# MC- permutation on coefficients of QR-fits
#
#' Function computing coefficients of 9999 random permuted tau-quantile (f.e. 99%) fits
#' To make histogram of distribution of coefficients and eventuelly test the significance of a fit
#'
#' @export
MC_coefperm <- function(data=max2d,x, y, tau, N=9999,method="fn", plot=TRUE){
reps <- replicate(N, round(as.numeric(coef(rq(sample(y) ~ x, tau=tau,method=method))[2]),digits=7))
obs <- round(as.numeric(coef(rq(y ~ x, tau=tau,method=method))[2]),digits=7)
p <- (1+sum(obs > reps))/(N+1) #p <- mean(reps > obs)
mean <- mean(reps)
sd <- sd(reps)
area <- pnorm(max(reps), mean, sd) - pnorm(0, mean, sd)
tmp <- data.table(reps,obs,tau,p,area)
#return(list(obs=obs,reps=reps,p=p))
return(tmp)
}
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