Chapter 14: Categorical Data Analysis with a Psychometric Twist

Carolyn J. Anderson

Categorical data analysis with a psychometric twist Variables measured in psychological and social science research are often discrete, such as the choice between two objects in a paired comparison experiment, the response option selected on a survey item, the correct answer on a test question, career choice, gender, the highest degree earned, and many others. The focus of this chapter is on models for discrete data such as those often collected in psychological and educational research. The statistical models presented in this chapter fall within the class of generalized linear models (GLM). The GLM framework provides a unification of numerous models proposed in statistics, medicine, economics, sociology, and psychology. Many statistical models for categorical data were developed outside the realm of psychology; however, many psychometric models can be fit to data as a GLM. Described in this chapter are special cases of GLMs that correspond to particular psychometric models. These ...

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