cLepage: Computes a critical value for the Lepage D distribution.

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

Computes a critical value for the Lepage D distribution.

Description

This function computes the critical value for the Lepage D distriburion at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

Usage

cLepage(alpha, m, n, method=NA, n.mc=10000)

Arguments

alpha	A numeric value between 0 and 1.
m	A numeric value indicating the size of the first data group (X).
n	A numeric value indicating the size of the second data group (Y).
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.

Value

Returns a list with "NSM3Ch5c" class containing the following components:

m	number of observations in the first data group (X)
n	number of observations in the second data group (Y)
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 5.3 Platelet Counts of Newborn Infants
cLepage(0.02,10,6,"Exact")
cLepage(0.02,10,6,"Monte Carlo")
cLepage(0.02,10,6,"Asymptotic")

NSM3 documentation built on Nov. 4, 2024, 5:08 p.m.