A new and improved confidence interval for the Mantel-Haenszel risk difference.
Writing the variance of the Mantel-Haenszel estimator under the null of homogeneity and inverting the corresponding test, we arrive at an improved confidence interval for the common risk difference in stratified 2 × 2 tables. This interval outperforms a variety of other intervals currently recommended in the literature and implemented in software. We also discuss a score-type confidence interval that allows to incorporate strata/study weights. Both of these intervals work very well under many scenarios common in stratified trials or in a meta-analysis, including situations with a mixture of both small and large strata sample sizes, unbalanced treatment allocation, or rare events. The new interval has the advantage that it is available in closed form with a simple formula. In addition, it applies to matched pairs data. We illustrate the methodology with various stratified clinical trials and a meta-analysis. R code to reproduce all analysis is provided in the Appendix.
['Klingenberg|Bernhard|B|']
D000970:Antineoplastic Agents D002986:Clinical Trials as Topic D016001:Confidence Intervals D003627:Data Interpretation, Statistical D006801:Humans D007252:Influenza Vaccines D007251:Influenza, Human D015201:Meta-Analysis as Topic D009101:Multiple Myeloma D012306:Risk D018401:Sample Size
stratified 2 × 2 tables meta-analysis matched pairs difference of proportion score interval