#' @title Plot tau in theta_y across Metropolis samples
#'
#' @description \code{theta_y_plot_tau} plots tau in theta_y for a given ordinal index across Metropolis samples given a bundle of relevant variables generated by \code{bundle_theta_y_sample}.
#'
#' @param bundle The bundle of variables (see \code{bundle_theta_y_sample})
#' @param j Index for which set of tau variables to plot
#' @param decim An integer for sampling (decimating) data to reduce the number of points for very large samples [optional; default = 1 for all samples]
#' @param fileName Filename for pdf save file [optional]
#'
# @keywords
#' @export
#'
#' @author Michael Holton Price <MichaelHoltonPrice@gmail.com>
theta_y_plot_tau <- function(bundle,j,decim=1,fileName=NA) {
if(!bundle$haveNames) {
varName <- paste('ord',as.character(j),sep='')
} else {
varName <- bundle$varNames[j]
}
ind <- seq(1,length(bundle$theta_yList),by=decim)
toFile <- !is.na(fileName)
options(warn=-1) # in case M < 3
colVect <- RColorBrewer::brewer.pal(n=bundle$hp$M[j],name='Set1')
options(warn=0)
if(length(colVect) < bundle$hp$M[j]) {
colVect <- colVect[0:(bundle$hp$M[j]-1) %% length(colVect) + 1]
}
valList <- lapply(bundle$theta_yList,function(x){x$tau[[j]]})
yMin <- Inf
yMax <- -Inf
yMin <- min(yMin,unlist(valList))
yMax <- max(yMax,unlist(valList))
if(bundle$haveKnown) {
v <- bundle$known$theta_y$tau[[j]]
yMin <- min(yMin,v)
yMax <- max(yMax,v)
}
if(toFile) {
pdf(fileName)
}
plot(1,type="n",xlab="Sample", ylab='tau',xlim=c(0,max(ind)),ylim=c(yMin,yMax),main=varName)
for(m in 1:bundle$hp$M[j]) {
points(ind,sapply(valList,function(x){x[m]})[ind],col=colVect[m],pch=20)
if(bundle$haveKnown) {
lines(c(0,max(ind)),c(1,1)*v[m],col=colVect[m],lwd=3)
}
}
legend('left',legend=as.character(1:bundle$hp$M[j]),col=colVect,lty=1,lwd=3)
if(toFile) {
dev.off()
}
}
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