Testing the ratio of two Poisson rates
Testing the ratio of two Poisson rates
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DOI：
10.1002/bimj.200710403
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发表时间：
2008-04-01
影响因子：
1.7
通讯作者：
Schucany, William R.
中科院分区：
文献类型：
--
作者：
Gu, Kangxia;Ng, Hon Keung Tony;Schucany, William R.
在本文中，我们比较了用于测试两个泊松率之比的四种不同通用方法的特性。考虑渐近正态检验、基于近似 p 值的检验、精确条件检验和似然比检验。通过蒙特卡罗模拟实验研究了这些测试的特性和功率性能。给出了每个测试程序的样本量计算公式，并研究了它们的有效性。一些有利于似然比的建议和某些渐近检验是基于这些模拟结果。最后，所有的测试程序都用两个现实生活中的医学例子来说明。
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.