# lepage.test: Lepage test In tpepler/nonpar: Collection of methods for non-parametric analysis

## Description

Performs the Lepage test for the two-sample location scale problem.

## Usage

 `1` ```lepage.test(x, y = NA, g = NA, method = NA, n.mc = 10000) ```

## Arguments

 `x ` Either a list or a vector containing either all or the first group of data. `y ` If x contains the first group of data, y contains the second group of data. Otherwise, not used. `g ` If x contains a vector of all of the data, g is a vector of 1's and 2's corresponding to group labels. Otherwise, not used. `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 data entry is intended to be flexible, so that the two groups of data can be entered in any of three ways. For data a=1,2 and b=3,4 all of the following are equivalent:

`lepage.test(x=c(1,2),y=c(3,4))` `lepage.test(x=list(c(1,2),c(3,4)))` `lepage.test(x=c(1,2,3,4),g=c(1,1,2,2))`

## Value

Returns a list containing the following components:

 `m ` Number of observations in the first data group (X). `n ` Number of observations in the second data group (Y). `obs.stat ` The observed C statistic. `p.value ` Upper tail P-value.

## Note

This function was adapted slightly from the `pLepage` function in the `NSM3` (version 1.1) package.

## Author(s)

Grant Schneider, Theo Pepler

## References

Lepage, Y. (1971). A combination of Wilcoxon's and Ansari-Bradley's statistics. Biometrika, 58(1): 213-217.

Hollander, M., Wolfe, D.A. and Chicken, E. (2014). Nonparametric Statistical Methods. Wiley.

## Examples

 ```1 2 3 4 5 6 7 8``` ```##Hollander-Wolfe-Chicken Example 5.3 Platelet Counts of Newborn Infants platelet.counts<-list(x = c(120000, 124000, 215000, 90000, 67000, 95000, 190000, 180000, 135000, 399000), y = c(12000, 20000, 112000, 32000, 60000, 40000)) lepage.test(platelet.counts) ##or equivalently, lepage.test(platelet.counts\$x,platelet.counts\$y) ```

tpepler/nonpar documentation built on May 31, 2019, 6:48 p.m.