ABSTRACT
This chapter discusses how to extend the LMs and generalized linear model (GLM) to hande this type of response. It starts by extending LMs with a simple grouping structure that can be generalized to more complex models. The chapter looks at an example where individuals are measured longitudinally. The GLM also has its extension to generalized linear mixed models (GLMM). It develops the methodology of integrated nested Laplace approximations (INLA) for Linear mixed models (LMMs) with a series of examples, starting with the simplest kind of mixed model. Hawkins reports data on the nitrogen content of reeds at three different 10cations in Cambridgeshire, England. The reeds are part of an ecosystem supporting a variety of moth and there is some interest in how the nitrogen content might vary from location to location. Converting the SD of the precision to the SD of the standard deviation requires a different transformation so we have omitted this from the computation.
