NSM3 (version 1.18)

cHaySton: Computes a critical value for the Hayter-Stone W* distribution.

Description

This function computes the critical value for the Hayter-Stone W* distriburion at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

Usage

cHaySton(alpha,n, method=NA, n.mc=10000)

Value

Returns a list with "NSM3Ch6MCc" class containing the following components:

n

data group sizes

num.comp

number of multiple comparisons to be made (based on the length of n)

cutoff.U

upper tail cutoff at or below user-specified alpha

true.alpha.U

true alpha level corresponding to cutoff.U (if method="Exact" or "Monte Carlo")

Arguments

alpha

A numeric value between 0 and 1.

n

A vector (of length 2 or greater) indicating the sizes of the data groups.

method

Either "Exact", "Monte Carlo" or "Asymptotic", indicating the desired distribution. When method=NA, "Exact" will be used if the number of permutations is 10,000 or less. Otherwise, "Monte Carlo" will be used.

n.mc

If method="Monte Carlo", the number of Monte Carlo samples used to estimate the distribution. Otherwise, not used.

Author

Grant Schneider

Details

The Asymptotic distribution requires that all group sizes are equal. If method="Asymptotic" and there are different group sizes in n, method="Monte Carlo" will be used.

Examples

##Hollander-Wolfe-Chicken Example 6.7 Motivational Effect of Knowledge of Performance:
#cHaySton(.0553,rep(6,3),"Monte Carlo")
cHaySton(.05,c(6,6,6),"Asymptotic")