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A nonparametric test of symmetry based on the overlapping coefficient |
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| Authors: | Hani M Samawi Amal Helu Robert Vogel |
| Institution: | 1. Jiann-Ping Hsu College of Public Health , Georgia Southern University , PO Box 8015, Cone, Statesboro, GA, 30460, USA;2. Department of mathematics , University of Jordan , Amman, Jordan |
| Abstract: | In this paper, we introduce a new nonparametric test of symmetry based on the empirical overlap coefficient using kernel density estimation. Our investigation reveals that the new test is more powerful than the runs test of symmetry proposed by McWilliams 31]. Intensive simulation is conducted to examine the power of the proposed test. Data from a level I Trauma center are used to illustrate the procedures developed in this paper. |
| Keywords: | test of symmetry power of the test bootstrap method Matusita's measure Morisita's measure overlap coefficients Weitzman's measure kernel density estimation |