GLMs and GLMMs in the analysis of randomized experiments
Seminar Room 1, Newton Institute
The Normal linear model analysis is usually used as an approximation to the exact randomization analysis and extended to structures, such as nonorthogonal split-plot designs, as a natural approximation. If the responses are counts or proportions a generalized linear model (GLM) is often used instead. It will be shown that GLMs do not in general arise as natural approximations to the randomization model. Instead the natural approximation is a generalized linear mixed model (GLMM).