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An asymptotically distribution-free test of symmetry
Centre of Biostochastics, Swedish University of Agricultural Sciences, Umeå, Sweden.
2007 (English)In: Journal of Statistical Planning and Inference, ISSN 0378-3758, Vol. 137, no 3, 799-810 p.Article in journal (Refereed) Published
Abstract [en]

A procedure, based on sample spacings, is proposed for testing whether a univariate distribution is symmetric about some unknown value. The proposed test is a modification of a sign test suggested by Antille and Kersting [1977. Tests for symmetry. Z. Wahrscheinlichkeitstheorie verw. Gebiete 39, 235-255], but unlike Antille and Kersting's test, our modified test is asymptotically distribution-free and is usable in practice. A simulation study indicates that the proposed test maintains the nominal level of significance, alpha fairly accurately even for samples of size as small as 20, and a comparison with the classical test based on sample coefficient of skewness, shows that our test has good power for detecting different asymmetric distributions.

Place, publisher, year, edition, pages
2007. Vol. 137, no 3, 799-810 p.
Keyword [en]
symmetric distributions, spacings, nonparametric, coefficient of skewness
National Category
Probability Theory and Statistics
Research subject
URN: urn:nbn:se:umu:diva-61858DOI: 10.1016/j.jspi.2006.06.009ISI: 000242706300012OAI: diva2:572381
Available from: 2012-11-27 Created: 2012-11-27 Last updated: 2013-10-07Bibliographically approved

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Ekström, Magnus
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