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z-+6MRjRcj?31k!P?OaQ80tPUO~cC;WQDDA9u0lx0D|_tq@BX-&GksriPS_S~PX(E$b&6+3=)W4m9^i8=8+3@~qofX1|NUc{d3eS+Y=e!v@ryA@g) zr%mg#l~fZx(Pz77l~|;nhtQeAu3afo^{R5-i1|$gbzot;YNGK?OV$!6gc2jd93v{l zHt9`^2?VMoBIKnyUh7$)>@ZsQrB_wM0N-MvOTaUNQ`01B_lI3oN%+?H?mNMo8dFOi zI#oAI9^fNeC9Lm3>Q?j%L9oZ7@&Eo0a&k6sbar<%F@% +group_by(west.germany, year, west.germany.size) %>% +summarise(GDP = mean(gdp)) +ggplot(data = data.to.plot.average, +aes(x = year, y = GDP, +group = west.germany, +color = west.germany)) + +geom_line(size = 1.5) + +labs(color = "West Germany?")+ +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 1000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(0, 30000)) + +ggsave(paste0("figures/germanyaverage.pdf"), +width = 15, height = 10, units = 'cm') +data.to.plot.average$west.germany[data.to.plot.average$west.germany == "Not West Germany"] <- "Average of Other OECD Countries" +ggplot(data = data.to.plot.average, +aes(x = year, y = GDP, +group = west.germany, +color = west.germany)) + +geom_line(size = 1.5) + +labs(color = "West Germany?")+ +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 1000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(0, 30000)) + +ggsave(paste0("figures/germanyaverage2.pdf"), +width = 15, height = 10, units = 'cm') +# SYNTHETIC UNIT - Weights +# Figure 4 +data.to.plot.synthetic <- data.to.plot.average +synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$GDP[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$west.germany[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" +ggplot(data = data.to.plot.synthetic, +aes(x = year, y = GDP, +group = west.germany, +color = west.germany)) + +geom_line(size = 1.5) + +labs(color = "West Germany?")+ +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 1000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(0, 30000)) + +ggsave(paste0("figures/germanysynth.pdf"), +width = 15, height = 10, units = 'cm') +# SYNTHETIC UNIT - Regression +# Figure 8 +data.to.plot.synth.reg <- data.to.plot.average +synthY0.reg <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$GDP[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$west.germany[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" +ggplot(data = data.to.plot.synth.reg, +aes(x = year, y = GDP, +group = west.germany, +color = west.germany)) + +geom_line(size = 1.5) + +labs(color = "West Germany?")+ +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 1000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(0, 30000)) + +ggsave(paste0("figures/germanysynthreg.pdf"), +width = 15, height = 10, units = 'cm') +# Gap +# Figure 5 +gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.gap <- data.to.plot.synthetic +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "West Germany"] <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "Synthetic West Germany"] <- 0 +ggplot(data = data.to.plot.gap, +aes(x = year, y = GDP, +group = west.germany, +color = west.germany)) + +geom_line(size = 1.5) + +labs(color = "West Germany?")+ +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 1000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(-5000, 5000)) + +ggsave(paste0("figures/germanygap.pdf"), +width = 15, height = 10, units = 'cm') +# loop across control units +storegaps <- +matrix(NA, +length(1960:2003), +length(unique(d$index))-1 +) +rownames(storegaps) <- 1960:2003 +i <- 1 +co <- unique(d$index) +for(k in unique(d$index)[-7]){ +# data prep for training model +dataprep.out <- +dataprep( +foo = d, +predictors = c("gdp","trade","infrate"), +dependent = "gdp", +unit.variable = 1, +time.variable = 3, +special.predictors = list( +list("industry",1971:1980, c("mean")), +list("schooling" ,c(1970,1975), c("mean")), +list("invest70" ,1980, c("mean")) +), +treatment.identifier = k, +controls.identifier = co[-which(co==k)], +time.predictors.prior = 1971:1989, +time.optimize.ssr = 1971:1990, +unit.names.variable = 2, +time.plot = 1960:2003 +) +# fit training model +synth.out <- +synth( +data.prep.obj=dataprep.out, +Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 +) +# data prep for main model +dataprep.out <- +dataprep( +foo = d, +predictors = c("gdp","trade","infrate"), +dependent = "gdp", +unit.variable = 1, +time.variable = 3, +special.predictors = list( +list("industry" ,1981:1990, c("mean")), +list("schooling",c(1980,1985), c("mean")), +list("invest80" ,1980, c("mean")) +), +treatment.identifier = k, +controls.identifier = co[-which(co==k)], +time.predictors.prior = 1960:1990, +time.optimize.ssr = 1960:1989, +unit.names.variable = 2, +time.plot = 1960:2003 +) +# fit main model +synth.out <- synth( +data.prep.obj=dataprep.out, +custom.v=as.numeric(synth.out$solution.v) +) +storegaps[,i] <- +dataprep.out$Y1- +(dataprep.out$Y0%*%synth.out$solution.w) +i <- i + 1 +} # close loop over control units +d <- d[order(d$index,d$year),] +colnames(storegaps) <- unique(d$country)[-7] +storegaps <- cbind(gap,storegaps) +colnames(storegaps)[1] <- c("West Germany") +# Placebo gaps +# Figure 6 +sgaps <- as.data.frame(storegaps) +sgaps$year <- rownames(sgaps) +sgaps <- reshape2::melt(sgaps,id.vars = "year") +sgaps$west.germany <- ifelse(sgaps$variable == "West Germany", "West Germany", "Not West Germany") +sgaps$west.germany.size <- ifelse(sgaps$west.germany == "West Germany", "1","2") +sgaps$year <- as.numeric(sgaps$year) +data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") +ggplot(data = sgaps, aes(x = year, y = value, +group = variable, +color = west.germany, +linetype = west.germany.size)) + +geom_line() + +labs(color = "West Germany?")+ +guides(linetype = FALSE) + +theme_bw(base_size = 10) + +theme(legend.position = "bottom") + +geom_vline(xintercept = 1990, +color = "#88419d") + +annotate("text", x = 1985, +label="Reunification", y = 4000, +colour = "#88419d", alpha = 0.8, angle = 0) + +scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", +labels = comma_format(big.mark = ",", +decimal.mark = ".")) + +scale_color_manual(values = graphcolors) + +coord_cartesian(ylim = c(-5000, 5000)) + +ggsave(paste0("figures/allrmspe.pdf"), +width = 15, height = 10, units = 'cm') +# Figure 7 +# compute ratio of post-reunification RMSPE +# to pre-reunification RMSPE +rmse <- function(x){sqrt(mean(x^2))} +preloss <- apply(storegaps[1:30,],2,rmse) +postloss <- apply(storegaps[31:44,],2,rmse) +prepost <- sort(postloss/preloss) +prepost <- t(t(prepost)) +prepost <- data.frame(Country = rownames(prepost), RMSPE = prepost) +rownames(prepost) <- NULL +prepost$Country <- factor(prepost$Country, +levels = prepost$Country[order(prepost$RMSPE)]) +prepost$west.germany <- ifelse(prepost$Country== "West Germany", "West Germany", "Not West Germany") +ggplot(prepost, aes(x = Country, y = RMSPE)) + +geom_point(stat = 'identity', size = 6, aes(color = west.germany)) + +theme_bw(base_size = 10) + +coord_flip() + +ylab("Post-Period RMSE / Pre-Period RMSE") + +scale_color_manual(values = graphcolors) + +guides(color = FALSE) + +ggsave(paste0("figures/RMSPERatio.pdf"), +width = 15, height = 10, units = 'cm') diff --git a/presentations/Synthetic Control/replication_files_btsa/MANIFEST.TXT b/presentations/Synthetic Control/replication_files_btsa/MANIFEST.TXT new file mode 100755 index 0000000..a0fa0bd --- /dev/null +++ b/presentations/Synthetic Control/replication_files_btsa/MANIFEST.TXT @@ -0,0 +1,2 @@ +rep.r (text/plain; charset=US-ASCII) 19136 bytes. +repgermany.dta (application/x-stata) 44468 bytes. diff --git a/presentations/Synthetic Control/replication_files_btsa/rep_for_btsa.R b/presentations/Synthetic Control/replication_files_btsa/rep_for_btsa.R new file mode 100644 index 0000000..745fc44 --- /dev/null +++ b/presentations/Synthetic Control/replication_files_btsa/rep_for_btsa.R @@ -0,0 +1,474 @@ +## Replication Code for +# A. Abadie, A. Diamond, and J. Hainmueller. 2014. +# Comparative Politics and the Synthetic Control Method +# American Journal of Political Science. +# Original source for the code and the data: +# https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/24714 +# This version for the Berlin Time Series Analysis Meet-up + +library(foreign) +library("Synth") +library(xtable) +library(ggplot2) +library(scales) +library(tidyverse) +# Load Data +d <- read.dta("repgermany.dta") + + +# Data set-up + countrytosynthetise <- 7 + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = countrytosynthetise, + controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], + time.predictors.prior = 1971:1989, + time.optimize.ssr = 1971:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = countrytosynthetise, + controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], + time.predictors.prior = 1960:1989, + time.optimize.ssr = 1960:1990, + unit.names.variable = 2, + time.plot = 1960:2003 +) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + +#### Table 2 +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out + ); synth.tables + +# Replace means for OECD sample (computed externally using proper pop weighting) +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" +rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") + +xtable(round(synth.tables$tab.pred,1),digits=1) + +#### Table 1 +# synth weights +tab1 <- data.frame(synth.tables$tab.w) +tab1[,1] <- round(tab1[,1],2) +# regression weights +X0 <- cbind(1,t(dataprep.out$X0)) +X1 <- as.matrix(c(1,dataprep.out$X1)) +W <- X0%*%solve(t(X0)%*%X0)%*%X1 +Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), + regression.w=round(W,2)) +tab1 <- merge(tab1,Wdat,by="unit.numbers") +tab1 <- tab1[order(tab1[,3]),] + + +# Table 1 +xtable(cbind(tab1[1:9,c(3,2,4)], + tab1[10:18,c(3,2,4)] + ) + ) + +#### Figures 1, 2 and 3 +data.to.plot <- data.frame(year = rownames(dataprep.out$Y1plot), + west.germany = dataprep.out$Y1plot[, 1]) + +data.to.plot <- as.data.frame(d[,c("gdp","country", "year" )]) +data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") +data.to.plot$west.germany.size <- ifelse(data.to.plot$west.germany == "West Germany", "1","2") +graphcolors <- c("#999999", "#ef8a62") + + +table(data.to.plot$country, data.to.plot$west.germany.size) + + +## PLOT WITH ONLY WEST GERMANY +ggplot(data = data.to.plot[data.to.plot$west.germany == "West Germany",], aes(x = year, y = gdp, + group = country, + color = west.germany, + linetype = west.germany.size)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + guides(linetype = FALSE, color = FALSE) + + theme_bw(base_size = 15) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="\nReunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = c("#ef8a62")) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germany.pdf"), + # width = 15, height = 10, units = 'cm') + + + +## PLOT WITH WEST GERMANY AND ALL THE OTHER COUNTRIES +ggplot(data = data.to.plot, aes(x = year, y = gdp, + group = country, + color = west.germany, + linetype = west.germany.size)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + guides(linetype = FALSE) + + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanynotgermany.pdf"), + # width = 15, height = 10, units = 'cm') + + +## PLOT WITH WEST GERMANY AND THE AVERAGE FROM OTHER COUNTRIES +data.to.plot.average <- data.to.plot %>% + group_by(west.germany, year, west.germany.size) %>% + summarise(GDP = mean(gdp)) + +ggplot(data = data.to.plot.average, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanyaverage.pdf"), + # width = 15, height = 10, units = 