Nothing
# Functions to test properties of random proportions
# ************************** Utilities *******************************
# Composition operator
# Converts vector v to proportions
local(envir=.PBSmodEnv,expr={
locale = sys.frame(sys.nframe() - 1) # local environment
comp <- function(v) {
v <- v[v>0 & !is.na(v)]
y <- abs(v)/sum(abs(v)); y; };
panel.hist <- function(x, ...) {
usr <- par("usr"); on.exit(par(usr))
h <- hist(x, breaks="Sturges", plot=FALSE)
breaks <- h$breaks; nB <- length(breaks)
y <- h$counts; y <- y/sum(y)
par(usr = c(usr[1:2], 0, max(y)*1.5) )
rect(breaks[-nB], 0, breaks[-1], y, col=switch(getWinVal()$MDL,"lightblue1","mistyrose","darkseagreen1"))
box() }
# ************************** Multinomial *****************************
# Multinomial random sample
# Input: ns = number of sample
# N = sample size
# pvec = probability vector (sums to 1)
# prop = report format:
# counts (prop=F) or proportions (prop=T)
# Output: matrix (ns x length(pvec))
# each row is a multinomial sample that sums to N
rmul <- function(ns,N,pvec,prop=T) {
pvec <- abs(pvec)/sum(abs(pvec)); # forces sum to 1
np <- length(pvec);
ymat <- rmultinom(ns,N,pvec);
yout <- t(ymat);
if(prop) yout <- sweep( yout, 1, N, "/");
yout; };
# ***** Test of rmul *****
testrmul <- function(prop=T,ndec=4) {
getWinVal(scope="L");
pvec <- comp(pvec); np <- length(pvec);
y <- rmul(ns,N,pvec,prop);
dimnames(y)[[2]] <- paste("p",1:np,sep="");
ym <- apply(y,2,mean);
yv <- apply(y,2,var);
yvv <- pvec*(1-pvec)/N;
ys <- apply(y,2,sd);
PVEC <- show0(round(c(pvec,rep(0,6-np)),ndec),ndec);
YM <- show0(round(c(ym,rep(0,6-np)),ndec),ndec);
YS <- show0(round(c(ys,rep(0,6-np)),ndec),ndec);
setWinVal(list(pvec=PVEC,ym=YM,ys=YS));
pairs(y,pch=16,cex=0.5,col="blue",gap=0,diag.panel=panel.hist);
writeList(list(ns=ns,N=N,pvec=pvec,y=y),fnam="RpData.txt",format="P");
invisible(y); };
# ************************** Dirichlet *******************************
# Dirichlet random sample
# Input: ns = number of samples
# N = effective sample size
# pvec = probability vector (sums to 1)
# Output: matrix (ns x length(pvec))
# each row is a Dirichlet sample that sums to 1
rdir <- function(ns,N,pvec) {
pvec <- comp(pvec); # forces sum to 1
np <- length(pvec);
yvec <- rgamma(ns*np,shape=N*pvec,scale=N);
y1 <- matrix(yvec,nrow=ns,ncol=np,byrow=T);
ys <- apply(y1,1,"sum");
y2 <- sweep(y1,1,ys,"/");
y2; };
# ***** Test of rdir *****
testrdir <- function(ndec=4) {
getWinVal(scope="L");
pvec <- comp(pvec); np <- length(pvec);
y <- rdir(ns,N,pvec);
dimnames(y)[[2]] <- paste("p",1:np,sep="");
ym <- apply(y,2,mean);
yv <- apply(y,2,var);
yvv <- pvec*(1-pvec)/(N+1);
ys <- apply(y,2,sd);
PVEC <- show0(round(c(pvec,rep(0,6-np)),ndec),ndec);
YM <- show0(round(c(ym,rep(0,6-np)),ndec),ndec);
YS <- show0(round(c(ys,rep(0,6-np)),ndec),ndec);
setWinVal(list(pvec=PVEC,ym=YM,ys=YS));
pairs(y,pch=16,cex=0.5,col="red",gap=0,diag.panel=panel.hist);
writeList(list(ns=ns,N=N,pvec=pvec,y=y),fnam="RpData.txt",format="P");
invisible(y); };
# ************************ Logit-normal ******************************
# Logit-normal random sample
# Input: ns = number of samples
# sig = standard error
# pvec = probability vector (sums to 1)
# Output: matrix (ns x length(pvec))
# each row is a logit-normal sample that sums to 1
rlgtnorm <- function(ns,sig,pvec) {
pvec <- comp(pvec); # forces sum to 1
#pvec <- pvec[pvec>0]; # omits zero elements
np <- length(pvec);
mvec <- log(pvec);
vvec <- rnorm(ns*np,mean=mvec,sd=sig);
y1 <- matrix(exp(vvec),nrow=ns,ncol=np,byrow=T);
ys <- apply(y1,1,"sum");
y2 <- sweep(y1,1,ys,"/");
y2; };
# Test of rlgtnorm
testrln <- function(ndec=4) {
getWinVal(scope="L");
pvec <- comp(pvec); np <- length(pvec);
y <- rlgtnorm(ns,sig,pvec);
dimnames(y)[[2]] <- paste("p",1:np,sep="");
ym <- apply(y,2,mean);
yv <- apply(y,2,var);
yvv <- sig^2*pvec^2*(1 - 2*pvec + sum(pvec^2));
ys <- apply(y,2,sd);
iy <- sort( sample(1:np, 2, replace=F) );
i1 <- iy[1]; i2 <- iy[2];
y1 <- y[,i1]; y2 <- y[,i2];
y12m <- mean(log(y1/y2)); y12 <- log(pvec[i1]/pvec[i2]);
v12m <- var(log(y1/y2)); v12 <- 2*sig^2;
PVEC <- show0(round(c(pvec,rep(0,6-np)),ndec),ndec);
YM <- show0(round(c(ym,rep(0,6-np)),ndec),ndec);
YS <- show0(round(c(ys,rep(0,6-np)),ndec),ndec);
setWinVal(list(pvec=PVEC,ym=YM,ys=YS));
pairs(y,pch=16,cex=0.5,col="forestgreen",gap=0,diag.panel=panel.hist);
writeList(list(ns=ns,sig=sig,pvec=pvec,y=y),fnam="RpData.txt",format="P");
invisible(y); };
getMod <- function(){
getWinVal(scope="L");
rmod <- switch(MDL,"testrmul","testrdir","testrln")
get(rmod)()
}
if (!require(PBSmodelling, quietly=TRUE)) stop("The PBSmodelling package is required for this example")
createWin("RanPropWin.txt")
}) # end local scope
Any scripts or data that you put into this service are public.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.