cJCK:
Computes a critical value for the Jonckheere-Terpstra J distribution.
Description
This function computes the critical value for the Jonckheere-Terpstra J distribution at (or typically in the "Exact" case, close to) the given alpha level. The function takes advantage of Harding's (1984) algorithm to quickly generate the distribution.
Usage
cJCK(alpha, n, method=NA, n.mc=10000)
Arguments
alpha
A numeric value between 0 and 1.
n
A vector of numeric values indicating the size of each of the k data groups.
method
Either "Exact" or "Asymptotic", indicating the desired distribution. When method=NA, if sum(n)
n.mc
Not used. Only included for standardization with other critical value procedures in the NSM3 package.
Value
Returns a list with "NSM3Ch6c" class containing the following components:
n
number of observations in the k data groups
cutoff.U
upper tail cutoff at or below user-specified alpha
true.alpha.U
true alpha level corresponding to cutoff.U (if method="Exact")
References
Harding, E. F. "An efficient, minimal-storage procedure for calculating the Mann-Whitney U, generalized U and similar distributions." Applied statistics (1984): 1-6.
##Hollander-Wolfe-Chicken Example 6.2 Motivational Effect of Knowledge of PerformancecJCK(.0490, c(6,6,6),"Exact")
cJCK(.0490, c(6,6,6),"Monte Carlo")
cJCK(.0231, c(6,6,6),"Exact")