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

Description Usage Arguments Details Value Author(s) References Examples

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

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

`x`	a numeric vector of data values.

`nrepl`	the number of replications in Monte Carlo simulation.
`m`	a parameter of the test (see below).

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.

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.

Maxim Melnik and Ruslan Pusev

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

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

Loading required package: orthopolynom
Loading required package: polynom

	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