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

 cucconi.test R Documentation

## Cucconi test

### Description

Performs the Cucconi test for the two-sample location-scale problem, to determine whether the location and or scale of two univariate population distributions differ.

### Usage

``````cucconi.test(x, y, method = c("permutation", "bootstrap"))
``````

### Arguments

 `x ` Vector of values from the first group. `y ` Vector of values from the second group. `method ` Method used to estimate the distribution of the test statistic under the null hypothesis (default = "permutation").

### Value

Returns a list containing the following components:

 `C ` The test statistic. `method ` Method to determine the distribution of the test statistic under the null hypothesis. `p.value ` The p-value for the test.

Theo Pepler

### References

Cucconi, O. (1968). Un nuovo test non parametrico per il confronto tra due gruppi campionari. Giornale degli Economisti e Annali di Economia, XXVII: 225-248.

Marozzi, M. (2013). Nonparametric simultaneous tests for location and scale testing: A comparison of several methods. Communications in Statistics - Simulation and Computation, 42(6): 1298-1317.

Marozzi, M. (2009). Some notes on the location-scale Cucconi test. Journal of Nonparametric Statistics, 21(5): 629-647.

`cucconi.teststat`, `cucconi.dist.perm`, `cucconi.dist.boot`

### Examples

``````xvec <- rnorm(30)
yvec <- rnorm(30) * 1.3 + 0.5
cucconi.test(x = xvec, y = yvec)
cucconi.test(x = xvec, y = yvec, method = "bootstrap")
``````

tpepler/nonpar documentation built on May 13, 2023, 11:23 a.m.