metric, add stats::ks.test() metric.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-2","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.2","text":"Fix #228 - Add ks.test distribution comparison. Fix #227 - Add AIC normal distribution comparison.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-121","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.1","title":"TidyDensity 1.2.1","text":"CRAN release: 2022-07-19","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvments-1-2-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvments","title":"TidyDensity 1.2.1","text":"Fix #210 - Fix param_grid order internal affected attributes thus display order parameters. Fix #211 - Add High Low CI tidy_distribution_summary_tbl() Fix #213 - Use purrr::compact() list distributions passed order prevent issue occurring #212 Fix #212 - Make tidy_distribution_comparison() robust terms handling bad erroneous data. Fix #216 - Add attribute “tibble_type” tidy_multi_single_dist() helps work functions like tidy_random_walk()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-120","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.2.0","title":"TidyDensity 1.2.0","text":"CRAN release: 2022-06-08","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-2-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.2.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-2-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.2.0","text":"Fix #181 - Add functions color_blind() td_scale_fill_colorblind() td_scale_color_colorblind() Fix #187 - Add functions ci_lo() ci_hi() Fix #189 - Add function tidy_bootstrap() Fix #190 - Add function bootstrap_unnest_tbl() Fix #202 - Add function tidy_distribution_comparison()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-2-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.2.0","text":"Fix #176 - Update _autoplot functions include cumulative mean MCMC chart taking advantage .num_sims parameter tidy_ distribution functions. Fix #184 - Update tidy_empirical() add parameter .distribution_type Fix #183 - tidy_empirical() now plotted _autoplot functions. Fix #188 - Add .num_sims parameter tidy_empirical() Fix #196 - Add ci_lo() ci_hi() stats tbl functions. Fix #201 - Correct attribute distribution_family_type discrete tidy_geometric()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-110","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.1.0","title":"TidyDensity 1.1.0","text":"CRAN release: 2022-05-06","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-1-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.1.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-1-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.1.0","text":"Fix #119 - Add function tidy_four_autoplot() - auto plot density, qq, quantile probability plots single graph. Fix #125 - Add function util_weibull_param_estimate() Fix #126 - Add function util_uniform_param_estimate() Fix #127 - Add function util_cauchy_param_estimate() Fix #130 - Add function tidy_t() - Also add plotting functions. Fix #151 - Add function tidy_mixture_density() Fix #150 - Add function util_geometric_stats_tbl() Fix #149 - Add function util_hypergeometric_stats_tbl() Fix #148 - Add function util_logistic_stats_tbl() Fix #147 - Add function util_lognormal_stats_tbl() Fix #146 - Add function util_negative_binomial_stats_tbl() Fix #145 - Add function util_normal_stats_tbl() Fix #144 - Add function util_pareto_stats_tbl() Fix #143 - Add function util_poisson_stats_tbl() Fix #142 - Add function util_uniform_stats_tbl() Fix #141 - Add function util_cauchy_stats_tbl() Fix #140 - Add function util_t_stats_tbl() Fix #139 - Add function util_f_stats_tbl() Fix #138 - Add function util_chisquare_stats_tbl() Fix #137 - Add function util_weibull_stats_tbl() Fix #136 - Add function util_gamma_stats_tbl() Fix #135 - Add function util_exponential_stats_tbl() Fix #134 - Add function util_binomial_stats_tbl() Fix #133 - Add function util_beta_stats_tbl()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-1-0","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.1.0","text":"Fix #110 - Bug fix, correct p calculation tidy_poisson() now produce correct probability chart auto plot functions. Fix #112 - Bug fix, correct p calculation tidy_hypergeometric() produce correct probability chart auto plot functions. Fix #115 - Fix spelling Quantile chart. Fix #117 - Fix probability plot x axis label. Fix #118 - Fix fill color combined auto plot Fix #122 - tidy_distribution_summary_tbl() function take output tidy_multi_single_dist() Fix #166 - Change plotting functions ggplot2::xlim(0, max_dy) ggplot2::ylim(0, max_dy) Fix #169 - Fix computation q column Fix #170 - Fix graphing quantile chart due #169","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-101","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.0.1","title":"TidyDensity 1.0.1","text":"CRAN release: 2022-03-27","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-0-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.0.1","text":"Fix #91 - Bug fix, change tidy_gamma() parameter .rate .scale Fixtidy_autoplot_functions incorporate change. Fixutil_gamma_param_estimate()sayscaleinstead ofrate` returned estimated parameters.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-0-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.0.