Power studies of some tests for uniformity

1 January 1977

journal article
research article
Published by Taylor & Francis in Journal of Statistical Computation and Simulation

Vol. 5 (3) , 169-191
https://doi.org/10.1080/00949657708810150

Abstract

Results from a simulation study of the power of eight statistics for testing that a sample is form a uniform distribution on the unit interval are reported. Power is given for each statistic against four classes if alternatives. The statistics studied include the discrete Pearson chi-square with ten and twenty cells, X² ₁₀ and X² ₂₀; Kolmogorov-smirov, D; Cramer-Von Mises, W²; Watson, U²; Anderson-Darling, A; Greenwood. G;and a new statistic called O A modified form of each of these statistic is also studied by first transforming the sample using a transformation given by Durbin. On the basis of the results observed in this study, the Watson U² statistic is recommended as a general test for uniformity.

Keywords

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