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A Distribution-Free Test for Symmetry Based on a Runs Statistic
Thomas P. McWilliams
Journal of the American Statistical Association
Vol. 85, No. 412 (Dec., 1990), pp. 1130-1133
Stable URL: http://www.jstor.org/stable/2289611
Page Count: 4
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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).
Journal of the American Statistical Association © 1990 American Statistical Association