A bootstrap test for symmetry based on quantiles

Year 2018, Volume: 47 Issue: 4, 1061 - 1069, 01.08.2018

Vali Zardasht

Abstract

In this paper, we construct a nonparametric test for the symmetry assumption of an underling distribution based on the sample quantiles. Bootstrap re-sampling from a symmetric empirical distribution function is used to obtain the p-value of the test. The power of the new test statistic is compared with some well-known symmetry tests using a simulation study. The results show that the proposed test preserves its level and it has reasonable power properties on the family of distribution evaluated.

Keywords

Symmetry, Quantile, Test Power, Bootstrap, Simulation

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