Abstract

A binomial analysis of covariance (ANCOVA) can be specified by adding discrete and continuous covariates to the linear predictor of a binomial generalized linear model (GLM). It has been hypothesized that the black color confers a thermal advantage, and therefore, the proportion of black individuals should be greater in cooler or wetter habitats. The value of the linear predictor is again obtained by matrix multiplication of the design matrix (Xmat) and the parameter vector (beta.vec). Moving from the normal and the Poisson to a binomial ANCOVA involves only minor changes in the code of WinBUGS (and also R). Similarly, the concepts of residuals and posterior predictive distributions carry over to this class of models.

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