# cMackSkil: Computes a critical value for the Mack-Skillings MS... In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

 cMackSkil R Documentation

## 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")

Grant Schneider

### 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)
``````

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