In many applications two groups are compared simultaneously on several correlated binary variables for a more comprehensive assessment of group differences. Although the response is multivariate, the main interest is in comparing the marginal probabilities between the groups. Estimating the size...

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...