hegazy.unif.test: Hegazy-Green test for uniformity
Description
Performs Hegazy-Green test for the hypothesis of uniformity.
Usage
hegazy.unif.test(x, nrepl=2000, p=1)
Arguments
x
a numeric vector of data values.
p
a parameter of the test (see below).
nrepl
the number of replications in Monte Carlo simulation.
Value
A list with class "htest" containing the following components:
statisticthe value of the Hegazy-Green statistic.
p.valuethe p-value for the test.
methodthe character string "Hegazy-Green test for uniformity".
data.namea character string giving the name(s) of the data.
Details
The Hegazy-Green test for uniformity is based on the following statistic:
$$T_p = \frac{1}{n}\sum_{i=1}^{n}{\left|X_{(i)}-\frac{i}{n+1}\right|^p}.$$
The p-value is computed by Monte Carlo simulation.
References
Hegazy, Y. A. S. and Green, J. R. (1975): Some new goodness-of-fit tests using order statistics. --- Journal of the Royal Statistical Society. Series C (Applied Statistics), vol. 24, pp. 299--308.