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#' @title Plot an estimated CUB model
#' @description Plotting facility for the CUB estimation of ordinal responses.
#' @aliases cubvisual
#' @usage cubvisual(ordinal,csiplot=FALSE,paiplot=FALSE,...)
#' @param ordinal Vector of ordinal responses
#' @param csiplot Logical: should \eqn{\xi} or \eqn{1-\xi} be the \eqn{y} coordinate
#' @param paiplot Logical: should \eqn{\pi} or \eqn{1-\pi} be the \eqn{x} coordinate
#' @param ... Additional arguments to be passed to \code{plot()} and \code{text()}. Optionally, the number
#' \code{m} of ordinal categories may be passed: this is recommended if some category has zero frequency.
#' @details It represents an estimated CUB model as a point
#' in the parameter space with some useful options.
#' @return For a CUB model fit to \code{ordinal}, by default it returns a plot of the estimated
#' \eqn{(1-\pi, 1-\xi)} as a point in the parameter space. Depending on \code{csiplot} and \code{paiplot}
#' and on desired output, \eqn{x} and \eqn{y} coordinates may be set to \eqn{\pi} and \eqn{\xi}, respectively.
#' @keywords device
#' @export cubvisual
#' @import graphics
#' @examples
#' data(univer)
#' ordinal<-univer$global
#' cubvisual(ordinal,xlim=c(0,0.5),ylim=c(0.5,1),cex=0.8,main="Global Satisfaction")
cubvisual<-function(ordinal,csiplot=FALSE,paiplot=FALSE,...){
ellipsis.arg<-list(...)
xlim<-ellipsis.arg$xlim
if (is.null(xlim)){
xlim<-c(0,1)
}
ylim<-ellipsis.arg$ylim
if (is.null(ylim)){
ylim<-c(0,1)
}
pos<-ellipsis.arg$pos
if (is.null(pos)){
pos<-3
}
offset<-ellipsis.arg$offset
if (is.null(offset)){
offset<-0.5
}
font<-ellipsis.arg$font
if(is.null(font)){
font<-4
}
pch<-ellipsis.arg$pch
if (is.null(pch)){
pch<-19
}
cex<-ellipsis.arg$cex
if (is.null(cex)){
cex<-0.5
}
col<-ellipsis.arg$col
if (is.null(col)){
col<-"black"
}
xlab<-ellipsis.arg$xlab
if (is.null(xlab)){
xlab<-expression(paste("Uncertainty ", (1-pi)))
}
ylab<-ellipsis.arg$ylab
if (is.null(ylab)){
ylab<-expression(paste("Feeling ", (1-xi)))
}
main<-ellipsis.arg$main
if (is.null(main)){
main<-"CUB parameter space"
}
m<-ellipsis.arg[['m']]
if (is.null(m)){
ord<-factor(ordinal,ordered=TRUE)
lev<-levels(ord)
m<-length(lev)
}
F0<-Formula(ordinal~0|0|0)
#data<-as.data.frame(ordinal)
stimacub<-GEM(F0,family="cub",m=m,maxiter = 500, toler = 1e-06)
param<-stimacub$estimates; pai<-param[1];csi<-param[2];
valcsi<-1-csi; valpai<-1-pai;
if (csiplot==TRUE){
valcsi<-csi
ylab<-expression(xi)
}
if (paiplot==TRUE){
valpai<-pai
xlab<-expression(pi)
}
plot(valpai,valcsi,main=main,las=1,pch=pch,cex=cex,xlim=xlim,ylim=ylim,
col=col,xlab=xlab, ylab=ylab)
text(valpai,valcsi,labels="estim",font=font,pos=pos,offset=offset,cex=cex,col=col)
}
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