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Statistical inference of risk difference in K correlated 2 x 2 tables with structural zero

Authors :
Bo Zhang
Xueren Wang
Nian-Sheng Tang
Shunfang Wang
Source :
Pharmaceutical statistics. 8(4)
Publication Year :
2009

Abstract

K correlated 2 x 2 tables with structural zero are commonly encountered in infectious disease studies. A hypothesis test for risk difference is considered in K independent 2 x 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.

Details

ISSN :
15391612
Volume :
8
Issue :
4
Database :
OpenAIRE
Journal :
Pharmaceutical statistics
Accession number :
edsair.doi.dedup.....f125fbd8677a79ac7ec811898b56a2a2