The relationship between marginal (population-averaged) models for cluster-correlated binary data, and a class of cluster-specific, logistic-normal random effects models is discussed. We show that random effects models can accomplish the same end as a more direct modelling of intra-cluster correlation, as in GEE. © 2001 Elsevier Science B.V.
Sashegyi, A. I., Brown, K. S., & Farrell, P. J. (2001). On the correspondence between population-averaged models and a class of cluster-specific models for correlated binary data. Statistics and Probability Letters, 52(2), 135–144. https://doi.org/10.1016/S0167-7152(00)00183-8