A Distribution-Free Test for Symmetry Based on a Runs Statistic
- 1 December 1990
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 85 (412) , 1130
- https://doi.org/10.2307/2289611
Abstract
I present a simple test, based on a runs statistic, for symmetry of a continuous distribution about a known median. The statistic has a binomial sampling distribution and desirable invariance properties. Monte Carlo studies demonstrate that, for a wide variety of alternative asymmetric distributions, the test is more powerful than tests proposed by Butler (1969), Rothman and Woodroofe (1972), or Hill and Rao (1977).Keywords
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