# R/jonckheere.R In kloke/npsm: Package for Nonparametric Statistical Methods using R

#### Documented in jonckheere

```jonckheere <-
function(y, groups)
{
groups <- as.factor(groups)
lev <- levels(groups)
nlev <- length(lev)

jonck <- 0
ties.p <- F
for(i in 1:(nlev - 1))
for(j in (i + 1):nlev) {
xx <- y[groups == lev[i]]
yy <- y[groups == lev[j]]
xy <- c(xx, yy)
ties.p <- ties.p | (length(xy) !=length(unique(xy)))
sss <- length(xx) * length(yy) + (length(xx) *
(length(xx) + 1))/2 -
sum(rank(xy)[1:length(xx)])
jonck <- jonck + sss
}
#for ties see Lehmann p.235ff
names(jonck) <- NULL
ns <- tabulate(as.numeric(groups))
nn <- length(y)
expj <- (nn * nn - sum(ns * ns))/4
if(!ties.p) {
varj <- (nn * nn * (2 * nn + 3) - sum(ns * ns * (2 * ns +
3)))/72
}
else {
nun <- as.vector(table(y))
varj <- (nn * (nn - 1) * (2 * nn + 5) -
sum(ns * (ns - 1) * (2 * ns + 5)) -
sum(nun * (nun - 1) * (2 * nun + 5)))/72 +
(sum(ns * (ns - 1) * (ns -      2)) * sum(nun *
(nun - 1) *
(nun - 2)))/(36 * nn * (nn - 1) * (nn - 2)) +
(sum(ns * (ns - 1)) * sum(nun * (nun - 1)))/(8
* nn * (nn - 1))
}
c(Jonckheere = jonck, ExpJ = expj, VarJ = varj,
P = 1 - pnorm((jonck- expj)/sqrt(varj)))
}
```
kloke/npsm documentation built on May 18, 2017, 9:42 p.m.