# cWNMT: Computes a critical value for the Wilcoxon, Nemenyi,... In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

 cWNMT R Documentation

## Computes a critical value for the Wilcoxon, Nemenyi, McDonald-Thompson R distribution.

### Description

This function computes the critical value for the Wilcoxon, Nemenyi, McDonald-Thompson R distribution at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

### Usage

``````cWNMT(alpha, k, n, 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. `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 `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")

Grant Schneider

### Examples

``````##Hollander-Wolfe-Chicken Example 7.3 Rounding First Base
#cWNMT(.047, 3, 15)
cWNMT(.047, 3, 15,n.mc=5000)

##Chapter 7 Comment 26
#cWNMT(.083, 4, 2)
cWNMT(.083, 4, 2,n.mc=5000)
``````

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