Pairwise comparisons of matched proportions

Consider the problem of comparing the success rates of c treatments, each of which induce a Bernoulli response. The comparison is to be made on the basis of n matched samples. We present a method for deriving confidence intervals for the pair-wise difference in success rates which has the desirable quality of providing uniformly shorter intervals than the procedure recently proposed by Bhapkar and Somes (1976). Comparisons of the lengths of the respective intervals are provided. Some observations regarding the assumptions required for the use of Cochran’s Q-test (1950) are also made.