# cHaySton: Computes a critical value for the Hayter-Stone W*... In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

 cHaySton R Documentation

## Computes a critical value for the Hayter-Stone W* distribution.

### Description

This function computes the critical value for the Hayter-Stone W* distriburion at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.

### Usage

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

### Arguments

 `alpha` A numeric value between 0 and 1. `n` A vector (of length 2 or greater) indicating the sizes of the data groups. `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.

### Details

The Asymptotic distribution requires that all group sizes are equal. If method="Asymptotic" and there are different group sizes in n, method="Monte Carlo" will be used.

### Value

Returns a list with "NSM3Ch6MCc" class containing the following components:

 `n` data group sizes `num.comp` number of multiple comparisons to be made (based on the length of n) `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 6.7 Motivational Effect of Knowledge of Performance:
#cHaySton(.0553,rep(6,3),"Monte Carlo")
cHaySton(.05,c(6,6,6),"Asymptotic")
```

NSM3 documentation built on Aug. 17, 2022, 1:13 a.m.