Bayesian Evaluation of Informative Hypotheses

✍ Scribed by Herbert Hoijtink, Irene Klugkist, Paul A. Boelen

• Publisher: Springer
• Year: 2008
• Tongue: English
• Leaves: 359
• Series: Statistics for Social and Behavioral Sciences
• Edition: 1
• Category: Library

✦ Synopsis

This book provides the philosophical, statistical and psychological foundation for the evaluation of informed hypotheses.

✦ Table of Contents

Front
......Page 1
Preface
......Page 5
Contents
......Page 6
List of contributors
......Page 8
1. An introduction to Bayesian evaluation of informative hypotheses
......Page 11
I. Bayesian evaluation of informative hypotheses
......Page 14
2. Illustrative psychological data and hypothesis for Bayesian inequality constrained analysis of variance
......Page 15
3. Bayesian estimation for inequality constrained analysis of variance
......Page 35
4. Encompassing prior based model selection for inequality constrained analysis of variance
......Page 61
5. An evaluation of Bayesian inequality constrained analysis of variance
......Page 92
II. A further study of prior distributions and the Bayes factor
......Page 116
6. Bayes factors based on test statistics under order restrictions
......Page 117
7. Objective Bayes factors for informative hypotheses: "competing" the informative hypothesis and "splitting" the Bayes factors
......Page 136
8. The Bayes factor versus other model selection criteria for the selection of constrained models
......Page 160
9. Bayesian versus frequentist inference
......Page 186
III. Beyond analysis of variance
......Page 213
10. Inequality constrained analysis of variance
......Page 214
11. Inequality constrained latent class models
......Page 229
12. Inequality constrained contingency table analysis
......Page 249
13. Inequality constrained multilevel models
......Page 274
IV. Evaluations
......Page 297
14. A psychologist's view on Bayesian evaluation of informative hypotheses
......Page 298
15. A statistician's view on Bayesian evaluation of informative hypotheses
......Page 308
16. A philosopher's view on Bayesian evaluation of informative hypotheses
......Page 327
Index
......Page 356