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.

Estimation for the composite link GLMM is described, as well as an alternative to the GLMM in which random effects are incorporated as linear components on the same scale as the response. This model ...