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A conditional distribution free runs test for symmetry 

Author: Ayman Baklizi a
Affiliation:   a Department of Statistics, Yarmouk University, Irbid, Jordan
DOI: 10.1080/10485250310001634737
Publication Frequency: 8 issues per year
Published in: journal Journal of Nonparametric Statistics, Volume 15, Issue 6 December 2003 , pages 713 - 718
Number of References: 7
Formats available: PDF (English)
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Abstract

The problem of testing for symmetry of a continuous distribution about a specified median is considered. The runs test proposed by McWilliams (McWilliams, T. P. (1990). A distribution-free test for symmetry based on a runs statistic. Journal of the American Statistical Association, 85(412), 1130-1133) is modified by conditioning on the number of observations greater than the specified median. Simulations show that the modified test slightly outperforms the unconditional one in terms of power and is quite robust for possible misspecification of the median.
Keywords: Conditional inference; Distribution free; Robust tests; Runs test; Symmetry
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