Exact methods for testing homogeneity of proportions for multiple groups of paired binary data

We consider four exact procedures to test the homogeneity of proportions for correlated multiple clustered data. Exact procedures are compared with the asymptotic approach based on the score statistic. We use a real example from a double-blind clinical trial studying the treatment of otitis media to illustrate the various test procedures and provide extensive numerical studies to compare procedures with regards to Type I error rates and powers under the unconditional framework. The exact unconditional procedure based on estimation followed by maximization is generally more powerful than other procedures.