The goal of pgsc is to provide an estimation and testing framework for Powell's Generalized Synthetic Control method. This provides consistent estimates in the presence of unobserved spatially-correlated factors in a panel. Please see the vignette for further details and an extended example.
This version is stable, and user-friendly. New features might be availble in the development version on github, which can be installed via:
devtools::install_github("philipbarrett/pgsc")
This is a basic example which provides estimation and testing for a dataset with omitted variables that cannot be addressed by time and unit fixed effects. Please see the vignette for further details on this example and other options.
#' data("pgsc.dta")
#' library(plm)
#' pan <- plm( y ~ D1 + D2 + X1 + X2 + X3, pgsc.dta, effect = 'twoways', index = c('n','t'))
#' summary(pan)
#' # Failure of panel estimation: the true coefficients on D1, D2 are c(1,2),
#' # which are not recovered due to omitted variables which are spatially
#' # correlated. The "twoway" (time/unit) fixed effects cannot pick this up.
#' sol <- pgsc(pgsc.dta, dep.var = 'y', indep.var = c('D1','D2'),
#' b.init = c(0,0), method='twostep.indiv' )
#' summary(sol)
#' # The unrestricted estimation.
#' g.i <- function(b) b[1] ; g.i.grad <- function(b) c(1,0)
#' sol.r <- pgsc(pgsc.dta, dep.var = 'y', indep.var = c('D1','D2'),
#' b.init = sol$b, method='twostep.indiv', g.i=g.i, g.i.grad=g.i.grad )
#' # Restricted estimation under the hypothesis that b[1]=0
#' summary(sol.r)
#' wald <- pgsc.wald.test( pgsc.dta, 'y', indep.var = c('D1','D2'), sol.r )
#' summary(wald)
#' plot(wald)
#' # Testing the hypothesized restriction. It is comfortably rejected.
#' browseVignettes('pgsc')
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