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Bayesian Evaluation of Informative Hypotheses

  • Herbert Hoijtink
  • Irene Klugkist
  • Paul A. Boelen

Part of the Statistics for Social and Behavioral Sciences book series (SSBS)

Table of contents

  1. Front Matter
    Pages I-XI
  2. An Introduction to Bayesian Evaluation of Informative Hypotheses

    1. Front Matter
      Pages 1-1
    2. Herbert Hoijtink, Irene Klugkist, Paul A. Boelen
      Pages 1-3
  3. Bayesian Evaluation of Informative Hypotheses

    1. Front Matter
      Pages 5-5
    2. Herbert Hoijtink, Rafaele Huntjens, Albert Reijntjes, Rebecca Kuiper, Paul A. Boelen
      Pages 85-108
  4. A Further Study of Prior Distributions and the Bayes Factor

    1. Front Matter
      Pages 109-109
    2. David Rossell, Veerabhadran Baladandayuthapani, Valen E. Johnson
      Pages 111-129
    3. Eric-Jan Wagenmakers, Michael Lee, Tom Lodewyckx, Geoffrey J. Iverson
      Pages 181-207
  5. Beyond Analysis of Variance

    1. Front Matter
      Pages 209-209
    2. Irene Klugkist, Floryt van Wesel, Sonja van Well, Annemarie Kolk
      Pages 211-225
    3. Herbert Hoijtink, Jan Boom
      Pages 227-246
    4. Bernet Sekasanvu Kato, Carel F.W. Peeters
      Pages 273-295
  6. Evaluations

    1. Front Matter
      Pages 297-297
    2. Marleen Rijkeboer, Marcel van den Hout
      Pages 299-308
    3. Jay I. Myung, George Karabatsos, Geoffrey J. Iverson
      Pages 309-327
    4. Jan-Willem Romeijn, Rens van de Schoot
      Pages 329-357
  7. Back Matter
    Pages 359-361

About this book

Introduction

This book presents an alternative for traditional null hypothesis testing. It builds on the idea that researchers usually have more informative research-questions than the "nothing is going on" null hypothesis, or the "something is going on" alternative hypothesis. To be more precise, researchers often express their expectations in terms of expected orderings in parameters, for instance, in group means. This book introduces a novel approach, wherein theories or expectations of empirical researchers are translated into one or more so-called informative hypotheses, i.e., hypotheses imposing inequality constraints on (some of) the model parameters. As a consequence, informative hypotheses are much closer to the actual questions researchers have and therefore make optimal use of the data to provide more informative answers to these questions.

A Bayesian approach is used for the evaluation of informative hypotheses and is introduced at a non-technical level in the context of analysis of variance models. Technical aspects of Bayesian evaluation of informative hypotheses are also considered and different approaches are presented by an international group of Bayesian statisticians. Furthermore, applications in a variety of statistical models including among others latent class analysis and multi-level modeling are presented, again at a non-technical level. Finally, the proposed method is evaluated from a psychological, statistical and philosophical point of view.

This book contains numerous illustrations, all in the context of psychology. The proposed methodology, however, is equally relevant for research in other social sciences (e.g., sociology or educational sciences), as well as in other disciplines (e.g., medical or economical research).

The editors are all affiliated at the faculty of Social Sciences at Utrecht University in the Netherlands. Herbert Hoijtink is a professor in applied Bayesian statistics at the Department of Methodology and Statistics. Irene Klugkist is assistant professor at the same department, and Paul A. Boelen is assistant professor at the Department of Clinical and Health Psychology.

Keywords

Evaluation Latent Class Analysis analysis of variance multilevel analysis statistics

Editors and affiliations

  • Herbert Hoijtink
    • 1
  • Irene Klugkist
    • 1
  • Paul A. Boelen
    • 2
  1. 1.Department of Methods and Statistics, Faculty of Social SciencesUniversity of UtrechtUtrechtThe Netherlands
  2. 2.Department of Clinical and Health Psychology, Faculty of Social SciencesUniversity of UtrechtUtrechtThe Netherlands

Bibliographic information