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Statistical inference of risk difference in K correlated 2×2 tables with structural zero
Author(s) -
Wang ShunFang,
Tang NianSheng,
Zhang Bo,
Wang XueRen
Publication year - 2009
Publication title -
pharmaceutical statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 38
eISSN - 1539-1612
pISSN - 1539-1604
DOI - 10.1002/pst.360
Subject(s) - statistics , mathematics , statistic , type i and type ii errors , wald test , confidence interval , likelihood ratio test , test statistic , statistical hypothesis testing , sample size determination , score test , ancillary statistic , nominal level , inference , statistical inference , computer science , artificial intelligence
Abstract K correlated 2×2 tables with structural zero are commonly encountered in infectious disease studies. A hypothesis test for risk difference is considered in K independent 2×2 tables with structural zero in this paper. Score statistic, likelihood ratio statistic and Wald‐type statistic are proposed to test the hypothesis on the basis of stratified data and pooled data. Sample size formulae are derived for controlling a pre‐specified power or a pre‐determined confidence interval width. Our empirical results show that score statistic and likelihood ratio statistic behave better than Wald‐type statistic in terms of type I error rate and coverage probability, sample sizes based on stratified test are smaller than those based on the pooled test in the same design. A real example is used to illustrate the proposed methodologies. Copyright © 2009 John Wiley & Sons, Ltd.