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http://dx.doi.org/10.5351/KJAS.2005.18.1.099

A Test for Spherical Symmetry  

Park Cheolyong (Department of Statistics, Keimyung University)
Publication Information
The Korean Journal of Applied Statistics / v.18, no.1, 2005 , pp. 99-113 More about this Journal
Abstract
In this article, we propose a chi-squared test of spherical symmetry. The advantage of this test is that the test statistic and its asymptotic p-value are easy to compute. The limiting distribution of the test statistic is derived under spherical symmetry and its accuracy, in finite samples, is studied via simulation. Also, a simulation study is conducted in which the power of our test is compared with those of other tests for spherical symmetry in various alternative distributions. Finally, an illustrative example of application to a real data is provided.
Keywords
Chi-squared test; Multivariate symmetry; Polar coordinates;
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