######################################################## ##### ESLR - RD + MATCHING PLOTING - AgCensus Data ##### ######################################################## rm(list = ls()) # Clear variables require(foreign) require(ggplot2) require(rgdal) require(rgeos) require(RColorBrewer) # creates nice color schemes require(maptools) # loads sp library too require(scales) # customize scales require(gridExtra) # mutiple plots require(plyr) # join function require(dplyr) require(mapproj) # projection tools require(raster) # raster tools require(ggvis) # visualize estimators require(rdrobust) # rd estimation tools require(stringdist) # approximate string matching require(gdata) require(rdd) # sorting tests require(stargazer) # format tables require(haven) require(readstata13) require(TOSTER) require(MatchIt) require(imputeTS) require(opmatch) require(cem) require(tcltk) require(extrafont) ######################################## ## Load IV Censo Agropecuario Data: censo_ag_wreform <- read.dta13(file="Data/censo_ag_wreform.dta") ######################################## ## Making Standarized Coefficient Plots: # Set aesthetics: aesthetics <- list( theme_bw(), theme(legend.title=element_blank(), text=element_text(family="Palatino"), #legend.justification=c(0,0), #legend.position= "right", #c(1,0), #panel.grid.minor=element_blank(), #panel.grid.major=element_blank(), plot.background=element_rect(colour="white",fill="white"), panel.grid.major=element_blank(), panel.grid.minor=element_blank(), axis.text.x=element_text(angle=45, face="bold",hjust=1), axis.title.y=element_text(face="bold.italic"), axis.title.x=element_blank())) #(face="bold.italic"))) ######################################## lm.beta <- function (MOD, dta,y="ln_agprod") { b <- MOD$coef[1] model.dta <- filter(dta, norm_dist > -1*MOD$bws["h","left"] & norm_dist < MOD$bws["h","right"] ) sx <- sd(model.dta[,c("Above500")]) #sx <- sd(model.dta[,c("norm_dist")]) sy <- sd((model.dta[,c(y)]),na.rm=TRUE) beta <- b * sx/sy return(beta) } lm.beta.ses <- function (MOD, dta,y="ln_agprod") { b <- MOD$se[1] model.dta <- filter(dta, norm_dist > -1*MOD$bws["h","left"] & norm_dist < MOD$bws["h","right"] ) sx <- sd(model.dta[,c("Above500")]) #sx <- sd(model.dta[,c("norm_dist")]) sy <- sd((model.dta[,c(y)]),na.rm=TRUE) beta <- b * sx/sy return(beta) } lm.beta.match <- function (MOD, dta,y="ln_agprod") { b <- MOD[2,1] model.dta <- dta # filter(dta, norm_dist > -1*MOD$bws["h","left"] & norm_dist < MOD$bws["h","right"] ) sx <- sd(model.dta[,c("reform")],na.rm = TRUE) #sx <- sd(model.dta[,c("norm_dist")]) sy <- sd((model.dta[,c(y)]),na.rm=TRUE) beta <- b * sx/sy return(beta) } lm.beta.ses.match <- function (MOD, dta,y="ln_agprod") { b <- MOD[2,2] model.dta <- dta # filter(dta, norm_dist > -1*MOD$bws["h","left"] & norm_dist < MOD$bws["h","right"] ) sx <- sd(model.dta[,c("reform")],na.rm = TRUE) #sx <- sd(model.dta[,c("norm_dist")]) sy <- sd((model.dta[,c(y)]),na.rm=TRUE) beta <- b * sx/sy return(beta) } winsor <- function (x, fraction=.01) { if(length(fraction) != 1 || fraction < 0 || fraction > 0.5) { stop("bad value for 'fraction'") } lim <- quantile(x, probs=c(fraction, 1-fraction),na.rm = TRUE) x[ x < lim[1] ] <- NA #lim[1] 8888 x[ x > lim[2] ] <- NA #lim[2] 8888 x } winsor1 <- function (x, fraction=.01) { if(length(fraction) != 1 || fraction < 0 || fraction > 0.5) { stop("bad value for 'fraction'") } lim <- quantile(x, probs=c(fraction, 1-fraction),na.rm = TRUE) x[ x < lim[1] ] <- lim[1] #lim[1] 8888 x[ x > lim[2] ] <- lim[2] #lim[2] 8888 x } winsor2 <-function (x, multiple=3) { if(length(multiple) != 1 || multiple <= 0) { stop("bad value for 'multiple'") } med <- median(x) y <- x - med sc <- mad(y, center=0) * multiple