ABSTRACT

Likelihood Inference and the

Generalized Linear Model

2.1 Motivation

This chapter is all about mathematical statistics prerequisites and prelim-

inaries. The core objective here is to provide a description of likelihood

inference and estimation as a interim goal on the path to fully understand-

ing Bayesian models. Since Bayesian inference is a combination of prior

information and sample information from the likelihood function, under-

standing likelihood is important to our purposes. The second component of

this chapter, a description of generalized linear models, is also important

in that it provides a unied means of conceptualizing parametric speci-

cations. This framework is one that is sorely needed in the social and

behavioral sciences as most students learn this material as a disparate set

of unconnected techniques.