A new means of estimating the correlation coefficient for cluster binary data in the regression settings is introduced. The creation of this method is founded upon the violation of Bartlett’s second identity when adopting the binomial distributions to model binary data that are correlated. The...

We consider exact unconditional procedures for testing independence of exchangeable binary data with equal-sized clusters. The approximate unconditional approach is recommended as a basic procedure. The exact unconditional procedure based on estimation followed by maximization is recommended for...