# dudewicz.unif.test: Dudewicz-van der Meulen test for uniformity In uniftest: Tests for Uniformity

## Description

Performs Dudewicz-van der Meulen test for the hypothesis of uniformity.

## Usage

 1 dudewicz.unif.test(x, nrepl=2000,m=length(x)/2) 

## Arguments

 x a numeric vector of data values.
 nrepl the number of replications in Monte Carlo simulation. m a parameter of the test (see below).

## Details

The Dudewicz-van der Meulen test for uniformity is based on the following statistic:

H(m, n) = -\frac{1}{n}∑_{i=1}^{n}{\log_2{\frac{n}{2m}(x_{(i+m)}-x_{(i-m)})}}

The p-value is computed by Monte Carlo simulation.

## Value

A list with class "htest" containing the following components:

 statistic the value of the Dudewicz-van der Meulen statistic. p.value  the p-value for the test. method the character string "Dudewicz-van der Meulen test for uniformity". data.name a character string giving the name(s) of the data.

## Author(s)

Maxim Melnik and Ruslan Pusev

## References

Dudewicz E. J., van der Meulen E. C. (1981): Entropy-based tests of uniformity. — JASA, vol. 76, pp. 967–974.

## Examples

 1 2 dudewicz.unif.test(runif(100,0,1)) dudewicz.unif.test(runif(100,0.1,0.9)) 

### Example output

Loading required package: orthopolynom

Dudewicz-van der Meulen test for uniformity

data:  runif(100, 0, 1)
H = 0.47601, p-value = 0.408

Dudewicz-van der Meulen test for uniformity

data:  runif(100, 0.1, 0.9)
H = 0.75076, p-value < 2.2e-16


uniftest documentation built on May 1, 2019, 7:33 p.m.