On the application of extended quasi- likelihood to the clustered data case

The author describes the relationship between the extended generalized estimating equations (EGEEs) of Hall & Severini (1998) and various similar methods. He proposes a true extended quasi-likelihood approach for the clustered data case and explores restricted maximum likelihood-like versions of the EGEE and extended quasi-likelihood estimating equations. He also presents simulation results comparing the various estimators in terms of mean squared error of estimation based on three moderate sample size, discrete data situations.