NSM3 (version 1.5)

cMackSkil: Computes a critical value for the Mack-Skillings MS distribution.

Description

This function computes the critical value for the Mack-Skillings MS distribution at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

Usage

cMackSkil(alpha,k,n,c, method=NA, n.mc=10000)

Arguments

alpha

A numeric value between 0 and 1.

k

A numeric value indicating the number of treatments.

n

A numeric value indicating the number of blocks.

c

A numeric value indicating the number of replications for each treatment-block combination.

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 "NSM3Ch7c" class containing the following components:

k

number of treatments

n

number of blocks

c

number of replications

cutoff.U

upper tail cutoff at or below user-specified alpha

true.alpha.U

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

Examples

##Hollander-Wolfe-Chicken Example 7.9 Determination of Niacin in Bran Flakes
cMackSkil(.0501,4,3,3)
##Hollander-Wolfe-Chicken Chapter 7 Comment 72
cMackSkil(.0502,4,4,3)