# cKolSmirn: Computes a critical value for the Kolmogorov-Smirnov J... In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

 cKolSmirn R Documentation

## Computes a critical value for the Kolmogorov-Smirnov J distribution.

### Description

This function uses pSmirnov2x from the base stats package to compute the critical value for the Kolmogorov-Smirnov J distribution at (or typically in the "Exact" case, close to) the given alpha level. The program is reasonably quick for large data, well after the asymptotic approximation suffices, so Monte Carlo methods are not included.

### Usage

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

### Arguments

 `alpha` A numeric value between 0 and 1. `m` A numeric value indicating the size of the first data group (X). `n` A numeric value indicating the size of the second data group (Y). `method` Either "Exact" or "Asymptotic", indicating the desired distribution. When method=NA, if m+n<=200, the "Exact" method will be used to compute the J distribution. Otherwise, the "Asymptotic" method will be used. `n.mc` Not used. Only included for standardization with other critical value procedures in the NSM3 package.

### Value

Returns a list with "NSM3Ch5c" class containing the following components:

 `m` number of observations in the first data group (X) `n` number of observations in the second data group (Y) `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

### References

This function uses the source code ks.c from the stats package by: R Core Team (2013). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org/.

Also see `ks.test()`.

### Examples

```##Hollander-Wolfe-Chicken Example 5.4 Effect of Feedback on Salivation Rate:
cKolSmirn(0.0524,10,10,"Exact")

##or
cKolSmirn(0.06,10,10,"Exact")

##LSA
cKolSmirn(0.0551,10,10,"Asymptotic")
```

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