GENERALIZED LINEAR MIXED MODELS: AN APPLICATION

Bayesian Inference for Spatial Beta Generalized Linear Mixed Models

In some applications, the response variable assumes values in the unit interval. The standard linear regression model is not appropriate for modelling this type of data because the normality assumption is not met. Alternatively, the beta regression model has been introduced to analyze such observations. A beta distribution represents a flexible density family on (0, 1) interval that covers symm...

Generalized Linear Mixed Models

Generalized linear models (GLMs) represent a class of fixed effects regression models for several types of dependent variables (i.e., continuous, dichotomous, counts). McCullagh and Nelder [32] describe these in great detail and indicate that the term ‘generalized linear model’ is due to Nelder and Wedderburn [35] who described how a collection of seemingly disparate statistical techniques coul...

Generalized Linear Mixed Models

An Introduction to Generalized Linear Mixed Models

Linear mixed models provide a powerful means of predicting breeding values. However, for many traits of economic importance the assumptions of linear responses, constant variance, and normality are questionable. Generalized linear mixed models provide a means of modeling these deviations from the usual linear mixed model. This paper will examine what constitutes a generalized linear mixed model...

Generalized Linear Mixed Models for Nominal Data

Nominal variables include unordered polytomous variables and permutations. An unordered polytomous response is one among a set of categories whereas a permutation is an ordering of categories. The categories are nominal in the sense that they do not possess an inherent ordering shared by all units as is assumed for ordinal variables. Using decision terminology, we will refer to the categories a...