'cm') + + + +data.to.plot.average$west.germany[data.to.plot.average$west.germany == "Not West Germany"] <- "Average of Other OECD Countries" + +ggplot(data = data.to.plot.average, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanyaverage2.pdf"), + # width = 15, height = 10, units = 'cm') + + + + +# SYNTHETIC UNIT - Weights +# Figure 4 +data.to.plot.synthetic <- data.to.plot.average + +synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$GDP[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$west.germany[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" + + +ggplot(data = data.to.plot.synthetic, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanysynth.pdf"), + # width = 15, height = 10, units = 'cm') + + + +# SYNTHETIC UNIT - Regression +# Figure 8 +data.to.plot.synth.reg <- data.to.plot.average + +synthY0.reg <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$GDP[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$west.germany[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" + + +ggplot(data = data.to.plot.synth.reg, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanysynthreg.pdf"), + # width = 15, height = 10, units = 'cm') + + + +# Gap +# Figure 5 +gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) + +data.to.plot.gap <- data.to.plot.synthetic +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "West Germany"] <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) + +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "Synthetic West Germany"] <- 0 + + +ggplot(data = data.to.plot.gap, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(-5000, 5000)) #+ + #ggsave(paste0("figures/germanygap.pdf"), + # width = 15, height = 10, units = 'cm') + + + + +# loop across control units +storegaps <- + matrix(NA, + length(1960:2003), + length(unique(d$index))-1 + ) +rownames(storegaps) <- 1960:2003 +i <- 1 +co <- unique(d$index) + +for(k in unique(d$index)[-7]){ + + # data prep for training model + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1971:1989, + time.optimize.ssr = 1971:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + + # data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1960:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + + storegaps[,i] <- + dataprep.out$Y1- + (dataprep.out$Y0%*%synth.out$solution.w) + i <- i + 1 +} # close loop over control units +d <- d[order(d$index,d$year),] +colnames(storegaps) <- unique(d$country)[-7] +storegaps <- cbind(gap,storegaps) +colnames(storegaps)[1] <- c("West Germany") + + + +# Placebo gaps +# Figure 6 +sgaps <- as.data.frame(storegaps) +sgaps$year <- rownames(sgaps) +sgaps <- reshape2::melt(sgaps,id.vars = "year") + + +sgaps$west.germany <- ifelse(sgaps$variable == "West Germany", "West Germany", "Not West Germany") +sgaps$west.germany.size <- ifelse(sgaps$west.germany == "West Germany", "1","2") + +sgaps$year <- as.numeric(sgaps$year) + +data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") +ggplot(data = sgaps, aes(x = year, y = value, + group = variable, + color = west.germany, + linetype = west.germany.size)) + + geom_line() + + labs(color = "West Germany?")+ + guides(linetype = FALSE) + + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 4000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(-5000, 5000)) #+ + #ggsave(paste0("figures/allrmspe.pdf"), + # width = 15, height = 10, units = 'cm') + + + + + + + +# Figure 7 +# compute ratio of post-reunification RMSPE +# to pre-reunification RMSPE +rmse <- function(x){sqrt(mean(x^2))} +preloss <- apply(storegaps[1:30,],2,rmse) +postloss <- apply(storegaps[31:44,],2,rmse) +prepost <- sort(postloss/preloss) +prepost <- t(t(prepost)) + +prepost <- data.frame(Country = rownames(prepost), RMSPE = prepost) +rownames(prepost) <- NULL +prepost$Country <- factor(prepost$Country, + levels = prepost$Country[order(prepost$RMSPE)]) + + +prepost$west.germany <- ifelse(prepost$Country== "West Germany", "West Germany", "Not West Germany") + +ggplot(prepost, aes(x = Country, y = RMSPE)) + + geom_point(stat = 'identity', size = 6, aes(color = west.germany)) + + theme_bw(base_size = 10) + + coord_flip() + + ylab("Post-Period RMSE / Pre-Period RMSE") + + scale_color_manual(values = graphcolors) + + guides(color = FALSE) #+ + #ggsave(paste0("figures/RMSPERatio.pdf"), + # width = 15, height = 10, units = 'cm') + + + + + diff --git a/presentations/Synthetic Control/replication_files_btsa/rep_original.r b/presentations/Synthetic Control/replication_files_btsa/rep_original.r new file mode 100755 index 0000000..f1b77a1 --- /dev/null +++ b/presentations/Synthetic Control/replication_files_btsa/rep_original.r @@ -0,0 +1,640 @@ +## Replication Code for +# A. Abadie, A. Diamond, and J. Hainmueller. 2014. +# Comparative Politics and the Synthetic Control Method +# American Journal of Political Science. + +rm(list=ls()) +library(foreign) +library("Synth") +library(xtable) + +# Load Data +d <- read.dta("repgermany.dta") + +## Table 1 & 2, Figure 1, 2, & 3 + +## pick v by cross-validation +# data setup for training model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 +) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + +#### Table 2 +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out + ); synth.tables + +# Replace means for OECD sample (computed externally using proper pop weighting) +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" +rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") + +xtable(round(synth.tables$tab.pred,1),digits=1) + +#### Table 1 +# synth weights +tab1 <- data.frame(synth.tables$tab.w) +tab1[,1] <- round(tab1[,1],2) +# regression weights +X0 <- cbind(1,t(dataprep.out$X0)) +X1 <- as.matrix(c(1,dataprep.out$X1)) +W <- X0%*%solve(t(X0)%*%X0)%*%X1 +Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), + regression.w=round(W,2)) +tab1 <- merge(tab1,Wdat,by="unit.numbers") +tab1 <- tab1[order(tab1[,3]),] + +xtable(cbind(tab1[1:9,c(3,2,4)], + tab1[10:18,c(3,2,4)] + ) + ) + +#### Figure 1: Trends in Per-Capita GDP: West Germany vs. Rest of the OECD Sample +Text.height <- 23000 +Cex.set <- .8 +#pdf(file = "ger_vs_oecd.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:2003,aggregate(d[,c("gdp")],by=list(d$year),mean,na.rm=T)[,2] + ,col="black",lty="dashed",lwd=2) # mean 2 +abline(v=1990,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","rest of the OECD sample") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1987,Text.height,1989,Text.height,col="black",length=.1) +text(1982.5,Text.height,"reunification",cex=Cex.set) +#dev.off() + +#### Figure 2: Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany +#pdf(file = "ger_vs_synthger2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) +abline(v=1990,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1987,Text.height,1989,Text.height,col="black",length=.1) +text(1982.5,Text.height,"reunification",cex=Cex.set) +#dev.off() + +### Figure 3: Per-Capita GDP Gap Between West Germany and Synthetic West Germany +#pdf(file = "ger_vs_synthger_gaps2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) +plot(1960:2003,gap, + type="l",ylim=c(-4500,4500),col="black",lty="solid", + ylab =c("gap in per-capita GDP (PPP, 2002 USD)"), + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +abline(v=1990,lty="dotted") +abline(h=0,lty="dotted") +arrows(1987,1000,1989,1000,col="black",length=.1) +text(1982.5,1000,"reunification",cex=Cex.set) +#dev.off() + +### Figure 4: Placebo Reunification 1975 - Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany + +# data prep for training model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971, c("mean")), + list("schooling",c(1960,1965), c("mean")), + list("invest60" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1960:1964, + time.optimize.ssr = 1965:1975, + unit.names.variable = 2, + time.plot = 1960:1990 + ) + +# fit training model +synth.out <- synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 +) + + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1971:1975, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1965:1975, + time.optimize.ssr = 1960:1975, + unit.names.variable = 2, + time.plot = 1960:1990 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) +) + +Cex.set <- 1 +#pdf(file = "2intimeplacebo1975.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:1990,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:1990,(dataprep.out$Y0%*%synth.out$solution.w),col="black",lty="dashed",lwd=2) +abline(v=1975,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1973,20000,1974.5,20000,col="black",length=.1) +text(1967.5,20000,"placebo reunification",cex=Cex.set) +#dev.off() + + +### Figure 5: Ratio of post-reunification RMSPE to pre-reunification RMSPE: West Germany and control countries. + +# loop across control units +storegaps <- + matrix(NA, + length(1960:2003), + length(unique(d$index))-1 + ) +rownames(storegaps) <- 1960:2003 +i <- 1 +co <- unique(d$index) + +for(k in unique(d$index)[-7]){ + + # data prep for training model + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + + # data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + + storegaps[,i] <- + dataprep.out$Y1- + (dataprep.out$Y0%*%synth.out$solution.w) + i <- i + 1 +} # close loop over control units +d <- d[order(d$index,d$year),] +colnames(storegaps) <- unique(d$country)[-7] +storegaps <- cbind(gap,storegaps) +colnames(storegaps)[1] <- c("West Germany") + +# compute ratio of post-reunification RMSPE +# to pre-reunification RMSPE +rmse <- function(x){sqrt(mean(x^2))} +preloss <- apply(storegaps[1:30,],2,rmse) +postloss <- apply(storegaps[31:44,],2,rmse) + +#pdf("2ratio_post_to_preperiod_rmse2a.pdf") +dotchart(sort(postloss/preloss), + xlab="Post-Period RMSE / Pre-Period RMSE", + pch=19) +#dev.off() + +### Figure 6: Leave-one-out distribution of the synthetic control for West Germany + +# loop over leave one outs +storegaps <- + matrix(NA, + length(1960:2003), + 5) +colnames(storegaps) <- c(1,3,9,12,14) +co <- unique(d$index)[-7] + +for(k in 1:5){ + +# data prep for training model +omit <- c(1,3,9,12,14)[k] + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = co[-which(co==omit)], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = co[-which(co==omit)], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit main model + synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + storegaps[,k] <- (dataprep.out$Y0%*%synth.out$solution.w) +} # close loop over leave one outs + +Text.height <- 23000 +Cex.set <- .8 +#pdf(file = "1jackknife2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i",lwd=2 + ) + +abline(v=1990,lty="dotted") +arrows(1987,23000,1989,23000,col="black",length=.1) + for(i in 1:5){ + lines(1960:2003,storegaps[,i],col="darkgrey",lty="solid") + } +lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) +lines(1960:2003,dataprep.out$Y1plot,col="black",lty="solid",lwd=2) +text(1982.5,23000,"reunification",cex=.8) +legend(x="bottomright", + legend=c("West Germany", + "synthetic West Germany", + "synthetic West Germany (leave-one-out)") + ,lty=c("solid","dashed","solid"), + col=c("black","black","darkgrey") + ,cex=.8,bg="white",lwdc(2,2,1)) +#dev.off() + + +### Table 3: Synthetic Weights from Combinations of Control Countries +rm(list=ls()) +library(gtools) +library(kernlab) + +# data prep for training model +d <- read.dta("repgermany.dta") +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) +) + +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out +) + +table3 <- list() +synth.tables$tab.w[,1] <- round(synth.tables$tab.w[,1],2) +table3[[5]] <-synth.tables$tab.w[order(-1*synth.tables$tab.w[,1]),2:1][1:5,] + +# compute loss for all combinations +# of 4, 3, 2, 1 sized donor pools + +# get W and v +solution.w <- round(synth.out$solution.w,3) +V <- diag(as.numeric(synth.out$solution.v)) + +# compute scaled Xs +nvarsV <- dim(dataprep.out$X0)[1] +big.dataframe <- cbind(dataprep.out$X0, dataprep.out$X1) +divisor <- sqrt(apply(big.dataframe, 1, var)) +scaled.matrix <- + t(t(big.dataframe) %*% ( 1/(divisor) * + diag(rep(dim(big.dataframe)[1], 1)) )) +X0.scaled <- scaled.matrix[,c(1:(dim(dataprep.out$X0)[2]))] +X1.scaled <- as.matrix(scaled.matrix[,dim(scaled.matrix)[2]]) + +dn <- d[d$year==1970,c("country","index")] +dn <- dn[order(dn$index),] +dn <- dn[-7,] + +table2store <- matrix(NA,nrow(dataprep.out$X1),4) +fig7store <- matrix(NA,length(1960:2003),4) + +# loop through number of controls +for(pp in 4:1){ + store <- combinations(length(unique(d$index)[-7]), + r=pp, v=unique(d$index)[-7]) + store.loss <- matrix(NA,nrow=nrow(store),1) + store.w <- matrix(NA,nrow=nrow(store),pp) + store.c <- store.w + +# loop through combinations + for(k in 1:nrow(store)){ + # index positions of control units + posvector <- c() + for(i in 1:pp){ + posvector <- c(posvector,which(dn$index==store[k,i])) + } + + # run quad optimization + X0temp <- X0.scaled[ , posvector ] + H <- t(X0temp) %*% V %*% (X0temp) + c <- -1*c(t(X1.scaled) %*% V %*% (X0temp) ) + + if(pp == 1){ + solution.w <- matrix(1) + } else { + res <- ipop(c = c, H = H, A = t(rep(1, length(c))), + b = 1, l = rep(0, length(c)), + u = rep(1, length(c)), r = 0, + margin = 0.005,sigf = 7, bound = 6) + solution.w <- as.matrix(primal(res)) + } + loss.w <- t(X1.scaled - X0temp %*% solution.w) %*% V %*% (X1.scaled - X0temp %*% solution.w) + + store.loss[k] <- loss.w + store.w[k,] <- t(solution.w) + store.c[k,] <- dn$country[posvector] + } # close loop over combinations + +# get best fitting combination + dat <- data.frame(store.loss, + store, + store.c, + store.w + ) + colnames(dat) <- c("loss", + paste("CNo",1:pp,sep=""), + paste("CNa",1:pp,sep=""), + paste("W",1:pp,sep="") + ) + dat <- dat[order(dat$loss),] + Countries <- dat[1,paste("CNo",1:pp,sep="")] + Cweights <- as.numeric(dat[1,paste("W",1:pp,sep="")]) + + outdat <- data.frame(unit.names=as.vector( + (t(as.vector(dat[1,paste("CNa",1:pp,sep="")])))), + w.weights=round(Cweights,2)) + +table3[[pp]]<- outdat[order(-1*outdat$w.weights),] + + # get posvector for fitting + posvector <- c() + if(pp == 1 ){ + posvector <- c(posvector,which(dn$index==Countries)) + } else { + for(i in 1:pp){ + posvector <- c(posvector,which(dn$index==Countries[1,i])) + } + } + + X0t <- as.matrix(dataprep.out$X0[,posvector])%*% as.matrix(Cweights) + table2store[,(4:1)[pp]] <- X0t + + fig7store[,(4:1)[pp]] <- + dataprep.out$Y0[,posvector]%*%as.matrix(Cweights) + +} # close loop over number of countries + +# Table 3 +table3 + +# Table 4 +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +table4 <- round( + cbind(synth.tables$tab.pred[,1:2], + table2store, + synth.tables$tab.pred[,3]),1) +rownames(table4) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") +colnames(table4)[2:7] <- c(5:1,"OECD Sample") +table4 + +## Figure 7: Per-Capita GDP Gaps Between West Germany and Sparse Synthetic Controls +Text.height <- 23000 +Cex.set <- .8 + +par(mfrow=c(2,2)) +for(pp in 4:1){ +#pdf(file = paste("2ger_vs_synth","CValt",pp,".pdf",sep=""), width = 5.5, height = 5.5, family = "Times",pointsize = 12) + plot(1960:2003,dataprep.out$Y1, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2, + main=paste("No. of control countries: ",pp,sep="") + ) + lines(1960:2003,fig7store[,c(4:1)[pp]],col="black",lty="dashed",lwd=2) + abline(v=1990,lty="dotted") + legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) + arrows(1987,Text.height,1989,Text.height,col="black",length=.1) + text(1982.5,Text.height,"reunification",cex=Cex.set) + #dev.off() +} + + + diff --git a/presentations/Synthetic Control/replication_files_btsa/repgermany.dta b/presentations/Synthetic 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zI5jd-D7w^;gtnDiL(Qe4dQHe))`5MGq#jdisJX_XdhOS?{J+9bb8SKOTCtx=swaiT F{{smgp;!O_ literal 0 HcmV?d00001 From 9893c5e6ce9da6efd0d40fd65179807bee0b61d4 Mon Sep 17 00:00:00 2001 From: martinezsebastian <14233204+martinezsebastian@users.noreply.github.com> Date: Wed, 8 Jul 2020 13:57:22 +0200 Subject: [PATCH 2/4] Placing replication files and data in their respective locations --- R/2020-07/rep_for_btsa.R | 474 +++++++++++++++++++++++++++++ R/2020-07/rep_original.r | 640 +++++++++++++++++++++++++++++++++++++++ data/repgermany.dta | Bin 0 -> 44468 bytes 3 files changed, 1114 insertions(+) create mode 100644 R/2020-07/rep_for_btsa.R create mode 100755 R/2020-07/rep_original.r create mode 100755 data/repgermany.dta diff --git a/R/2020-07/rep_for_btsa.R b/R/2020-07/rep_for_btsa.R new file mode 100644 index 0000000..745fc44 --- /dev/null +++ b/R/2020-07/rep_for_btsa.R @@ -0,0 +1,474 @@ +## Replication Code for +# A. Abadie, A. Diamond, and J. Hainmueller. 2014. +# Comparative Politics and the Synthetic Control Method +# American Journal of Political Science. +# Original source for the code and the data: +# https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/24714 +# This version for the Berlin Time Series Analysis Meet-up + +library(foreign) +library("Synth") +library(xtable) +library(ggplot2) +library(scales) +library(tidyverse) +# Load Data +d <- read.dta("repgermany.dta") + + +# Data set-up + countrytosynthetise <- 7 + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = countrytosynthetise, + controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], + time.predictors.prior = 1971:1989, + time.optimize.ssr = 1971:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = countrytosynthetise, + controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], + time.predictors.prior = 1960:1989, + time.optimize.ssr = 1960:1990, + unit.names.variable = 2, + time.plot = 1960:2003 +) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + +#### Table 2 +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out + ); synth.tables + +# Replace means for OECD sample (computed externally using proper pop weighting) +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" +rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") + +xtable(round(synth.tables$tab.pred,1),digits=1) + +#### Table 1 +# synth weights +tab1 <- data.frame(synth.tables$tab.w) +tab1[,1] <- round(tab1[,1],2) +# regression weights +X0 <- cbind(1,t(dataprep.out$X0)) +X1 <- as.matrix(c(1,dataprep.out$X1)) +W <- X0%*%solve(t(X0)%*%X0)%*%X1 +Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), + regression.w=round(W,2)) +tab1 <- merge(tab1,Wdat,by="unit.numbers") +tab1 <- tab1[order(tab1[,3]),] + + +# Table 1 +xtable(cbind(tab1[1:9,c(3,2,4)], + tab1[10:18,c(3,2,4)] + ) + ) + +#### Figures 1, 2 and 3 +data.to.plot <- data.frame(year = rownames(dataprep.out$Y1plot), + west.germany = dataprep.out$Y1plot[, 1]) + +data.to.plot <- as.data.frame(d[,c("gdp","country", "year" )]) +data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") +data.to.plot$west.germany.size <- ifelse(data.to.plot$west.germany == "West Germany", "1","2") +graphcolors <- c("#999999", "#ef8a62") + + +table(data.to.plot$country, data.to.plot$west.germany.size) + + +## PLOT WITH ONLY WEST GERMANY +ggplot(data = data.to.plot[data.to.plot$west.germany == "West Germany",], aes(x = year, y = gdp, + group = country, + color = west.germany, + linetype = west.germany.size)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + guides(linetype = FALSE, color = FALSE) + + theme_bw(base_size = 15) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="\nReunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = c("#ef8a62")) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germany.pdf"), + # width = 15, height = 10, units = 'cm') + + + +## PLOT WITH WEST GERMANY AND ALL THE OTHER COUNTRIES +ggplot(data = data.to.plot, aes(x = year, y = gdp, + group = country, + color = west.germany, + linetype = west.germany.size)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + guides(linetype = FALSE) + + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanynotgermany.pdf"), + # width = 15, height = 10, units = 'cm') + + +## PLOT WITH WEST GERMANY AND THE AVERAGE FROM OTHER COUNTRIES +data.to.plot.average <- data.to.plot %>% + group_by(west.germany, year, west.germany.size) %>% + summarise(GDP = mean(gdp)) + +ggplot(data = data.to.plot.average, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanyaverage.pdf"), + # width = 15, height = 10, units = 'cm') + + + +data.to.plot.average$west.germany[data.to.plot.average$west.germany == "Not West Germany"] <- "Average of Other OECD Countries" + +ggplot(data = data.to.plot.average, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanyaverage2.pdf"), + # width = 15, height = 10, units = 'cm') + + + + +# SYNTHETIC UNIT - Weights +# Figure 4 +data.to.plot.synthetic <- data.to.plot.average + +synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$GDP[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%synth.out$solution.w) +data.to.plot.synthetic$west.germany[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" + + +ggplot(data = data.to.plot.synthetic, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanysynth.pdf"), + # width = 15, height = 10, units = 'cm') + + + +# SYNTHETIC UNIT - Regression +# Figure 8 +data.to.plot.synth.reg <- data.to.plot.average + +synthY0.reg <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$GDP[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%W) +data.to.plot.synth.reg$west.germany[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" + + +ggplot(data = data.to.plot.synth.reg, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(0, 30000)) #+ + #ggsave(paste0("figures/germanysynthreg.pdf"), + # width = 15, height = 10, units = 'cm') + + + +# Gap +# Figure 5 +gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) + +data.to.plot.gap <- data.to.plot.synthetic +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "West Germany"] <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) + +data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "Synthetic West Germany"] <- 0 + + +ggplot(data = data.to.plot.gap, + aes(x = year, y = GDP, + group = west.germany, + color = west.germany)) + + geom_line(size = 1.5) + + labs(color = "West Germany?")+ + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 1000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(-5000, 5000)) #+ + #ggsave(paste0("figures/germanygap.pdf"), + # width = 15, height = 10, units = 'cm') + + + + +# loop across control units +storegaps <- + matrix(NA, + length(1960:2003), + length(unique(d$index))-1 + ) +rownames(storegaps) <- 1960:2003 +i <- 1 +co <- unique(d$index) + +for(k in unique(d$index)[-7]){ + + # data prep for training model + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1971:1989, + time.optimize.ssr = 1971:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + + # data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1960:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + + storegaps[,i] <- + dataprep.out$Y1- + (dataprep.out$Y0%*%synth.out$solution.w) + i <- i + 1 +} # close loop over control units +d <- d[order(d$index,d$year),] +colnames(storegaps) <- unique(d$country)[-7] +storegaps <- cbind(gap,storegaps) +colnames(storegaps)[1] <- c("West Germany") + + + +# Placebo gaps +# Figure 6 +sgaps <- as.data.frame(storegaps) +sgaps$year <- rownames(sgaps) +sgaps <- reshape2::melt(sgaps,id.vars = "year") + + +sgaps$west.germany <- ifelse(sgaps$variable == "West Germany", "West Germany", "Not West Germany") +sgaps$west.germany.size <- ifelse(sgaps$west.germany == "West Germany", "1","2") + +sgaps$year <- as.numeric(sgaps$year) + +data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") +ggplot(data = sgaps, aes(x = year, y = value, + group = variable, + color = west.germany, + linetype = west.germany.size)) + + geom_line() + + labs(color = "West Germany?")