y[ y > sc ] <- sc y[ y < -sc ] <- -sc y + med } ######################################## polys <- c(1) # 1 kernels <- c("triangular") bwsel <- c("mserd") num_outcomes <- 3 # 3 ag prod; staple share + 2 yields; cash + 2 yields; income results matching_methods <- c("nearest", "full", "cem", "optimal") num_ests <- (length(polys)*(length(kernels)*length(bwsel)) + length(matching_methods))*num_outcomes estimates <-data.frame(y_var = rep(0, num_ests), estimate = rep(0, num_ests), ses = rep(0, num_ests), p = rep(0,num_ests), ks = rep(0,num_ests), bs = rep(0,num_ests), nsl= rep(0,num_ests), nsr= rep(0,num_ests), nslII= rep(0,num_ests), nsrII= rep(0,num_ests), nslIII= rep(0,num_ests), nsrIII= rep(0,num_ests), est_method = rep(0,num_ests)) censo_ag_wreform_tev <- mutate(censo_ag_wreform, ln_agprodII = ln_agprod, ln_agprod = ln_agprod_pricew_crops) ## Other covariates for matching: ag.grouped <- group_by(censo_ag_wreform_tev,Expropretario_ISTA) ag.grouped <- mutate(ag.grouped, num_per_owner = n()) censo_ag_wreform_tev$num_per_owner<- ag.grouped$num_per_owner censo_ag_wreform_tev$mult_per_owner <- ifelse(censo_ag_wreform_tev$num_per_owner > 1, 1, 0) # Het by Distance to Urban Centers: canton_covs <- read_dta("Data/cantons_dists.dta") canton_covs <- canton_covs %>% mutate(CODIGO = (as_factor(COD_CTON))) canton_covs <- canton_covs %>% mutate(CODIGO = gsub("(?% mutate(CODIGO = as.numeric(CODIGO)) %>% dplyr::select(CODIGO,dist_ES_capital, dist_dept_capitals) censo_ag_wreform_tev <- left_join(censo_ag_wreform_tev,canton_covs, by="CODIGO") censo_ag_wreform_tev <- censo_ag_wreform_tev %>% mutate(Close_ES_Capital = ifelse(dist_ES_capital < 50000,1,0), Close_Dept_Capitals = ifelse(dist_dept_capitals < 50000,1,0), canton_land_suit = ifelse(is.na(canton_land_suit),0,canton_land_suit)) censo_ag_wreform_tev2 <- censo_ag_wreform_tev years <- 2007 for (i in years) { # Estimate and Save RD for configurations: # Agricultural Variables -- RD Estimates: count <-1 for (p in polys) { for (k in kernels) { for (b in bwsel) { # Cash Crop Share: rdests <- rdrobust(y = winsor(censo_ag_wreform_tev$CashCrop_Share), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="CashCrop_Share") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="CashCrop_Share") estimates[count,c("y_var")] <- "Cash Crop Share" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Sugar Cane Yield: rdests <- rdrobust(y = (censo_ag_wreform_tev$SugarCane_Yield), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, #bwselect = b, h = 102.877, b = 166.088, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="SugarCane_Yield") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="SugarCane_Yield") #/2 estimates[count,c("y_var")] <- "Sugar Cane Yield" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Coffee Yield: rdests <- rdrobust(y = (censo_ag_wreform_tev$Coffee_Yield), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="Coffee_Yield") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="Coffee_Yield") estimates[count,c("y_var")] <- "Coffee Yield" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Staple Crop Share: rdests <- rdrobust(y = (censo_ag_wreform_tev$StapleCrop_Share), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="StapleCrop_Share") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="StapleCrop_Share") estimates[count,c("y_var")] <- "Staple Crop Share" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Bean Yield: rdests <- rdrobust(y =censo_ag_wreform_tev$Beans_Yield, # winsor1(censo_ag_wreform_tev$Beans_Yield,fraction = 0.025) x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, # bwselect = b, h = 122.64, b = 