Chapter 9Generalized Linear Mixed Models

Throughout this book we have thus far considered examples for which the response is continuous, assuming that the random effects and residual errors follow a normal (Gaussian) distribution. While this is arguably the most common type of mixed model, in many cases the response is discrete. In this chapter, we address mixed models for non-normally distributed data.

9.1 Motivating Examples

The three most common examples of non-normal data are:

Binomial — the number of successes, y, out of n trials. The Shrub Coverage example from Parks Canada measures the number of sampling points out of 100 that contain species from a plant functional group during a given year. A "success" in this case is the presence of ...

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