Bayesian Evaluation of Informative Hypotheses

Buch | Hardcover
361 Seiten
2008 | 2008 ed.
Springer-Verlag New York Inc.
978-0-387-09611-7 (ISBN)

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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.

An Introduction to Bayesian Evaluation of Informative Hypotheses.- An Introduction to Bayesian Evaluation of Informative Hypotheses.- Bayesian Evaluation of Informative Hypotheses.- Illustrative Psychological Data and Hypotheses for Bayesian Inequality Constrained Analysis of Variance.- Bayesian Estimation for Inequality Constrained Analysis of Variance.- Encompassing Prior Based Model Selection for Inequality Constrained Analysis of Variance.- An Evaluation of Bayesian Inequality Constrained Analysis of Variance.- A Further Study of Prior Distributions and the Bayes Factor.- Bayes Factors Based on Test Statistics Under Order Restrictions.- Objective Bayes Factors for Informative Hypotheses: “Completing” the Informative Hypothesis and “Splitting” the Bayes Factors.- The Bayes Factor Versus Other Model Selection Criteria for the Selection of Constrained Models.- Bayesian Versus Frequentist Inference.- Beyond Analysis of Variance.- Inequality Constrained Analysis of Covariance.- Inequality Constrained Latent Class Models.- Inequality Constrained Contingency Table Analysis.- Inequality Constrained Multilevel Models.- Evaluations.- A Psychologist’s View on Bayesian Evaluation of Informative Hypotheses.- A Statistician’s View on Bayesian Evaluation of Informative Hypotheses.- A Philosopher’s View on Bayesian Evaluation of Informative Hypotheses.

Erscheint lt. Verlag 6.10.2008
Reihe/Serie Statistics for Social and Behavioral Sciences
Zusatzinfo XII, 361 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Geisteswissenschaften Psychologie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Sozialwissenschaften Soziologie Empirische Sozialforschung
ISBN-10 0-387-09611-6 / 0387096116
ISBN-13 978-0-387-09611-7 / 9780387096117
Zustand Neuware
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