+ + guides(linetype = FALSE) + + theme_bw(base_size = 10) + + theme(legend.position = "bottom") + + geom_vline(xintercept = 1990, + color = "#88419d") + + annotate("text", x = 1985, + label="Reunification", y = 4000, + colour = "#88419d", alpha = 0.8, angle = 0) + + scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", + labels = comma_format(big.mark = ",", + decimal.mark = ".")) + + scale_color_manual(values = graphcolors) + + coord_cartesian(ylim = c(-5000, 5000)) #+ + #ggsave(paste0("figures/allrmspe.pdf"), + # width = 15, height = 10, units = 'cm') + + + + + + + +# Figure 7 +# compute ratio of post-reunification RMSPE +# to pre-reunification RMSPE +rmse <- function(x){sqrt(mean(x^2))} +preloss <- apply(storegaps[1:30,],2,rmse) +postloss <- apply(storegaps[31:44,],2,rmse) +prepost <- sort(postloss/preloss) +prepost <- t(t(prepost)) + +prepost <- data.frame(Country = rownames(prepost), RMSPE = prepost) +rownames(prepost) <- NULL +prepost$Country <- factor(prepost$Country, + levels = prepost$Country[order(prepost$RMSPE)]) + + +prepost$west.germany <- ifelse(prepost$Country== "West Germany", "West Germany", "Not West Germany") + +ggplot(prepost, aes(x = Country, y = RMSPE)) + + geom_point(stat = 'identity', size = 6, aes(color = west.germany)) + + theme_bw(base_size = 10) + + coord_flip() + + ylab("Post-Period RMSE / Pre-Period RMSE") + + scale_color_manual(values = graphcolors) + + guides(color = FALSE) #+ + #ggsave(paste0("figures/RMSPERatio.pdf"), + # width = 15, height = 10, units = 'cm') + + + + + diff --git a/R/2020-07/rep_original.r b/R/2020-07/rep_original.r new file mode 100755 index 0000000..f1b77a1 --- /dev/null +++ b/R/2020-07/rep_original.r @@ -0,0 +1,640 @@ +## Replication Code for +# A. Abadie, A. Diamond, and J. Hainmueller. 2014. +# Comparative Politics and the Synthetic Control Method +# American Journal of Political Science. + +rm(list=ls()) +library(foreign) +library("Synth") +library(xtable) + +# Load Data +d <- read.dta("repgermany.dta") + +## Table 1 & 2, Figure 1, 2, & 3 + +## pick v by cross-validation +# data setup for training model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 +) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + +#### Table 2 +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out + ); synth.tables + +# Replace means for OECD sample (computed externally using proper pop weighting) +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" +rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") + +xtable(round(synth.tables$tab.pred,1),digits=1) + +#### Table 1 +# synth weights +tab1 <- data.frame(synth.tables$tab.w) +tab1[,1] <- round(tab1[,1],2) +# regression weights +X0 <- cbind(1,t(dataprep.out$X0)) +X1 <- as.matrix(c(1,dataprep.out$X1)) +W <- X0%*%solve(t(X0)%*%X0)%*%X1 +Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), + regression.w=round(W,2)) +tab1 <- merge(tab1,Wdat,by="unit.numbers") +tab1 <- tab1[order(tab1[,3]),] + +xtable(cbind(tab1[1:9,c(3,2,4)], + tab1[10:18,c(3,2,4)] + ) + ) + +#### Figure 1: Trends in Per-Capita GDP: West Germany vs. Rest of the OECD Sample +Text.height <- 23000 +Cex.set <- .8 +#pdf(file = "ger_vs_oecd.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:2003,aggregate(d[,c("gdp")],by=list(d$year),mean,na.rm=T)[,2] + ,col="black",lty="dashed",lwd=2) # mean 2 +abline(v=1990,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","rest of the OECD sample") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1987,Text.height,1989,Text.height,col="black",length=.1) +text(1982.5,Text.height,"reunification",cex=Cex.set) +#dev.off() + +#### Figure 2: Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany +#pdf(file = "ger_vs_synthger2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) +abline(v=1990,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1987,Text.height,1989,Text.height,col="black",length=.1) +text(1982.5,Text.height,"reunification",cex=Cex.set) +#dev.off() + +### Figure 3: Per-Capita GDP Gap Between West Germany and Synthetic West Germany +#pdf(file = "ger_vs_synthger_gaps2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) +plot(1960:2003,gap, + type="l",ylim=c(-4500,4500),col="black",lty="solid", + ylab =c("gap in per-capita GDP (PPP, 2002 USD)"), + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +abline(v=1990,lty="dotted") +abline(h=0,lty="dotted") +arrows(1987,1000,1989,1000,col="black",length=.1) +text(1982.5,1000,"reunification",cex=Cex.set) +#dev.off() + +### Figure 4: Placebo Reunification 1975 - Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany + +# data prep for training model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971, c("mean")), + list("schooling",c(1960,1965), c("mean")), + list("invest60" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1960:1964, + time.optimize.ssr = 1965:1975, + unit.names.variable = 2, + time.plot = 1960:1990 + ) + +# fit training model +synth.out <- synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 +) + + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1971:1975, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1965:1975, + time.optimize.ssr = 1960:1975, + unit.names.variable = 2, + time.plot = 1960:1990 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) +) + +Cex.set <- 1 +#pdf(file = "2intimeplacebo1975.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:1990,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2 + ) +lines(1960:1990,(dataprep.out$Y0%*%synth.out$solution.w),col="black",lty="dashed",lwd=2) +abline(v=1975,lty="dotted") +legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) +arrows(1973,20000,1974.5,20000,col="black",length=.1) +text(1967.5,20000,"placebo reunification",cex=Cex.set) +#dev.off() + + +### Figure 5: Ratio of post-reunification RMSPE to pre-reunification RMSPE: West Germany and control countries. + +# loop across control units +storegaps <- + matrix(NA, + length(1960:2003), + length(unique(d$index))-1 + ) +rownames(storegaps) <- 1960:2003 +i <- 1 +co <- unique(d$index) + +for(k in unique(d$index)[-7]){ + + # data prep for training model + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + + # data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = k, + controls.identifier = co[-which(co==k)], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + + storegaps[,i] <- + dataprep.out$Y1- + (dataprep.out$Y0%*%synth.out$solution.w) + i <- i + 1 +} # close loop over control units +d <- d[order(d$index,d$year),] +colnames(storegaps) <- unique(d$country)[-7] +storegaps <- cbind(gap,storegaps) +colnames(storegaps)[1] <- c("West Germany") + +# compute ratio of post-reunification RMSPE +# to pre-reunification RMSPE +rmse <- function(x){sqrt(mean(x^2))} +preloss <- apply(storegaps[1:30,],2,rmse) +postloss <- apply(storegaps[31:44,],2,rmse) + +#pdf("2ratio_post_to_preperiod_rmse2a.pdf") +dotchart(sort(postloss/preloss), + xlab="Post-Period RMSE / Pre-Period RMSE", + pch=19) +#dev.off() + +### Figure 6: Leave-one-out distribution of the synthetic control for West Germany + +# loop over leave one outs +storegaps <- + matrix(NA, + length(1960:2003), + 5) +colnames(storegaps) <- c(1,3,9,12,14) +co <- unique(d$index)[-7] + +for(k in 1:5){ + +# data prep for training model +omit <- c(1,3,9,12,14)[k] + dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry",1971:1980, c("mean")), + list("schooling" ,c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = co[-which(co==omit)], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit training model + synth.out <- synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = co[-which(co==omit)], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + + # fit main model + synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) + ) + storegaps[,k] <- (dataprep.out$Y0%*%synth.out$solution.w) +} # close loop over leave one outs + +Text.height <- 23000 +Cex.set <- .8 +#pdf(file = "1jackknife2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) +plot(1960:2003,dataprep.out$Y1plot, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i",lwd=2 + ) + +abline(v=1990,lty="dotted") +arrows(1987,23000,1989,23000,col="black",length=.1) + for(i in 1:5){ + lines(1960:2003,storegaps[,i],col="darkgrey",lty="solid") + } +lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) +lines(1960:2003,dataprep.out$Y1plot,col="black",lty="solid",lwd=2) +text(1982.5,23000,"reunification",cex=.8) +legend(x="bottomright", + legend=c("West Germany", + "synthetic West Germany", + "synthetic West Germany (leave-one-out)") + ,lty=c("solid","dashed","solid"), + col=c("black","black","darkgrey") + ,cex=.8,bg="white",lwdc(2,2,1)) +#dev.off() + + +### Table 3: Synthetic Weights from Combinations of Control Countries +rm(list=ls()) +library(gtools) +library(kernlab) + +# data prep for training model +d <- read.dta("repgermany.dta") +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry", 1971:1980, c("mean")), + list("schooling",c(1970,1975), c("mean")), + list("invest70" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1971:1980, + time.optimize.ssr = 1981:1990, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit training model +synth.out <- + synth( + data.prep.obj=dataprep.out, + Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 + ) + +# data prep for main model +dataprep.out <- + dataprep( + foo = d, + predictors = c("gdp","trade","infrate"), + dependent = "gdp", + unit.variable = 1, + time.variable = 3, + special.predictors = list( + list("industry" ,1981:1990, c("mean")), + list("schooling",c(1980,1985), c("mean")), + list("invest80" ,1980, c("mean")) + ), + treatment.identifier = 7, + controls.identifier = unique(d$index)[-7], + time.predictors.prior = 1981:1990, + time.optimize.ssr = 1960:1989, + unit.names.variable = 2, + time.plot = 1960:2003 + ) + +# fit main model with v from training model +synth.out <- synth( + data.prep.obj=dataprep.out, + custom.v=as.numeric(synth.out$solution.v) +) + +synth.tables <- synth.tab( + dataprep.res = dataprep.out, + synth.res = synth.out +) + +table3 <- list() +synth.tables$tab.w[,1] <- round(synth.tables$tab.w[,1],2) +table3[[5]] <-synth.tables$tab.w[order(-1*synth.tables$tab.w[,1]),2:1][1:5,] + +# compute loss for all combinations +# of 4, 3, 2, 1 sized donor pools + +# get W and v +solution.w <- round(synth.out$solution.w,3) +V <- diag(as.numeric(synth.out$solution.v)) + +# compute scaled Xs +nvarsV <- dim(dataprep.out$X0)[1] +big.dataframe <- cbind(dataprep.out$X0, dataprep.out$X1) +divisor <- sqrt(apply(big.dataframe, 1, var)) +scaled.matrix <- + t(t(big.dataframe) %*% ( 1/(divisor) * + diag(rep(dim(big.dataframe)[1], 1)) )) +X0.scaled <- scaled.matrix[,c(1:(dim(dataprep.out$X0)[2]))] +X1.scaled <- as.matrix(scaled.matrix[,dim(scaled.matrix)[2]]) + +dn <- d[d$year==1970,c("country","index")] +dn <- dn[order(dn$index),] +dn <- dn[-7,] + +table2store <- matrix(NA,nrow(dataprep.out$X1),4) +fig7store <- matrix(NA,length(1960:2003),4) + +# loop through number of controls +for(pp in 4:1){ + store <- combinations(length(unique(d$index)[-7]), + r=pp, v=unique(d$index)[-7]) + store.loss <- matrix(NA,nrow=nrow(store),1) + store.w <- matrix(NA,nrow=nrow(store),pp) + store.c <- store.w + +# loop through combinations + for(k in 1:nrow(store)){ + # index positions of control units + posvector <- c() + for(i in 1:pp){ + posvector <- c(posvector,which(dn$index==store[k,i])) + } + + # run quad optimization + X0temp <- X0.scaled[ , posvector ] + H <- t(X0temp) %*% V %*% (X0temp) + c <- -1*c(t(X1.scaled) %*% V %*% (X0temp) ) + + if(pp == 1){ + solution.w <- matrix(1) + } else { + res <- ipop(c = c, H = H, A = t(rep(1, length(c))), + b = 1, l = rep(0, length(c)), + u = rep(1, length(c)), r = 0, + margin = 0.005,sigf = 7, bound = 6) + solution.w <- as.matrix(primal(res)) + } + loss.w <- t(X1.scaled - X0temp %*% solution.w) %*% V %*% (X1.scaled - X0temp %*% solution.w) + + store.loss[k] <- loss.w + store.w[k,] <- t(solution.w) + store.c[k,] <- dn$country[posvector] + } # close loop over combinations + +# get best fitting combination + dat <- data.frame(store.loss, + store, + store.c, + store.w + ) + colnames(dat) <- c("loss", + paste("CNo",1:pp,sep=""), + paste("CNa",1:pp,sep=""), + paste("W",1:pp,sep="") + ) + dat <- dat[order(dat$loss),] + Countries <- dat[1,paste("CNo",1:pp,sep="")] + Cweights <- as.numeric(dat[1,paste("W",1:pp,sep="")]) + + outdat <- data.frame(unit.names=as.vector( + (t(as.vector(dat[1,paste("CNa",1:pp,sep="")])))), + w.weights=round(Cweights,2)) + +table3[[pp]]<- outdat[order(-1*outdat$w.weights),] + + # get posvector for fitting + posvector <- c() + if(pp == 1 ){ + posvector <- c(posvector,which(dn$index==Countries)) + } else { + for(i in 1:pp){ + posvector <- c(posvector,which(dn$index==Countries[1,i])) + } + } + + X0t <- as.matrix(dataprep.out$X0[,posvector])%*% as.matrix(Cweights) + table2store[,(4:1)[pp]] <- X0t + + fig7store[,(4:1)[pp]] <- + dataprep.out$Y0[,posvector]%*%as.matrix(Cweights) + +} # close loop over number of countries + +# Table 3 +table3 + +# Table 4 +synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) +table4 <- round( + cbind(synth.tables$tab.pred[,1:2], + table2store, + synth.tables$tab.pred[,3]),1) +rownames(table4) <- c("GDP per-capita","Trade openness", + "Inflation rate","Industry share", + "Schooling","Investment rate") +colnames(table4)[2:7] <- c(5:1,"OECD Sample") +table4 + +## Figure 7: Per-Capita GDP Gaps Between West Germany and Sparse Synthetic Controls +Text.height <- 23000 +Cex.set <- .8 + +par(mfrow=c(2,2)) +for(pp in 4:1){ +#pdf(file = paste("2ger_vs_synth","CValt",pp,".pdf",sep=""), width = 5.5, height = 5.5, family = "Times",pointsize = 12) + plot(1960:2003,dataprep.out$Y1, + type="l",ylim=c(0,33000),col="black",lty="solid", + ylab ="per-capita GDP (PPP, 2002 USD)", + xlab ="year", + xaxs = "i", yaxs = "i", + lwd=2, + main=paste("No. of control countries: ",pp,sep="") + ) + lines(1960:2003,fig7store[,c(4:1)[pp]],col="black",lty="dashed",lwd=2) + abline(v=1990,lty="dotted") + legend(x="bottomright", + legend=c("West Germany","synthetic West Germany") + ,lty=c("solid","dashed"),col=c("black","black") + ,cex=.8,bg="white",lwd=c(2,2)) + arrows(1987,Text.height,1989,Text.height,col="black",length=.1) + text(1982.5,Text.height,"reunification",cex=Cex.set) + #dev.off() +} + + + diff --git a/data/repgermany.dta b/data/repgermany.dta new file mode 100755 index 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Juan Camilo Orduz Date: Wed, 8 Jul 2020 14:15:04 +0200 Subject: [PATCH 3/4] rename folder --- .../replication_files_btsa/.Rhistory | 512 ------------------ .../BTSA_synthetic_control.pdf | Bin .../replication_files_btsa/MANIFEST.TXT | 0 .../replication_files_btsa/rep_for_btsa.R | 0 .../replication_files_btsa/rep_original.r | 0 .../replication_files_btsa/repgermany.dta | Bin 6 files changed, 512 deletions(-) delete mode 100644 presentations/Synthetic Control/replication_files_btsa/.Rhistory rename presentations/{Synthetic Control => synthetic_control}/BTSA_synthetic_control.pdf (100%) rename presentations/{Synthetic Control => synthetic_control}/replication_files_btsa/MANIFEST.TXT (100%) rename presentations/{Synthetic Control => synthetic_control}/replication_files_btsa/rep_for_btsa.R (100%) rename presentations/{Synthetic Control => synthetic_control}/replication_files_btsa/rep_original.r (100%) rename presentations/{Synthetic Control => synthetic_control}/replication_files_btsa/repgermany.dta (100%) diff --git a/presentations/Synthetic Control/replication_files_btsa/.Rhistory b/presentations/Synthetic Control/replication_files_btsa/.Rhistory deleted file mode 100644 index cc96553..0000000 --- a/presentations/Synthetic Control/replication_files_btsa/.Rhistory +++ /dev/null @@ -1,512 +0,0 @@ -data.prep.obj=dataprep.out, -Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 -) -# data prep for main model -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry" ,1981:1990, c("mean")), -list("schooling",c(1980,1985), c("mean")), -list("invest80" ,1980, c("mean")) -), -treatment.identifier = 7, -controls.identifier = unique(d$index)[-7], -time.predictors.prior = 1981:1990, -time.optimize.ssr = 1960:1989, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit main model with v from training model -synth.out <- synth( -data.prep.obj=dataprep.out, -custom.v=as.numeric(synth.out$solution.v) -) -#### Table 2 -synth.tables <- synth.tab( -dataprep.res = dataprep.out, -synth.res = synth.out -); synth.tables -# Replace means for OECD sample (computed externally using proper pop weighting) -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" -rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", -"Inflation rate","Industry share", -"Schooling","Investment rate") -xtable(round(synth.tables$tab.pred,1),digits=1) -## Replication Code for -# A. Abadie, A. Diamond, and J. Hainmueller. 2014. -# Comparative Politics and the Synthetic Control Method -# American Journal of Political Science. -rm(list=ls()) -library(foreign) -library("Synth") -library(xtable) -library(ggplot2) -library(scales) -library(tidyverse) -# Load Data -d <- read.dta("repgermany.dta") -## Table 1 & 2, Figure 1, 2, & 3 -## pick v by cross-validation -# data setup for training model -# Greece is 16 -countrytosynthetise <- 7 -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry", 1971:1980, c("mean")), -list("schooling",c(1970,1975), c("mean")), -list("invest70" ,1980, c("mean")) -), -treatment.identifier = countrytosynthetise, -controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], -time.predictors.prior = 1971:1989, -time.optimize.ssr = 1971:1990, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit training model -synth.out <- -synth( -data.prep.obj=dataprep.out, -Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 -) -# data prep for main model -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry" ,1981:1990, c("mean")), -list("schooling",c(1980,1985), c("mean")), -list("invest80" ,1980, c("mean")) -), -treatment.identifier = countrytosynthetise, -controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], -time.predictors.prior = 1960:1989, -time.optimize.ssr = 1960:1990, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit main model with v from training model -synth.out <- synth( -data.prep.obj=dataprep.out, -custom.v=as.numeric(synth.out$solution.v) -) -#### Table 2 -synth.tables <- synth.tab( -dataprep.res = dataprep.out, -synth.res = synth.out -); synth.tables -# Replace means for OECD sample (computed externally using proper pop weighting) -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" -rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", -"Inflation rate","Industry share", -"Schooling","Investment rate") -xtable(round(synth.tables$tab.pred,1),digits=1) -## Replication Code for -# A. Abadie, A. Diamond, and J. Hainmueller. 2014. -# Comparative Politics and the Synthetic Control Method -# American Journal of Political Science. -# Original source for the code and the data: -# https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/24714 -library(foreign) -library("Synth") -library(xtable) -library(ggplot2) -library(scales) -library(tidyverse) -# Load Data -d <- read.dta("repgermany.dta") -# Data set-up -countrytosynthetise <- 7 -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry", 1971:1980, c("mean")), -list("schooling",c(1970,1975), c("mean")), -list("invest70" ,1980, c("mean")) -), -treatment.identifier = countrytosynthetise, -controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], -time.predictors.prior = 1971:1989, -time.optimize.ssr = 1971:1990, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit training model -synth.out <- -synth( -data.prep.obj=dataprep.out, -Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 -) -# data prep for main model -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry" ,1981:1990, c("mean")), -list("schooling",c(1980,1985), c("mean")), -list("invest80" ,1980, c("mean")) -), -treatment.identifier = countrytosynthetise, -controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], -time.predictors.prior = 1960:1989, -time.optimize.ssr = 1960:1990, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit main model with v from training model -synth.out <- synth( -data.prep.obj=dataprep.out, -custom.v=as.numeric(synth.out$solution.v) -) -#### Table 2 -synth.tables <- synth.tab( -dataprep.res = dataprep.out, -synth.res = synth.out -); synth.tables -# Replace means for OECD sample (computed externally using proper pop weighting) -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" -rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", -"Inflation rate","Industry share", -"Schooling","Investment rate") -xtable(round(synth.tables$tab.pred,1),digits=1) -#### Table 1 -# synth weights -tab1 <- data.frame(synth.tables$tab.w) -tab1[,1] <- round(tab1[,1],2) -# regression weights -X0 <- cbind(1,t(dataprep.out$X0)) -X1 <- as.matrix(c(1,dataprep.out$X1)) -W <- X0%*%solve(t(X0)%*%X0)%*%X1 -Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), -regression.w=round(W,2)) -tab1 <- merge(tab1,Wdat,by="unit.numbers") -tab1 <- tab1[order(tab1[,3]),] -# Table 1 -xtable(cbind(tab1[1:9,c(3,2,4)], -tab1[10:18,c(3,2,4)] -) -) -#### Figures 1, 2 and 3 -data.to.plot <- data.frame(year = rownames(dataprep.out$Y1plot), -west.germany = dataprep.out$Y1plot[, 1]) -data.to.plot <- as.data.frame(d[,c("gdp","country", "year" )]) -data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") -data.to.plot$west.germany.size <- ifelse(data.to.plot$west.germany == "West Germany", "1","2") -graphcolors <- c("#999999", "#ef8a62") -table(data.to.plot$country, data.to.plot$west.germany.size) -## PLOT WITH ONLY WEST GERMANY -ggplot(data = data.to.plot[data.to.plot$west.germany == "West Germany",], aes(x = year, y = gdp, -group = country, -color = west.germany, -linetype = west.germany.size)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -guides(linetype = FALSE, color = FALSE) + -theme_bw(base_size = 15) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="\nReunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = c("#ef8a62")) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germany.pdf"), -width = 