Error(s) in re-building vignettes:
--- re-building ‘Introduction.Rmd’ using rmarkdown
Warning in doTryCatch(return(expr), name, parentenv, handler) :
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Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
Warning in doTryCatch(return(expr), name, parentenv, handler) :
  no font could be found for family "Arial"
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Quitting from lines 356-364 (Introduction.Rmd) 
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--- re-building ‘Stata.Rmd’ using rmarkdown
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--- re-building ‘TechnicalDetails.Rnw’ using knitr


  |   library("gapminder")
  |   suppressPackageStartupMessages(library("stargazer"))
  |   gapminder[["pop"]] <- gapminder[["pop"]]/1e6
  |   gapminder[["loggdp"]] <- log(gapminder[["gdpPercap"]])
  |   m1 <- lm(pop ~ loggdp + lifeExp, data = gapminder)
  |   m2 <- lm(pop ~ loggdp * lifeExp, data = gapminder)
  |   stargazer(m1, m2, dep.var.labels = "Population Size",
  |             title = "Example OLS Regression Output", 
  |             label = "tab:model1") 


  |   library("margins")
  |   layout(matrix(1:2, nrow = 1))
  |   persp(m1, zlab = "", zlim = c(-180, 180), main = "Additive Only (Model 1)")
  |   persp(m2, zlab = "", zlim = c(-180, 180), main = "Interaction Model (Model 2)") 


  |   local({
  |     c1 <- suppressWarnings(cplot(m1, "loggdp", n = 50, 
  |             xlab = "GDP Per Capita (Logged)",
  |             se.type = "shade",
  |             xlim = c(7,10), ylim = c(-30,80)))
  |     w <- c(which.min((c1[["xvals"]]-8)^2),
  |            which.min((c1[["xvals"]]-9)^2))
  |     # dashed
  |     segments(0, c1[w[2],"yvals"], 9, c1[w[2],"yvals"], lty = 2)
  |     segments(0, c1[w[1],"yvals"], 8, c1[w[1],"yvals"], lty = 2)
  |     segments(8, -30, 8, c1[w[1],"yvals"], lty = 2)
  |     segments(9, -30, 9, c1[w[2],"yvals"], lty = 2)
  |     
  |     # red
  |     segments(8, c1[w[1],"yvals"], 9, c1[w[2],"yvals"], 
  |              col = "red", lwd = 3)
  |     segments(8, c1[w[2],"yvals"], 9, c1[w[2],"yvals"], 
  |              col = "red", lwd = 3)
  |     segments(8, c1[w[2],"yvals"], 8, c1[w[1],"yvals"], 
  |              col = "red", lwd = 3)
  |     text(8, 20, expression(Delta(y) == -26.4), pos = 2, 
  |          cex = 2, col = "red")
  |     text(8.5, 0, expression(Delta(x) == 1), cex = 2, col = "red")
  |     text(9, 40, expression(ME(x) == -26.4), cex = 2, col = "red")
  |   }) 


  |   deriv(y ~ b1*x1 + b2*x2 + b3*x3 + b4*x1*x2 + 
  |             b5*x2*x3 + b6*x1*x3 + b7*x1*x2*x3, 
  |         c("x1", "x2", "x3")) 


  |   deriv(y ~ b1*x1 + b2*x1squared + b3*x2, c("x1", "x2")) 


  |   curve(x^2, from = -5, to = 4, lwd = 2, las = 1, 
  |        xlim = c(-1, 4), ylim = c(0,10), 
  |        xaxt = "n", yaxs = "i", yaxs = "i",
  |        ylab = "", bty = "l")
  |   axis(1, c(0, 1, 1.25, 1.5, 2, 3))
  |   text(-0.25, 1, expression(f(x) == x^2))
  |   mtext(expression(f(x)), 2, 2, las = 1)
  |   
  |   # vertical lines
  |   segments(1,0, 1,1, lty = 2)
  |   segments(1.25,0, 1.25,1.5625, lty = 2)
  |   segments(1.5,0, 1.5,2.25, lty = 2)
  |   segments(2,0, 2,4, lty = 2)
  |   segments(3,0, 3,9, lty = 2)
  |   
  |   # tangents
  |   segments(0,-1, 5,9, col = "blue", lwd = 2)
  |   segments(1,1, 1.25, 1.5625, col = "red", lwd = 2)
  |   segments(1,1, 1.5, 2.25, col = "red", lwd = 2)
  |   segments(1,1, 2, 4, col = "red", lwd = 2)
  |   segments(1,1, 3, 9, col = "red", lwd = 2)
  |   
  |   # text
  |   text(3.1, 9, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(3) - f(1), 2), " = 4")), pos = 4 )
  |   text(3.1, 4, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(2) - f(1), 1), " = 3")), pos = 4 )
  |   text(3.1, 2.5, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(1.5) - f(1), 0.5), " = 2.5")), pos = 4 )
  |   text(3.1, 1.5, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(1.25) - f(1), 0.25), " = 2.25")), pos = 4 )
  |   text(3.1, 0.5, "...", pos = 4) 


