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Hypothesis Testing Procedures for a Series of Independent Fourfold Tables under Inverse Sampling
Authors:Kung-Jong Lui
Abstract:This paper considers four summary test statistics, including the one recently proposed by Bennett (1986, Biometrical Journal 28, 859–862), for hypothesis testing of association in a series of independent fourfold tables under inverse sampling. This paper provides a systematic and quantitative evaluation of the small-sample performance for these summary test statistics on the basis of a Monte Carlo simulation. This paper notes that the test statistic developed by Bennett (1986) can be conservative and thereby possibly lose the power when the underlying disease is not rare. This paper also finds that for given a fixed total number of cases in each table, the conditional test statistic is the best in controlling type I error among all test statistics considered here.
Keywords:Type I error  Monte Carlo simulation  Inverse sampling  Negative binomial
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