15, height = 10, units = 'cm') -## PLOT WITH WEST GERMANY AND ALL THE OTHER COUNTRIES -ggplot(data = data.to.plot, aes(x = year, y = gdp, -group = country, -color = west.germany, -linetype = west.germany.size)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -guides(linetype = FALSE) + -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germanynotgermany.pdf"), -width = 15, height = 10, units = 'cm') -## PLOT WITH WEST GERMANY AND THE AVERAGE FROM OTHER COUNTRIES -data.to.plot.average <- data.to.plot %>% -group_by(west.germany, year, west.germany.size) %>% -summarise(GDP = mean(gdp)) -ggplot(data = data.to.plot.average, -aes(x = year, y = GDP, -group = west.germany, -color = west.germany)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germanyaverage.pdf"), -width = 15, height = 10, units = 'cm') -data.to.plot.average$west.germany[data.to.plot.average$west.germany == "Not West Germany"] <- "Average of Other OECD Countries" -ggplot(data = data.to.plot.average, -aes(x = year, y = GDP, -group = west.germany, -color = west.germany)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germanyaverage2.pdf"), -width = 15, height = 10, units = 'cm') -# SYNTHETIC UNIT - Weights -# Figure 4 -data.to.plot.synthetic <- data.to.plot.average -synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.synthetic$GDP[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.synthetic$west.germany[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" -ggplot(data = data.to.plot.synthetic, -aes(x = year, y = GDP, -group = west.germany, -color = west.germany)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germanysynth.pdf"), -width = 15, height = 10, units = 'cm') -# SYNTHETIC UNIT - Regression -# Figure 8 -data.to.plot.synth.reg <- data.to.plot.average -synthY0.reg <- (dataprep.out$Y0%*%W) -data.to.plot.synth.reg$GDP[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%W) -data.to.plot.synth.reg$west.germany[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" -ggplot(data = data.to.plot.synth.reg, -aes(x = year, y = GDP, -group = west.germany, -color = west.germany)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(0, 30000)) + -ggsave(paste0("figures/germanysynthreg.pdf"), -width = 15, height = 10, units = 'cm') -# Gap -# Figure 5 -gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.gap <- data.to.plot.synthetic -data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "West Germany"] <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "Synthetic West Germany"] <- 0 -ggplot(data = data.to.plot.gap, -aes(x = year, y = GDP, -group = west.germany, -color = west.germany)) + -geom_line(size = 1.5) + -labs(color = "West Germany?")+ -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 1000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(-5000, 5000)) + -ggsave(paste0("figures/germanygap.pdf"), -width = 15, height = 10, units = 'cm') -# loop across control units -storegaps <- -matrix(NA, -length(1960:2003), -length(unique(d$index))-1 -) -rownames(storegaps) <- 1960:2003 -i <- 1 -co <- unique(d$index) -for(k in unique(d$index)[-7]){ -# data prep for training model -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry",1971:1980, c("mean")), -list("schooling" ,c(1970,1975), c("mean")), -list("invest70" ,1980, c("mean")) -), -treatment.identifier = k, -controls.identifier = co[-which(co==k)], -time.predictors.prior = 1971:1989, -time.optimize.ssr = 1971:1990, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit training model -synth.out <- -synth( -data.prep.obj=dataprep.out, -Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 -) -# data prep for main model -dataprep.out <- -dataprep( -foo = d, -predictors = c("gdp","trade","infrate"), -dependent = "gdp", -unit.variable = 1, -time.variable = 3, -special.predictors = list( -list("industry" ,1981:1990, c("mean")), -list("schooling",c(1980,1985), c("mean")), -list("invest80" ,1980, c("mean")) -), -treatment.identifier = k, -controls.identifier = co[-which(co==k)], -time.predictors.prior = 1960:1990, -time.optimize.ssr = 1960:1989, -unit.names.variable = 2, -time.plot = 1960:2003 -) -# fit main model -synth.out <- synth( -data.prep.obj=dataprep.out, -custom.v=as.numeric(synth.out$solution.v) -) -storegaps[,i] <- -dataprep.out$Y1- -(dataprep.out$Y0%*%synth.out$solution.w) -i <- i + 1 -} # close loop over control units -d <- d[order(d$index,d$year),] -colnames(storegaps) <- unique(d$country)[-7] -storegaps <- cbind(gap,storegaps) -colnames(storegaps)[1] <- c("West Germany") -# Placebo gaps -# Figure 6 -sgaps <- as.data.frame(storegaps) -sgaps$year <- rownames(sgaps) -sgaps <- reshape2::melt(sgaps,id.vars = "year") -sgaps$west.germany <- ifelse(sgaps$variable == "West Germany", "West Germany", "Not West Germany") -sgaps$west.germany.size <- ifelse(sgaps$west.germany == "West Germany", "1","2") -sgaps$year <- as.numeric(sgaps$year) -data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") -ggplot(data = sgaps, aes(x = year, y = value, -group = variable, -color = west.germany, -linetype = west.germany.size)) + -geom_line() + -labs(color = "West Germany?")+ -guides(linetype = FALSE) + -theme_bw(base_size = 10) + -theme(legend.position = "bottom") + -geom_vline(xintercept = 1990, -color = "#88419d") + -annotate("text", x = 1985, -label="Reunification", y = 4000, -colour = "#88419d", alpha = 0.8, angle = 0) + -scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", -labels = comma_format(big.mark = ",", -decimal.mark = ".")) + -scale_color_manual(values = graphcolors) + -coord_cartesian(ylim = c(-5000, 5000)) + -ggsave(paste0("figures/allrmspe.pdf"), -width = 15, height = 10, units = 'cm') -# Figure 7 -# compute ratio of post-reunification RMSPE -# to pre-reunification RMSPE -rmse <- function(x){sqrt(mean(x^2))} -preloss <- apply(storegaps[1:30,],2,rmse) -postloss <- apply(storegaps[31:44,],2,rmse) -prepost <- sort(postloss/preloss) -prepost <- t(t(prepost)) -prepost <- data.frame(Country = rownames(prepost), RMSPE = prepost) -rownames(prepost) <- NULL -prepost$Country <- factor(prepost$Country, -levels = prepost$Country[order(prepost$RMSPE)]) -prepost$west.germany <- ifelse(prepost$Country== "West Germany", "West Germany", "Not West Germany") -ggplot(prepost, aes(x = Country, y = RMSPE)) + -geom_point(stat = 'identity', size = 6, aes(color = west.germany)) + -theme_bw(base_size = 10) + -coord_flip() + -ylab("Post-Period RMSE / Pre-Period RMSE") + -scale_color_manual(values = graphcolors) + -guides(color = FALSE) + -ggsave(paste0("figures/RMSPERatio.pdf"), -width = 15, height = 10, units = 'cm') diff --git a/presentations/Synthetic Control/BTSA_synthetic_control.pdf b/presentations/synthetic_control/BTSA_synthetic_control.pdf similarity index 100% rename from presentations/Synthetic Control/BTSA_synthetic_control.pdf rename to presentations/synthetic_control/BTSA_synthetic_control.pdf diff --git a/presentations/Synthetic Control/replication_files_btsa/MANIFEST.TXT b/presentations/synthetic_control/replication_files_btsa/MANIFEST.TXT similarity index 100% rename from presentations/Synthetic Control/replication_files_btsa/MANIFEST.TXT rename to presentations/synthetic_control/replication_files_btsa/MANIFEST.TXT diff --git a/presentations/Synthetic Control/replication_files_btsa/rep_for_btsa.R b/presentations/synthetic_control/replication_files_btsa/rep_for_btsa.R similarity index 100% rename from presentations/Synthetic Control/replication_files_btsa/rep_for_btsa.R rename to presentations/synthetic_control/replication_files_btsa/rep_for_btsa.R diff --git a/presentations/Synthetic Control/replication_files_btsa/rep_original.r b/presentations/synthetic_control/replication_files_btsa/rep_original.r similarity index 100% rename from presentations/Synthetic Control/replication_files_btsa/rep_original.r rename to presentations/synthetic_control/replication_files_btsa/rep_original.r diff --git a/presentations/Synthetic Control/replication_files_btsa/repgermany.dta b/presentations/synthetic_control/replication_files_btsa/repgermany.dta similarity index 100% rename from presentations/Synthetic Control/replication_files_btsa/repgermany.dta rename to presentations/synthetic_control/replication_files_btsa/repgermany.dta From b23a73c6e9b325c546ca563459a62eaa6400d6cb Mon Sep 17 00:00:00 2001 From: Juan Camilo Orduz Date: Wed, 8 Jul 2020 14:16:06 +0200 Subject: [PATCH 4/4] rm replication_files folder --- .../replication_files_btsa/MANIFEST.TXT | 2 - .../replication_files_btsa/rep_for_btsa.R | 474 ------------- .../replication_files_btsa/rep_original.r | 640 ------------------ .../replication_files_btsa/repgermany.dta | Bin 44468 -> 0 bytes 4 files changed, 1116 deletions(-) delete mode 100755 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a/presentations/synthetic_control/replication_files_btsa/rep_for_btsa.R +++ /dev/null @@ -1,474 +0,0 @@ -## Replication Code for -# A. Abadie, A. Diamond, and J. Hainmueller. 2014. -# Comparative Politics and the Synthetic Control Method -# American Journal of Political Science. -# Original source for the code and the data: -# https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/24714 -# This version for the Berlin Time Series Analysis Meet-up - -library(foreign) -library("Synth") -library(xtable) -library(ggplot2) -library(scales) -library(tidyverse) -# Load Data -d <- read.dta("repgermany.dta") - - -# Data set-up - countrytosynthetise <- 7 - dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry", 1971:1980, c("mean")), - list("schooling",c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = countrytosynthetise, - controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], - time.predictors.prior = 1971:1989, - time.optimize.ssr = 1971:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit training model -synth.out <- - synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - -# data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = countrytosynthetise, - controls.identifier = unique(d$index)[-which(unique(d$index) %in% countrytosynthetise)], - time.predictors.prior = 1960:1989, - time.optimize.ssr = 1960:1990, - unit.names.variable = 2, - time.plot = 1960:2003 -) - -# fit main model with v from training model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) - ) - -#### Table 2 -synth.tables <- synth.tab( - dataprep.res = dataprep.out, - synth.res = synth.out - ); synth.tables - -# Replace means for OECD sample (computed externally using proper pop weighting) -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" -rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", - "Inflation rate","Industry share", - "Schooling","Investment rate") - -xtable(round(synth.tables$tab.pred,1),digits=1) - -#### Table 1 -# synth weights -tab1 <- data.frame(synth.tables$tab.w) -tab1[,1] <- round(tab1[,1],2) -# regression weights -X0 <- cbind(1,t(dataprep.out$X0)) -X1 <- as.matrix(c(1,dataprep.out$X1)) -W <- X0%*%solve(t(X0)%*%X0)%*%X1 -Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), - regression.w=round(W,2)) -tab1 <- merge(tab1,Wdat,by="unit.numbers") -tab1 <- tab1[order(tab1[,3]),] - - -# Table 1 -xtable(cbind(tab1[1:9,c(3,2,4)], - tab1[10:18,c(3,2,4)] - ) - ) - -#### Figures 1, 2 and 3 -data.to.plot <- data.frame(year = rownames(dataprep.out$Y1plot), - west.germany = dataprep.out$Y1plot[, 1]) - -data.to.plot <- as.data.frame(d[,c("gdp","country", "year" )]) -data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") -data.to.plot$west.germany.size <- ifelse(data.to.plot$west.germany == "West Germany", "1","2") -graphcolors <- c("#999999", "#ef8a62") - - -table(data.to.plot$country, data.to.plot$west.germany.size) - - -## PLOT WITH ONLY WEST GERMANY -ggplot(data = data.to.plot[data.to.plot$west.germany == "West Germany",], aes(x = year, y = gdp, - group = country, - color = west.germany, - linetype = west.germany.size)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - guides(linetype = FALSE, color = FALSE) + - theme_bw(base_size = 15) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="\nReunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = c("#ef8a62")) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germany.pdf"), - # width = 15, height = 10, units = 'cm') - - - -## PLOT WITH WEST GERMANY AND ALL THE OTHER COUNTRIES -ggplot(data = data.to.plot, aes(x = year, y = gdp, - group = country, - color = west.germany, - linetype = west.germany.size)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - guides(linetype = FALSE) + - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germanynotgermany.pdf"), - # width = 15, height = 10, units = 'cm') - - -## PLOT WITH WEST GERMANY AND THE AVERAGE FROM OTHER COUNTRIES -data.to.plot.average <- data.to.plot %>% - group_by(west.germany, year, west.germany.size) %>% - summarise(GDP = mean(gdp)) - -ggplot(data = data.to.plot.average, - aes(x = year, y = GDP, - group = west.germany, - color = west.germany)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germanyaverage.pdf"), - # width = 15, height = 10, units = 'cm') - - - -data.to.plot.average$west.germany[data.to.plot.average$west.germany == "Not West Germany"] <- "Average of Other OECD Countries" - -ggplot(data = data.to.plot.average, - aes(x = year, y = GDP, - group = west.germany, - color = west.germany)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germanyaverage2.pdf"), - # width = 15, height = 10, units = 'cm') - - - - -# SYNTHETIC UNIT - Weights -# Figure 4 -data.to.plot.synthetic <- data.to.plot.average - -synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.synthetic$GDP[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%synth.out$solution.w) -data.to.plot.synthetic$west.germany[data.to.plot.synthetic$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" - - -ggplot(data = data.to.plot.synthetic, - aes(x = year, y = GDP, - group = west.germany, - color = west.germany)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germanysynth.pdf"), - # width = 15, height = 10, units = 'cm') - - - -# SYNTHETIC UNIT - Regression -# Figure 8 -data.to.plot.synth.reg <- data.to.plot.average - -synthY0.reg <- (dataprep.out$Y0%*%W) -data.to.plot.synth.reg$GDP[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- (dataprep.out$Y0%*%W) -data.to.plot.synth.reg$west.germany[data.to.plot.synth.reg$west.germany == "Average of Other OECD Countries"] <- "Synthetic West Germany" - - -ggplot(data = data.to.plot.synth.reg, - aes(x = year, y = GDP, - group = west.germany, - color = west.germany)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(0, 30000)) #+ - #ggsave(paste0("figures/germanysynthreg.pdf"), - # width = 15, height = 10, units = 'cm') - - - -# Gap -# Figure 5 -gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) - -data.to.plot.gap <- data.to.plot.synthetic -data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "West Germany"] <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) - -data.to.plot.gap$GDP[data.to.plot.gap$west.germany == "Synthetic West Germany"] <- 0 - - -ggplot(data = data.to.plot.gap, - aes(x = year, y = GDP, - group = west.germany, - color = west.germany)) + - geom_line(size = 1.5) + - labs(color = "West Germany?")+ - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 1000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(-5000, 5000)) #+ - #ggsave(paste0("figures/germanygap.pdf"), - # width = 15, height = 10, units = 'cm') - - - - -# loop across control units -storegaps <- - matrix(NA, - length(1960:2003), - length(unique(d$index))-1 - ) -rownames(storegaps) <- 1960:2003 -i <- 1 -co <- unique(d$index) - -for(k in unique(d$index)[-7]){ - - # data prep for training model - dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry",1971:1980, c("mean")), - list("schooling" ,c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = k, - controls.identifier = co[-which(co==k)], - time.predictors.prior = 1971:1989, - time.optimize.ssr = 1971:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - - # fit training model - synth.out <- - synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - - # data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = k, - controls.identifier = co[-which(co==k)], - time.predictors.prior = 1960:1990, - time.optimize.ssr = 1960:1989, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit main model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) - ) - - storegaps[,i] <- - dataprep.out$Y1- - (dataprep.out$Y0%*%synth.out$solution.w) - i <- i + 1 -} # close loop over control units -d <- d[order(d$index,d$year),] -colnames(storegaps) <- unique(d$country)[-7] -storegaps <- cbind(gap,storegaps) -colnames(storegaps)[1] <- c("West Germany") - - - -# Placebo gaps -# Figure 6 -sgaps <- as.data.frame(storegaps) -sgaps$year <- rownames(sgaps) -sgaps <- reshape2::melt(sgaps,id.vars = "year") - - -sgaps$west.germany <- ifelse(sgaps$variable == "West Germany", "West Germany", "Not West Germany") -sgaps$west.germany.size <- ifelse(sgaps$west.germany == "West Germany", "1","2") - -sgaps$year <- as.numeric(sgaps$year) - -data.to.plot$west.germany <- ifelse(data.to.plot$country == "West Germany", "West Germany", "Not West Germany") -ggplot(data = sgaps, aes(x = year, y = value, - group = variable, - color = west.germany, - linetype = west.germany.size)) + - geom_line() + - labs(color = "West Germany?")+ - guides(linetype = FALSE) + - theme_bw(base_size = 10) + - theme(legend.position = "bottom") + - geom_vline(xintercept = 1990, - color = "#88419d") + - annotate("text", x = 1985, - label="Reunification", y = 4000, - colour = "#88419d", alpha = 0.8, angle = 0) + - scale_y_continuous(name="Gap in per-capita GDP (PPP, 2002 USD)", - labels = comma_format(big.mark = ",", - decimal.mark = ".")) + - scale_color_manual(values = graphcolors) + - coord_cartesian(ylim = c(-5000, 5000)) #+ - #ggsave(paste0("figures/allrmspe.pdf"), - # width = 15, height = 10, units = 'cm') - - - - - - - -# Figure 7 -# compute ratio of post-reunification RMSPE -# to pre-reunification RMSPE -rmse <- function(x){sqrt(mean(x^2))} -preloss <- apply(storegaps[1:30,],2,rmse) -postloss <- apply(storegaps[31:44,],2,rmse) -prepost <- sort(postloss/preloss) -prepost <- t(t(prepost)) - -prepost <- data.frame(Country = rownames(prepost), RMSPE = prepost) -rownames(prepost) <- NULL -prepost$Country <- factor(prepost$Country, - levels = prepost$Country[order(prepost$RMSPE)]) - - -prepost$west.germany <- ifelse(prepost$Country== "West Germany", "West Germany", "Not West Germany") - -ggplot(prepost, aes(x = Country, y = RMSPE)) + - geom_point(stat = 'identity', size = 6, aes(color = west.germany)) + - theme_bw(base_size = 10) + - coord_flip() + - ylab("Post-Period RMSE / Pre-Period RMSE") + - scale_color_manual(values = graphcolors) + - guides(color = FALSE) #+ - #ggsave(paste0("figures/RMSPERatio.pdf"), - # width = 15, height = 10, units = 'cm') - - - - - diff --git a/presentations/synthetic_control/replication_files_btsa/rep_original.r b/presentations/synthetic_control/replication_files_btsa/rep_original.r deleted file mode 100755 index f1b77a1..0000000 --- a/presentations/synthetic_control/replication_files_btsa/rep_original.r +++ /dev/null @@ -1,640 +0,0 @@ -## Replication Code for -# A. Abadie, A. Diamond, and J. Hainmueller. 2014. -# Comparative Politics and the Synthetic Control Method -# American Journal of Political Science. - -rm(list=ls()) -library(foreign) -library("Synth") -library(xtable) - -# Load Data -d <- read.dta("repgermany.dta") - -## Table 1 & 2, Figure 1, 2, & 3 - -## pick v by cross-validation -# data setup for training model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry", 1971:1980, c("mean")), - list("schooling",c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1971:1980, - time.optimize.ssr = 1981:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit training model -synth.out <- - synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - -# data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1981:1990, - time.optimize.ssr = 1960:1989, - unit.names.variable = 2, - time.plot = 1960:2003 -) - -# fit main model with v from training model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) - ) - -#### Table 2 -synth.tables <- synth.tab( - dataprep.res = dataprep.out, - synth.res = synth.out - ); synth.tables - -# Replace means for OECD sample (computed externally using proper pop weighting) -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -colnames(synth.tables$tab.pred)[3] <- "Rest of OECD Sample" -rownames(synth.tables$tab.pred) <- c("GDP per-capita","Trade openness", - "Inflation rate","Industry share", - "Schooling","Investment rate") - -xtable(round(synth.tables$tab.pred,1),digits=1) - -#### Table 1 -# synth weights -tab1 <- data.frame(synth.tables$tab.w) -tab1[,1] <- round(tab1[,1],2) -# regression weights -X0 <- cbind(1,t(dataprep.out$X0)) -X1 <- as.matrix(c(1,dataprep.out$X1)) -W <- X0%*%solve(t(X0)%*%X0)%*%X1 -Wdat <- data.frame(unit.numbers=as.numeric(rownames(X0)), - regression.w=round(W,2)) -tab1 <- merge(tab1,Wdat,by="unit.numbers") -tab1 <- tab1[order(tab1[,3]),] - -xtable(cbind(tab1[1:9,c(3,2,4)], - tab1[10:18,c(3,2,4)] - ) - ) - -#### Figure 1: Trends in Per-Capita GDP: West Germany vs. Rest of the OECD Sample -Text.height <- 23000 -Cex.set <- .8 -#pdf(file = "ger_vs_oecd.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) -plot(1960:2003,dataprep.out$Y1plot, - type="l",ylim=c(0,33000),col="black",lty="solid", - ylab ="per-capita GDP (PPP, 2002 USD)", - xlab ="year", - xaxs = "i", yaxs = "i", - lwd=2 - ) -lines(1960:2003,aggregate(d[,c("gdp")],by=list(d$year),mean,na.rm=T)[,2] - ,col="black",lty="dashed",lwd=2) # mean 2 -abline(v=1990,lty="dotted") -legend(x="bottomright", - legend=c("West Germany","rest of the OECD sample") - ,lty=c("solid","dashed"),col=c("black","black") - ,cex=.8,bg="white",lwd=c(2,2)) -arrows(1987,Text.height,1989,Text.height,col="black",length=.1) -text(1982.5,Text.height,"reunification",cex=Cex.set) -#dev.off() - -#### Figure 2: Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany -#pdf(file = "ger_vs_synthger2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) -synthY0 <- (dataprep.out$Y0%*%synth.out$solution.w) -plot(1960:2003,dataprep.out$Y1plot, - type="l",ylim=c(0,33000),col="black",lty="solid", - ylab ="per-capita GDP (PPP, 2002 USD)", - xlab ="year", - xaxs = "i", yaxs = "i", - lwd=2 - ) -lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) -abline(v=1990,lty="dotted") -legend(x="bottomright", - legend=c("West Germany","synthetic West Germany") - ,lty=c("solid","dashed"),col=c("black","black") - ,cex=.8,bg="white",lwd=c(2,2)) -arrows(1987,Text.height,1989,Text.height,col="black",length=.1) -text(1982.5,Text.height,"reunification",cex=Cex.set) -#dev.off() - -### Figure 3: Per-Capita GDP Gap Between West Germany and Synthetic West Germany -#pdf(file = "ger_vs_synthger_gaps2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) -gap <- dataprep.out$Y1-(dataprep.out$Y0%*%synth.out$solution.w) -plot(1960:2003,gap, - type="l",ylim=c(-4500,4500),col="black",lty="solid", - ylab =c("gap in per-capita GDP (PPP, 2002 USD)"), - xlab ="year", - xaxs = "i", yaxs = "i", - lwd=2 - ) -abline(v=1990,lty="dotted") -abline(h=0,lty="dotted") -arrows(1987,1000,1989,1000,col="black",length=.1) -text(1982.5,1000,"reunification",cex=Cex.set) -#dev.off() - -### Figure 4: Placebo Reunification 1975 - Trends in Per-Capita GDP: West Germany vs. Synthetic West Germany - -# data prep for training model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry",1971, c("mean")), - list("schooling",c(1960,1965), c("mean")), - list("invest60" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1960:1964, - time.optimize.ssr = 1965:1975, - unit.names.variable = 2, - time.plot = 1960:1990 - ) - -# fit training model -synth.out <- synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 -) - - -# data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1971:1975, c("mean")), - list("schooling",c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1965:1975, - time.optimize.ssr = 1960:1975, - unit.names.variable = 2, - time.plot = 1960:1990 - ) - -# fit main model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) -) - -Cex.set <- 1 -#pdf(file = "2intimeplacebo1975.