Cochran-Mantel-Haenszel Weighted Miettinen & Nurminen Method for Confidence Intervals of the Difference in Binomial Proportions from Stratified 2x2 Samples

The Miettinen & Nurminen (1985) method is often used for constructing confidence intervals of the difference in binomial proportions from stratified 2x2 samples. However, the weighting strategy proposed in their paper requires an iterative procedure to implement, which is nested within another iterative procedure for finding the confidence limits. This paper examines the Cochran-Mantel-Haenszel (CMH) weighting strategy that does not require an iterative procedure to implement. Compared to the weighting strategy proposed in their original paper, the new weighting strategy does not affect the performance of the resulting confidence intervals while significantly reducing the computational time.