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.

Bayesian Data Analysis

Bayesian data analysis

Introduction

It is impossible to give a comprehensive introduction to Bayesian data analysis in just one chapter. In the sequel, I will present what I consider to be the most important components of Bayesian data analysis: parameter estimation based on the Gibbs sampler; the Bayesian counterpart of hypothesis testing (posterior predictive inference); and model selection using the Bayes factor. The chapter will be concluded with a short discussion of Bayesian hierarchical modeling and references to topics that will not be discussed in this chapter. For accessible introductions to Bayesian data analysis the interested reader is referred to Gill (2002) and Lee (1997). Throughout the chapter, references for further reading will be given both to these two books and to more advanced ...

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