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

 cNDWol R Documentation

## Function to compute a critical value for the Nemenyi, Damico-Wolfe Y distribution.

### Description

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

### Usage

``````cNDWol(alpha,n, method=NA, n.mc=10000)
``````

### Arguments

 `alpha` A numeric value between 0 and 1. `n` A vector of numeric values indicating the size of each of the k data groups, with the first element indicating the treatment group size. `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 "NSM3Ch6MCc" class containing the following components:

 `n` number of observations in the k data groups `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 6.8 Motivational Effect of Knowledge of Performance
cNDWol(.0554, c(6, 6, 6),"Monte Carlo")
cNDWol(.0554, c(6, 6, 6),"Monte Carlo",n.mc=25000)
cNDWol(.0371, c(6, 6, 6),"Monte Carlo")
``````

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