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-1-0-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 1.0.1","text":"Fix #90 - Make sure .geom_smooth set TRUE ggplot2::xlim(0, max_dy) set. Fix #100 - tidy_multi_single_dist() failed distribution single parameter like tidy_poisson() Fix #96 - Enhance tidy_ distribution functions add attribute either discrete continuous helps autoplot process. Fix #97 - Enhance tidy_autoplot() use histogram lines density plot depending distribution discrete continuous. Fix #99 - Enhance tidy_multi_dist_autoplot() use histogram lines density plot depending distribution discrete continuous.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-100","dir":"Changelog","previous_headings":"","what":"TidyDensity 1.0.0","title":"TidyDensity 1.0.0","text":"CRAN release: 2022-03-08","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-1-0-0","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 1.0.0","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-1-0-0","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 1.0.0","text":"Fix #27 - Add function tidy_binomial() Fix #32 - Add function tidy_geometric() Fix #33 - Add function tidy_negative_binomial() Fix #34 - Add function tidy_zero_truncated_poisson() Fix #35 - Add function tidy_zero_truncated_geometric() Fix #36 - Add function tidy_zero_truncated_binomial() Fix #37 - Add function tidy_zero_truncated_negative_binomial() Fix #41 - Add function tidy_pareto1() Fix #42 - Add function tidy_pareto() Fix #43 - Add function tidy_inverse_pareto() Fix #58 - Add function tidy_random_walk() Fix #60 - Add function tidy_random_walk_autoplot() Fix #47 - Add function tidy_generalized_pareto() Fix #44 - Add function tidy_paralogistic() Fix #38 - Add function tidy_inverse_exponential() Fix #45 - Add function tidy_inverse_gamma() Fix #46 - Add function tidy_inverse_weibull() Fix #48 - Add function tidy_burr() Fix #49 - Add function tidy_inverse_burr() Fix #50 - Add function tidy_inverse_normal() Fix #51 - Add function tidy_generalized_beta() Fix #26 - Add function tidy_multi_single_dist() Fix #62 - Add function tidy_multi_dist_autoplot() Fix #66 - Add function tidy_combine_distributions() Fix #69 - Add functions tidy_kurtosis_vec(), tidy_skewness_vec(), tidy_range_statistic() Fix #75 - Add function util_beta_param_estimate() Fix #76 - Add function util_binomial_param_estimate() Fix #77 - Add function util_exponential_param_estimate() Fix #78 - Add function util_gamma_param_estimate() Fix #79 - Add function util_geometric_param_estimate() Fix #80 - Add function util_hypergeometric_param_estimate() Fix #81 - Add function util_lognormal_param_estimate() Fix #89 - Add function tidy_scale_zero_one_vec() Fix #87 - Add function tidy_combined_autoplot() Fix #82 - Add function util_logistic_param_estimate() Fix #83 - Add function util_negative_binomial_param_estimate() Fix #84 - Add function util_normal_param_estimate() Fix #85 - Add function util_pareto_param_estimate() Fix #86 - Add function util_poisson_param_estimate()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"fixes-and-minor-improvements-1-0-0","dir":"Changelog","previous_headings":"","what":"Fixes and Minor Improvements","title":"TidyDensity 1.0.0","text":"Fix #30 - Move crayon, rstudioapi, cli Suggests Imports due pillar longer importing. Fix #52 - Add parameter .geom_rug tidy_autoplot() function Fix #54 - Add parameter .geom_point tidy_autoplot() function Fix #53 - Add parameter .geom_smooth tidy_autoplot() function Fix #55 - Add parameter .geom_jitter tidy_autoplot() function Fix #57 - Fix tidy_autoplot() distribution tidy_empirical() legend argument fail. Fix #56 - Add attributes .n .num_sims (1L now) tidy_empirical() Fix #61 - Update _pkgdown.yml file update site. Fix #67 - Add param_grid, param_grid_txt, dist_with_params attributes tidy_ distribution functions. Fix #70 - Add ... grouping parameter tidy_distribution_summary_tbl() Fix #88 - Make column dist_type factor tidy_combine_distributions()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"tidydensity-001","dir":"Changelog","previous_headings":"","what":"TidyDensity 0.0.1","title":"TidyDensity 0.0.1","text":"CRAN release: 2022-01-21","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-0-0-1","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 0.0.1","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-0-0-1","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 0.0.1","text":"Fix #1 - Add function tidy_normal() Fix #4 - Add function tidy_gamma() Fix #5 - Add function tidy_beta() Fix #6 - Add function tidy_poisson() Fix #2 - Add function tidy_autoplot() Fix #11 - Add function tidy_distribution_summary_tbl() Fix #10 - Add function tidy_empirical() Fix #13 - Add function tidy_uniform() Fix #14 - Add function tidy_exponential() Fix #15 - Add function tidy_logistic() Fix #16 - Add function tidy_lognormal() Fix #17 - Add function tidy_weibull() Fix #18 - Add function tidy_chisquare() Fix #19 - Add function tidy_cauchy() Fix #20 - Add function tidy_hypergeometric() Fix #21 - Add function tidy_f()","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"minor-fixes-and-improvements-0-0-1","dir":"Changelog","previous_headings":"","what":"Minor Fixes and Improvements","title":"TidyDensity 0.0.1","text":"None","code":""},{"path":[]},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"breaking-changes-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"Breaking Changes","title":"TidyDensity 0.0.0.9000","text":"None","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"new-features-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"New Features","title":"TidyDensity 0.0.0.9000","text":"Added NEWS.md file track changes package.","code":""},{"path":"https://www.spsanderson.com/TidyDensity/news/index.html","id":"fixes-and-minor-improvements-0-0-0-9000","dir":"Changelog","previous_headings":"","what":"Fixes and Minor Improvements","title":"TidyDensity 0.0.0.9000","text":"None","code":""}]