uniftest (version 1.1)

kuiper.unif.test: Kuiper test for uniformity

Description

Performs Kuiper test for the hypothesis of uniformity, see Kuiper (1960).

Usage

kuiper.unif.test(x, nrepl=2000)

Arguments

x

a numeric vector of data values.

nrepl

the number of replications in Monte Carlo simulation.

Value

• A list with class "htest" containing the following components:
• statistic
  the value of the Kuiper statistic.
• p.value
  the p-value for the test.
• method
  the character string "Kuiper test for uniformity".
• data.name
  a character string giving the name(s) of the data.

Details

The Kuiper test for uniformity is based on the following statistic: $$V = \max_i\left(\frac{i}{n}-X_{(i)}\right) + \max_i\left(X_{(i)}-\frac{i-1}{n}\right)$$ The p-value is computed by Monte Carlo simulation.

References

Kuiper, N.H. (1960): Tests concerning random points on a circle. --- Proc. Kon. Ned. Akad. Wetensch., Ser. A, vol. 63, pp. 38--47.

Examples

kuiper.unif.test(runif(100,0,1))
kuiper.unif.test(rbeta(100,0.5,0.5))