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

In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

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)

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.

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.

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")

Author(s)

Grant Schneider

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")

NSM3 documentation built on Sept. 8, 2023, 5:52 p.m.