  |   curve(x^2, from = -5, to = 4, lwd = 2, las = 1, 
  |        xlim = c(-1, 4), ylim = c(0,10), 
  |        xaxt = "n", yaxs = "i", yaxs = "i",
  |        ylab = "", bty = "l")
  |   abline(h = 0, col = "gray")
  |   axis(1, c(0, 0.5, 1, 1.5, 2, 3))
  |   text(-0.25, 1, expression(f(x) == x^2))
  |   mtext(expression(f(x)), 2, 2, las = 1)
  |   
  |   # vertical lines
  |   segments(1,0, 1,1, lty = 2)
  |   segments(1.5,0, 1.5,2.25, lty = 2)
  |   segments(2,0, 2,4, lty = 2)
  |   segments(3,0, 3,9, lty = 2)
  |   
  |   # tangents
  |   segments(0,-1, 5,9, col = "blue", lwd = 2)
  |   segments(0.5,0.25, 1.5,2.25, col = "red", lwd = 2)
  |   segments(0,0, 2,4, col = "red", lwd = 2)
  |   segments(-1,1, 3,9, col = "red", lwd = 2)
  |   
  |   # text
  |   text(3.1, 9, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(3) - f(-1), 4), " = 2")), pos = 4 )
  |   text(3.1, 4, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(2) - f(0), 2), " = 2")), pos = 4 )
  |   text(3.1, 2.5, expression(paste(frac(paste(Delta, y), paste(Delta, x)) == frac(f(1.5) - f(0.5), 1), " = 2")), pos = 4 )
  |   text(3.1, 0.5, "...", pos = 4) 


  |   str(mar2 <- margins(m2)) 


  |   mar2
  |   summary(mar2) 


  |   library("datasets")
  |   m <- lm(mpg ~ wt + am + factor(cyl), data = mtcars)
  |   margins(m)
  |   summary(margins(m)) 


  |   m <- lm(mpg ~ wt * am + I(wt^2) * am, data = mtcars)
  |   summary(margins(m, at = list(am = 0:1))) 


  |   m <- lm(mpg ~ wt * I(wt^2) * hp * I(hp^2), data = mtcars)
  |   margins(m) 


  |   cplot(m, "wt")
  |   cplot(m, "hp") 


  |   persp(m, "wt", "hp")
  |   image(m, "wt", "hp") 


  |   m <- lm(mpg ~ wt + am + factor(cyl), data = mtcars)
  |   plot(margins(m)) 


  |   m <- lm(mpg ~ wt * I(wt^2) * hp * I(hp^2), data = mtcars)
  |   cplot(m, "wt", what = "effect")
  |   persp(m, "wt", "hp", what = "effect", phi = 30)
  |   image(m, "wt", "hp", what = "effect") 


  |   m3a <- lm(pop ~ loggdp, data = gapminder)
  |   m3b <- lm(pop ~ I(log(gdpPercap)), data = gapminder)
  |   stargazer(m3a, m3b, dep.var.labels = "Population Size",
  |             title = "Example of Log Transformation", 
  |             label = "tab:model3") 


  |   summary(margins(m3b)) 


  |   summary(margins(m3a)) 

Chunk summary:
  Average marginal effects 

mar2
summary(mar2)
Chunk summary:
  lm(formula = pop ~ loggdp * lifeExp, data = gapminder) 

mar2
summary(mar2)
Chunk margins1:
  Average marginal effects 

library("datasets")
m <- lm(mpg ~ wt + am + factor(cyl), data = mtcars)
margins(m)
summary(margins(m))
Chunk margins1:
  lm(formula = mpg ~ wt + am + factor(cyl), data = mtcars) 

library("datasets")
m <- lm(mpg ~ wt + am + factor(cyl), data = mtcars)
margins(m)
summary(margins(m))
Chunk margins3a:
  Average marginal effects 

m <- lm(mpg ~ wt * I(wt^2) * hp * I(hp^2), data = mtcars)
margins(m)
Chunk margins3a:
  lm(formula = mpg ~ wt * I(wt^2) * hp * I(hp^2), data = mtcars) 

m <- lm(mpg ~ wt * I(wt^2) * hp * I(hp^2), data = mtcars)
margins(m)

Number of messages:
message 
      6 
--- finished re-building ‘TechnicalDetails.Rnw’

SUMMARY: processing the following file failed:
  ‘Introduction.Rmd’

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