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#'plot prior and posterior distribution of hyperparameters
#'
#'\code{plotHyperDist} plot prior and posterior distribution of hyperparameters
#'
#'@param resExPrior output from the genExPrior function
#'@return a plot
#'@examples
#'\donttest{
#'exdata <- data.frame(val=c(c(2,3,4),c(2,1),c(6,7,2,3)),
#' site_id=c(rep("a",3),rep("b",2),rep("c",4)),
#' x = c(c(2,3,4),c(2,3),c(2,2,3,3)),
#' y = c(c(2,2,3),c(3,2),c(2,3,2,3)))
#'ex_prior <- genExPrior(exdata=exdata,theta=seq(from=-5,to=5,by=1))
#'plotHyperDist(ex_prior)
#'}
#'@import ggplot2
#'@export
plotHyperDist <- function(resExPrior){
# extract lists of priors and posteriors from resExPrior
d_prior <- resExPrior$d_hyperPar$d_hyperPar_prior
d_post <- resExPrior$d_hyperPar$d_hyperPar_post
# extract list of hyperparameters names
hyperPar <- resExPrior$hyperPar
g_list <- list()
for(i in 1:length(hyperPar)){
d_i <- data.frame(x=d_prior[[i]]$x,
prior=d_prior[[i]]$y,
post=d_post[[i]]$y)
d_i_long <- reshape2::melt(data = d_i,id.vars ="x")
g_list[[i]] <-
ggplot2::ggplot(d_i_long, ggplot2::aes(x=x, y=value, color=variable)) +
ggplot2::geom_line() +
ggplot2::labs(x = bquote(.(as.name(hyperPar[i]))), y = bquote('p')) +
ggplot2::ggtitle("") +
ggplot2::theme_bw() +
ggplot2::theme(legend.title=ggplot2::element_blank(), legend.position="bottom") +
ggplot2::scale_colour_manual(values=c('black', 'blue'),
labels=c(bquote('p(' * .(as.name(hyperPar[i]))*')'),
bquote('p(' * .(as.name(hyperPar[i])) * '|y)')))
}
multiplot(g_list[[1]], g_list[[2]], g_list[[3]], cols = 3)
}
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