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Testing the Ratio of Two Poisson Rates

2008; Wiley; Volume: 50; Issue: 2 Linguagem: Inglês

10.1002/bimj.200710403

1521-4036

Kangxia Gu, Hon Keung Tony Ng, Man‐Lai Tang, William R. Schucany,

Statistical Methods and Bayesian Inference

Abstract In this paper we compare the properties of four different general approaches for testing the ratio of two Poisson rates. Asymptotically normal tests, tests based on approximate p ‐values, exact conditional tests, and a likelihood ratio test are considered. The properties and power performance of these tests are studied by a Monte Carlo simulation experiment. Sample size calculation formulae are given for each of the test procedures and their validities are studied. Some recommendations favoring the likelihood ratio and certain asymptotic tests are based on these simulation results. Finally, all of the test procedures are illustrated with two real life medical examples. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)