Journal
BIOMETRICAL JOURNAL
Volume 50, Issue 2, Pages 283-298Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/bimj.200710403
Keywords
asymptotic tests; conditional test; constrained maximum likelihood estimation; level of significance; mid-p; Monte Carlo simulation; power
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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.
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