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) -plot(1960:1990,dataprep.out$Y1plot, - type="l",ylim=c(0,33000),col="black",lty="solid", - ylab ="per-capita GDP (PPP, 2002 USD)", - xlab ="year", - xaxs = "i", yaxs = "i", - lwd=2 - ) -lines(1960:1990,(dataprep.out$Y0%*%synth.out$solution.w),col="black",lty="dashed",lwd=2) -abline(v=1975,lty="dotted") -legend(x="bottomright", - legend=c("West Germany","synthetic West Germany") - ,lty=c("solid","dashed"),col=c("black","black") - ,cex=.8,bg="white",lwd=c(2,2)) -arrows(1973,20000,1974.5,20000,col="black",length=.1) -text(1967.5,20000,"placebo reunification",cex=Cex.set) -#dev.off() - - -### Figure 5: Ratio of post-reunification RMSPE to pre-reunification RMSPE: West Germany and control countries. - -# loop across control units -storegaps <- - matrix(NA, - length(1960:2003), - length(unique(d$index))-1 - ) -rownames(storegaps) <- 1960:2003 -i <- 1 -co <- unique(d$index) - -for(k in unique(d$index)[-7]){ - - # data prep for training model - dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry",1971:1980, c("mean")), - list("schooling" ,c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = k, - controls.identifier = co[-which(co==k)], - time.predictors.prior = 1971:1980, - time.optimize.ssr = 1981:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - - # fit training model - synth.out <- - synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - - # data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = k, - controls.identifier = co[-which(co==k)], - time.predictors.prior = 1981:1990, - time.optimize.ssr = 1960:1989, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit main model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) - ) - - storegaps[,i] <- - dataprep.out$Y1- - (dataprep.out$Y0%*%synth.out$solution.w) - i <- i + 1 -} # close loop over control units -d <- d[order(d$index,d$year),] -colnames(storegaps) <- unique(d$country)[-7] -storegaps <- cbind(gap,storegaps) -colnames(storegaps)[1] <- c("West Germany") - -# compute ratio of post-reunification RMSPE -# to pre-reunification RMSPE -rmse <- function(x){sqrt(mean(x^2))} -preloss <- apply(storegaps[1:30,],2,rmse) -postloss <- apply(storegaps[31:44,],2,rmse) - -#pdf("2ratio_post_to_preperiod_rmse2a.pdf") -dotchart(sort(postloss/preloss), - xlab="Post-Period RMSE / Pre-Period RMSE", - pch=19) -#dev.off() - -### Figure 6: Leave-one-out distribution of the synthetic control for West Germany - -# loop over leave one outs -storegaps <- - matrix(NA, - length(1960:2003), - 5) -colnames(storegaps) <- c(1,3,9,12,14) -co <- unique(d$index)[-7] - -for(k in 1:5){ - -# data prep for training model -omit <- c(1,3,9,12,14)[k] - dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry",1971:1980, c("mean")), - list("schooling" ,c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = co[-which(co==omit)], - time.predictors.prior = 1971:1980, - time.optimize.ssr = 1981:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - - # fit training model - synth.out <- synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - -# data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = co[-which(co==omit)], - time.predictors.prior = 1981:1990, - time.optimize.ssr = 1960:1989, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - - # fit main model - synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) - ) - storegaps[,k] <- (dataprep.out$Y0%*%synth.out$solution.w) -} # close loop over leave one outs - -Text.height <- 23000 -Cex.set <- .8 -#pdf(file = "1jackknife2.pdf", width = 5.5, height = 5.5, family = "Times",pointsize = 12) -plot(1960:2003,dataprep.out$Y1plot, - type="l",ylim=c(0,33000),col="black",lty="solid", - ylab ="per-capita GDP (PPP, 2002 USD)", - xlab ="year", - xaxs = "i", yaxs = "i",lwd=2 - ) - -abline(v=1990,lty="dotted") -arrows(1987,23000,1989,23000,col="black",length=.1) - for(i in 1:5){ - lines(1960:2003,storegaps[,i],col="darkgrey",lty="solid") - } -lines(1960:2003,synthY0,col="black",lty="dashed",lwd=2) -lines(1960:2003,dataprep.out$Y1plot,col="black",lty="solid",lwd=2) -text(1982.5,23000,"reunification",cex=.8) -legend(x="bottomright", - legend=c("West Germany", - "synthetic West Germany", - "synthetic West Germany (leave-one-out)") - ,lty=c("solid","dashed","solid"), - col=c("black","black","darkgrey") - ,cex=.8,bg="white",lwdc(2,2,1)) -#dev.off() - - -### Table 3: Synthetic Weights from Combinations of Control Countries -rm(list=ls()) -library(gtools) -library(kernlab) - -# data prep for training model -d <- read.dta("repgermany.dta") -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry", 1971:1980, c("mean")), - list("schooling",c(1970,1975), c("mean")), - list("invest70" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1971:1980, - time.optimize.ssr = 1981:1990, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit training model -synth.out <- - synth( - data.prep.obj=dataprep.out, - Margin.ipop=.005,Sigf.ipop=7,Bound.ipop=6 - ) - -# data prep for main model -dataprep.out <- - dataprep( - foo = d, - predictors = c("gdp","trade","infrate"), - dependent = "gdp", - unit.variable = 1, - time.variable = 3, - special.predictors = list( - list("industry" ,1981:1990, c("mean")), - list("schooling",c(1980,1985), c("mean")), - list("invest80" ,1980, c("mean")) - ), - treatment.identifier = 7, - controls.identifier = unique(d$index)[-7], - time.predictors.prior = 1981:1990, - time.optimize.ssr = 1960:1989, - unit.names.variable = 2, - time.plot = 1960:2003 - ) - -# fit main model with v from training model -synth.out <- synth( - data.prep.obj=dataprep.out, - custom.v=as.numeric(synth.out$solution.v) -) - -synth.tables <- synth.tab( - dataprep.res = dataprep.out, - synth.res = synth.out -) - -table3 <- list() -synth.tables$tab.w[,1] <- round(synth.tables$tab.w[,1],2) -table3[[5]] <-synth.tables$tab.w[order(-1*synth.tables$tab.w[,1]),2:1][1:5,] - -# compute loss for all combinations -# of 4, 3, 2, 1 sized donor pools - -# get W and v -solution.w <- round(synth.out$solution.w,3) -V <- diag(as.numeric(synth.out$solution.v)) - -# compute scaled Xs -nvarsV <- dim(dataprep.out$X0)[1] -big.dataframe <- cbind(dataprep.out$X0, dataprep.out$X1) -divisor <- sqrt(apply(big.dataframe, 1, var)) -scaled.matrix <- - t(t(big.dataframe) %*% ( 1/(divisor) * - diag(rep(dim(big.dataframe)[1], 1)) )) -X0.scaled <- scaled.matrix[,c(1:(dim(dataprep.out$X0)[2]))] -X1.scaled <- as.matrix(scaled.matrix[,dim(scaled.matrix)[2]]) - -dn <- d[d$year==1970,c("country","index")] -dn <- dn[order(dn$index),] -dn <- dn[-7,] - -table2store <- matrix(NA,nrow(dataprep.out$X1),4) -fig7store <- matrix(NA,length(1960:2003),4) - -# loop through number of controls -for(pp in 4:1){ - store <- combinations(length(unique(d$index)[-7]), - r=pp, v=unique(d$index)[-7]) - store.loss <- matrix(NA,nrow=nrow(store),1) - store.w <- matrix(NA,nrow=nrow(store),pp) - store.c <- store.w - -# loop through combinations - for(k in 1:nrow(store)){ - # index positions of control units - posvector <- c() - for(i in 1:pp){ - posvector <- c(posvector,which(dn$index==store[k,i])) - } - - # run quad optimization - X0temp <- X0.scaled[ , posvector ] - H <- t(X0temp) %*% V %*% (X0temp) - c <- -1*c(t(X1.scaled) %*% V %*% (X0temp) ) - - if(pp == 1){ - solution.w <- matrix(1) - } else { - res <- ipop(c = c, H = H, A = t(rep(1, length(c))), - b = 1, l = rep(0, length(c)), - u = rep(1, length(c)), r = 0, - margin = 0.005,sigf = 7, bound = 6) - solution.w <- as.matrix(primal(res)) - } - loss.w <- t(X1.scaled - X0temp %*% solution.w) %*% V %*% (X1.scaled - X0temp %*% solution.w) - - store.loss[k] <- loss.w - store.w[k,] <- t(solution.w) - store.c[k,] <- dn$country[posvector] - } # close loop over combinations - -# get best fitting combination - dat <- data.frame(store.loss, - store, - store.c, - store.w - ) - colnames(dat) <- c("loss", - paste("CNo",1:pp,sep=""), - paste("CNa",1:pp,sep=""), - paste("W",1:pp,sep="") - ) - dat <- dat[order(dat$loss),] - Countries <- dat[1,paste("CNo",1:pp,sep="")] - Cweights <- as.numeric(dat[1,paste("W",1:pp,sep="")]) - - outdat <- data.frame(unit.names=as.vector( - (t(as.vector(dat[1,paste("CNa",1:pp,sep="")])))), - w.weights=round(Cweights,2)) - -table3[[pp]]<- outdat[order(-1*outdat$w.weights),] - - # get posvector for fitting - posvector <- c() - if(pp == 1 ){ - posvector <- c(posvector,which(dn$index==Countries)) - } else { - for(i in 1:pp){ - posvector <- c(posvector,which(dn$index==Countries[1,i])) - } - } - - X0t <- as.matrix(dataprep.out$X0[,posvector])%*% as.matrix(Cweights) - table2store[,(4:1)[pp]] <- X0t - - fig7store[,(4:1)[pp]] <- - dataprep.out$Y0[,posvector]%*%as.matrix(Cweights) - -} # close loop over number of countries - -# Table 3 -table3 - -# Table 4 -synth.tables$tab.pred[,3] <- c(8021.1,31.9,7.4,34.2,44.1,25.9) -table4 <- round( - cbind(synth.tables$tab.pred[,1:2], - table2store, - synth.tables$tab.pred[,3]),1) -rownames(table4) <- c("GDP per-capita","Trade openness", - "Inflation rate","Industry share", - "Schooling","Investment rate") -colnames(table4)[2:7] <- c(5:1,"OECD Sample") -table4 - -## Figure 7: Per-Capita GDP Gaps Between West Germany and Sparse Synthetic Controls -Text.height <- 23000 -Cex.set <- .8 - -par(mfrow=c(2,2)) -for(pp in 4:1){ -#pdf(file = paste("2ger_vs_synth","CValt",pp,".pdf",sep=""), width = 5.5, height = 5.5, family = "Times",pointsize = 12) - plot(1960:2003,dataprep.out$Y1, - type="l",ylim=c(0,33000),col="black",lty="solid", - ylab ="per-capita GDP (PPP, 2002 USD)", - xlab ="year", - xaxs = "i", yaxs = "i", - lwd=2, - main=paste("No. of control countries: ",pp,sep="") - ) - lines(1960:2003,fig7store[,c(4:1)[pp]],col="black",lty="dashed",lwd=2) - abline(v=1990,lty="dotted") - legend(x="bottomright", - legend=c("West Germany","synthetic West Germany") - ,lty=c("solid","dashed"),col=c("black","black") - ,cex=.8,bg="white",lwd=c(2,2)) - arrows(1987,Text.height,1989,Text.height,col="black",length=.1) - text(1982.5,Text.height,"reunification",cex=Cex.set) - #dev.off() -} - - - diff --git a/presentations/synthetic_control/replication_files_btsa/repgermany.dta 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