Two sample comparison for large groups of correlated binary responses

Although there is much literature on testing the treatment effect in experiments with correlated binary outcomes, the existing methodologies only work well when the cluster size is small. In this paper, I propose a simple method to test the treatment effect in experiments with large groups of correlated binary outcomes. I use the weighted estimating equations approach to estimate the treatment effect. The proposal is appropriate under any correlation structure. Power comparisons show the advantage of the new procedure.