Bayesian Evaluation of Informative Hypotheses (eBook)

Herbert Hoijtink, Irene Klugkist, Paul Boelen (Herausgeber)

eBook Download: PDF

2008 | 1. Auflage
XII, 361 Seiten
Springer-Verlag
978-0-387-09612-4 (ISBN)

Infos

This book provides an overview of the developments in the area of Bayesian evaluation of informative hypotheses that took place since the publication of the ?rst paper on this topic in 2001 [Hoijtink, H. Con?rmatory latent class analysis, model selection using Bayes factors and (pseudo) likelihood ratio statistics. Multivariate Behavioral Research, 36, 563–588]. The current state of a?airs was presented and discussed by the authors of this book during a workshop in Utrecht in June 2007. Here we would like to thank all authors for their participation, ideas, and contributions. We would also like to thank Sophie van der Zee for her editorial e?orts during the construction of this book. Another word of thanks is due to John Kimmel of Springer for his con?dence in the editors and authors. Finally, we would like to thank the Netherlands Organization for Scienti?c Research (NWO) whose VICI grant (453-05-002) awarded to the ?rst author enabled the organization of the workshop, the writing of this book, and continuation of the research with respect to Bayesian evaluation of informative hypotheses.

Inhalt

Preface 6
Contents 7
List of Contributors 9
1 An Introduction to Bayesian Evaluation of Informative Hypotheses 12
Part I Bayesian Evaluation of Informative Hypotheses 15
2 Illustrative Psychological Data and Hypotheses for Bayesian Inequality Constrained Analysisof Variance 16
3 Bayesian Estimation for Inequality Constrained Analysis of Variance 36
4 Encompassing Prior Based Model Selection for Inequality Constrained Analysis of Variance 62
5 An Evaluation of Bayesian Inequality Constrained Analysis of Variance 93
Part II A Further Study of Prior Distributions and the Bayes Factor 117
6 Bayes Factors Based on Test Statistics Under Order Restrictions 118
7 Objective Bayes Factors for Informative Hypotheses: “Completing” the Informative Hypothesis and “Splitting” the Bayes Factors 137
8 The Bayes Factor Versus Other Model Selection Criteria for the Selection of Constrained Models 161
9 Bayesian Versus Frequentist Inference 187
Part III Beyond Analysis of Variance 214
10 Inequality Constrained Analysis of Covariance 215
11 Inequality Constrained Latent Class Models 230
12 Inequality Constrained Contingency Table Analysis 250
13 Inequality Constrained Multilevel Models 275
Part IV Evaluations 298
14 A Psychologist’s View on Bayesian Evaluation of Informative Hypotheses 299
15 A Statistician’s View on Bayesian Evaluation of Informative Hypotheses 309
16 A Philosopher’s View on Bayesian Evaluation of Informative Hypotheses 328
Index 357

Produkt-Details

• Erscheint lt. Verlag: 8.9.2008
• Reihe/Serie: Statistics for Social and Behavioral Sciences
• Reihe/Serie: Statistics for Social and Behavioral Sciences
• Zusatzinfo: XII, 361 p.
• Verlagsort: New York
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Psychologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Sozialwissenschaften ► Politik / Verwaltung
• Themenwelt: Sozialwissenschaften ► Soziologie ► Empirische Sozialforschung
• Themenwelt: Technik
• Schlagworte: Analysis of Variance • Evaluation • Latent Class Analysis • Multilevel analysis • Statistics
• ISBN-10: 0-387-09612-4 / 0387096124
• ISBN-13: 978-0-387-09612-4 / 9780387096124