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A Comparison of Two Test Statistics for Poisson Overdispersion/Underdispersion
Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
Department of Biostatistics & Bioinformatics, Rollins School of Public Health Winship Cancer Institute, Emory University 1365-B Clifton Rd. NE, Suite 4100, Room B4109, Atlanta, GA 30322
- 1 Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
- 2 Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
- 3 Department of Biostatistics and Computational Biology, University of Rochester, 601 Elmwood Ave., Box 630, Rochester, NY 14642
- 4 Department of Biostatistics & Bioinformatics, Rollins School of Public Health Winship Cancer Institute, Emory University 1365-B Clifton Rd. NE, Suite 4100, Room B4109, Atlanta, GA 30322
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Abstract
Within the family of zero-inflated Poisson distributions, the data has Poisson distribution if any only if the mean equals the variance. In this paper we compare two closely related test statistics constructed based on this idea. Our results show that although these two tests are asymptotically equivalent under the null hypothesis and are equally efficient, one test is always more efficient than the other one for small and medium sample sizes.
KeywordsPoisson DistributionOver-DispersionAsymptotic Relative Efficiency
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