207.42, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="Beans_Yield") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="Beans_Yield") estimates[count,c("y_var")] <- "Beans Yield" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Maize Yield: rdests <- rdrobust(y = (censo_ag_wreform_tev$Maize_Yield), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, #bwselect = b, h = 91.611 , b = 146.499 , cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="Maize_Yield") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="Maize_Yield") estimates[count,c("y_var")] <- "Maize Yield" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Revenues: rdests <- rdrobust(y = (censo_ag_wreform_tev$ln_agprod), x=(censo_ag_wreform_tev$norm_dist), c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_agprod") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_agprod") estimates[count,c("y_var")] <- "Revenues per ha" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # Profits: rdests <- rdrobust(y = (censo_ag_wreform_tev$ln_agprodII), x=censo_ag_wreform_tev$norm_dist, c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_agprodII") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_agprodII") estimates[count,c("y_var")] <- "Profits per ha" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 # TFP: rdests <- rdrobust(y = (censo_ag_wreform_tev$ln_tfp_geo), x=censo_ag_wreform_tev$norm_dist, c = 0, p = p, q = p +1, kernel = k, bwselect = b, cluster=(censo_ag_wreform_tev$Expropretario_ISTA), vce="hc1") estimates[count,c("estimate")] <-lm.beta(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_tfp_geo") estimates[count,c("ses")] <- lm.beta.ses(MOD=rdests, dta=censo_ag_wreform_tev, y="ln_tfp_geo") estimates[count,c("y_var")] <- "Farm Productivity" estimates[count,c("est_method")] <- paste0("RD: Local ", ifelse(p==1,"Linear","Quadratic"), " Polynomial") count <- count + 1 } } } # Agricultural Variables -- Matching Estimates: for (m in matching_methods) { ## Match Datasets: to_match <- filter(censo_ag_wreform_tev, !is.na(reform)) covs <- c("canton_mean_rain","canton_land_suit", "canton_elev_dem_30sec", "canton_coffee_suit","sugarcane_suit","miaze_suit","bean_suit","canton_mean_rain", "mult_per_owner", "dist_ES_capital" , "dist_dept_capitals", "Area_has") to_match<-to_match[complete.cases(to_match[,covs]),] matched.data<- matchit(reform ~ canton_coffee_suit + sugarcane_suit + miaze_suit + bean_suit + canton_mean_rain + canton_land_suit + canton_elev_dem_30sec + mult_per_owner + dist_ES_capital + dist_dept_capitals + Area_has, data = to_match, method = m) # Matching estimate # Cash Crop Share fit1 <- lm(CashCrop_Share ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="CashCrop_Share") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="CashCrop_Share") estimates[count,c("y_var")] <- "Cash Crop Share" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Sugar Cane fit1 <- lm(SugarCane_Yield ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="SugarCane_Yield") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="SugarCane_Yield") estimates[count,c("y_var")] <- "Sugar Cane Yield" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Coffee fit1 <- lm(Coffee_Yield ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="Coffee_Yield") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="Coffee_Yield") estimates[count,c("y_var")] <- "Coffee Yield" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Staple Crop Share fit1 <- lm(StapleCrop_Share ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="StapleCrop_Share") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="StapleCrop_Share") estimates[count,c("y_var")] <- "Staple Crop Share" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Maize fit1 <- lm(Maize_Yield ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="Maize_Yield") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="Maize_Yield") estimates[count,c("y_var")] <- "Maize Yield" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Beans fit1 <- lm(Beans_Yield ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="Beans_Yield") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="Beans_Yield") estimates[count,c("y_var")] <- "Beans Yield" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Revenues: fit1 <- lm(ln_agprod ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_agprod") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_agprod") estimates[count,c("y_var")] <- "Revenues per ha" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # Profits: fit1 <- lm(ln_agprodII ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_agprodII") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_agprodII") estimates[count,c("y_var")] <- "Profits per ha" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 # TFP: fit1 <- lm(ln_tfp_geo ~ reform, data = match.data(matched.data), weights = weights) ests<- coeftest(fit1, vcov. = vcovCL, cluster = ~subclass) estimates[count,c("estimate")] <-lm.beta.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_tfp_geo") estimates[count,c("ses")] <- lm.beta.ses.match(MOD=ests, dta=censo_ag_wreform_tev, y="ln_tfp_geo") estimates[count,c("y_var")] <- "Farm Productivity" estimates[count,c("est_method")] <- paste0("Matching: ", case_when(m=="optimal" ~ "Optimal", m=="nearest" ~ "Nearest Neighbor", m=="full" ~ "Full", m=="cem" ~ "Coarse Exact"), " Matching") count <- count + 1 } } estimates ######################################## # Clean data for plotting: alpha<- 0.05 Multiplier <- qnorm(1 - alpha / 2) Multiplier2 <- qnorm(1 - 2*alpha / 2) data <- estimates betas <- data dim(betas) betas<- betas[seq(dim(betas)[1],1),] # Create Matrix for plotting: MatrixofModels <- betas[c("y_var", "estimate","ses","est_method")] colnames(MatrixofModels) <- c("Outcome", "Estimate", "StandardError", "Method") MatrixofModels$Outcome <- factor(MatrixofModels$Outcome, levels = unique(MatrixofModels$Outcome)) # Re-Order for plotting: MatrixofModels$Outcome <- factor(MatrixofModels$Outcome, levels = c("Cash Crop Share", "Coffee Yield", "Sugar Cane Yield", "Staple Crop Share", "Maize Yield", "Beans Yield", "Revenues per ha", "Profits per ha", "Farm Productivity")) # Plot: OutputPlot <- qplot(Method, Estimate, ymin = Estimate - Multiplier * StandardError, ymax = Estimate + Multiplier * StandardError, data = MatrixofModels, geom = "pointrange", ylab = NULL, xlab = NULL, facets=~ Outcome, alpha=0.5) OutputPlot <- ggplot() + geom_errorbar(aes(x=Method, y=Estimate, ymin = Estimate - Multiplier * StandardError, ymax = Estimate + Multiplier * StandardError), data = MatrixofModels, size=0.6, width=0, alpha=0.5, col="black") + geom_point(aes(x=Method, y=Estimate), data = MatrixofModels, col="black",show.legend = FALSE) + facet_wrap(~Outcome) OutputPlot <- OutputPlot + geom_hline(yintercept = 0, lwd = I(7/12), colour = I(hsv(0/12, 7/12, 7/12)), alpha = I(5/12)) OutputPlot <- OutputPlot + theme_bw() + ylab("\nStandardized Effect") + aesthetics # Add 90% OutputPlot <- OutputPlot + geom_errorbar(aes(x=Method, y=Estimate, ymin = Estimate - Multiplier2 * StandardError, ymax = Estimate + Multiplier2 * StandardError), data = MatrixofModels, size=0.5, width=0, col="black",show.legend = FALSE) OutputPlot <- OutputPlot + geom_point(aes(x=Method, y=Estimate), data = MatrixofModels, col="black",show.legend = FALSE) # Save: OutputPlot + coord_flip() + scale_y_continuous(breaks = seq(-2, 1.5,0.5)) + xlab("") + coord_flip(ylim= c(-2,1.5)) ggsave(filename="./Output/CoefPlot_Matching.pdf", scale=1.25)