# NOT RUN {
#generate the data.
#variable x has 5 different status with probability of
#beeing in status i is given by:0.1,0.2,0.3,0.3,0.1. #The reference variable
#is chosen from a bernoulli distribution with success #rate 0.8.
ref<-sample(0:1,1000,replace=TRUE,prob=c(0.2,0.8))
erg<-unlist(lapply(1:1000,function(z){
w<-runif(1000)
x<-rnorm(1000,25)
zdifference_coefvar(x,ref)
}))
hist(erg,breaks=50,main="z-difference for continuous data")
plot(seq(0.005,0.97,0.01),quantile(erg,seq(0.005,0.97,0.01)),
type="l",lwd=3,xlab=c("quantile"),ylab=c("x-value"))
points(seq(0.005,0.97,0.01),qnorm(seq(0.005,0.97,0.01)),col="red",type="l",lwd=3,lty=2)
legend("topleft",legend=c("N(0,1) distribution","sample distribution"),lty=c(2,1),
lwd=c(3,3),col=c("red","black"),cex=1.3)
# }
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