Quantitative Psychology is arguably one of the oldest disciplines within the field of psychology and nearly all psychologists are exposed to quantitative psychology in some form. While textbooks in statistics, research methods, and psychological measurement exist none offer a unified treatment of quantitative psychology. The SAGE Handbook of Quantitative Methods in Psychology does just that. Each chapter covers a methodological topic with equal attention paid to established theory and the challenges facing methodologists as they address new research questions using that particular methodology. The reader will come away from each chapter with a greater understanding of the methodology being addressed as well as an understanding of the directions for future developments within that methodological area.

Categorical Data Analysis with a Psychometric Twist

Categorical Data Analysis with a Psychometric Twist

Categorical data analysis with a psychometric twist

Introduction

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 ...

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