Hybrid test for the hypothesis of symmetry

Reza Modarres and Joseph Gastwirth

Journal of Applied Statistics, 1998, vol. 25, issue 6, 777-783

Abstract: In recent years, McWilliams and Tajuddin have proposed new and more powerful non-parametric tests of symmetry for continuous distributions about a known center. In this paper, we propose a simple non-parametric two-stage procedure based on the sign test and a percentile-modified two-sample Wilcoxon test. The small-sample properties of this test, Tajuddin's test, McWilliams' test and a modified runs test of Modarres and Gastwirth are investigated in a Monte Carlo simulation study. The simulations indicate that, for a wide variety of asymmetric alternatives in the lambda family, the hybrid test is more powerful than are existing tests in the literature.

Date: 1998
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DOI: 10.1080/02664769822765

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