# This function returns draws from a normal distribution with a lower censoring
# limit of lod (limit of detection):
r.left.censored.norm <- function(n,mean=0,sd=1,lod=0.5)
{
# erf <- function(x) 2 * pnorm(x * sqrt(2)) - 1
# lod.CDF <- 0.5*(1+erf((lod-mean)/(2*sd^2)^(1/2)))
censored <- runif(n,0,1) < ptnorm(lod,mean=mean,sd=sd,lower=0)
out <- rep(0,length=n)
out[censored] <- runif(sum(censored),0,lod)
out[!censored] <- rtnorm(sum(!censored),mean=mean,sd=sd,lower=lod)
return(out)
}
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