Statistical approaches to overdispersion, correlated errors, shrinkage estimation, and smoothing of regression relationships may be encompassed within the framework of the generalized linear mixed ...

Wedderburn (1974) proposed a linear predictor and a link function to handle discrete traits. The linear predictor is simply a linear model combining information from the independent variables.

Recently, Wang and Louis [Biometrika 90 (2003) 765-775] proposed a random intercept model in the clustered binary data setting where the marginal model has a logistic form. An acknowledged limitation ...

We then sampled a phenotype for each individual from a generalized linear mixed model (GLMM) with a logistic link function whose parameters were adjusted to mimic that of the real data.