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Sample size determination for testing nonzero difference of two proportions in matched-pair design. (English) Zbl 1065.62190

Summary: Two approximate sample size formulae are proposed for testing the null hypothesis of nonzero rate difference of two proportions in matched-pair designs based on T. Tango’s score test statistic [Stat. Medicine 17, 891–908 (1998)]. The formulae can be used to produce sample size estimates that guarantee a prespecific power of a hypothesis test at a certain significance level and controls the width of a confidence interval with a certain confidence level. Our empirical studies confirm that the proposed sample size formulae perform satisfactorily. A real example is used to illustrate our methods.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62G10 Nonparametric hypothesis testing
62F03 Parametric hypothesis testing
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