Bayesian Evaluation of Informative Hypotheses

Bayesian Evaluation of Informative Hypotheses
Title Bayesian Evaluation of Informative Hypotheses PDF eBook
Author Herbert Hoijtink
Publisher Springer Science & Business Media
Pages 361
Release 2008-09-08
Genre Social Science
ISBN 0387096124

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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.

Bayesian Evaluation of Informative Hypotheses

Bayesian Evaluation of Informative Hypotheses
Title Bayesian Evaluation of Informative Hypotheses PDF eBook
Author Herbert Hoijtink
Publisher Springer
Pages 0
Release 2010-11-25
Genre Social Science
ISBN 9781441918741

Download Bayesian Evaluation of Informative Hypotheses Book in PDF, Epub and Kindle

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.

Informative Hypotheses

Informative Hypotheses
Title Informative Hypotheses PDF eBook
Author Herbert Hoijtink
Publisher Chapman & Hall/CRC
Pages 0
Release 2019-09-23
Genre
ISBN 9780367382223

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This detailed book discusses the evaluation of behavioral and social science hypotheses that are more informative than traditional null and alternative hypotheses. Requiring a minimal prerequisite knowledge of multivariate statistics, such as regression and ANOVA, it provides relevant information for those doing active research in the social and behavioral sciences. Informative Hypotheses: Theory and Practice for Behavioral and Social Scientists considers Bayesian and classical approaches and pays considerable attention to sample size determination. Software is available for all functions discussed in the book.

Bayesian Data Analysis, Third Edition

Bayesian Data Analysis, Third Edition
Title Bayesian Data Analysis, Third Edition PDF eBook
Author Andrew Gelman
Publisher CRC Press
Pages 677
Release 2013-11-01
Genre Mathematics
ISBN 1439840954

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Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Informative Hypotheses

Informative Hypotheses
Title Informative Hypotheses PDF eBook
Author Herbert Hoijtink
Publisher CRC Press
Pages 243
Release 2011-10-26
Genre Mathematics
ISBN 1439880514

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When scientists formulate their theories, expectations, and hypotheses, they often use statements like: ``I expect mean A to be bigger than means B and C"; ``I expect that the relation between Y and both X1 and X2 is positive"; and ``I expect the relation between Y and X1 to be stronger than the relation between Y and X2". Stated otherwise, they formulate their expectations in terms of inequality constraints among the parameters in which they are interested, that is, they formulate Informative Hypotheses. There is currently a sound theoretical foundation for the evaluation of informative hypotheses using Bayes factors, p-values and the generalized order restricted information criterion. Furthermore, software that is often free is available to enable researchers to evaluate the informative hypotheses using their own data. The road is open to challenge the dominance of the null hypothesis for contemporary research in behavioral, social, and other sciences.

Bayesian Structural Equation Modeling

Bayesian Structural Equation Modeling
Title Bayesian Structural Equation Modeling PDF eBook
Author Sarah Depaoli
Publisher Guilford Publications
Pages 549
Release 2021-08-16
Genre Social Science
ISBN 1462547745

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This book offers researchers a systematic and accessible introduction to using a Bayesian framework in structural equation modeling (SEM). Stand-alone chapters on each SEM model clearly explain the Bayesian form of the model and walk the reader through implementation. Engaging worked-through examples from diverse social science subfields illustrate the various modeling techniques, highlighting statistical or estimation problems that are likely to arise and describing potential solutions. For each model, instructions are provided for writing up findings for publication, including annotated sample data analysis plans and results sections. Other user-friendly features in every chapter include "Major Take-Home Points," notation glossaries, annotated suggestions for further reading, and sample code in both Mplus and R. The companion website (www.guilford.com/depaoli-materials) supplies data sets; annotated code for implementation in both Mplus and R, so that users can work within their preferred platform; and output for all of the book’s examples.

Bayesian Approaches to Clinical Trials and Health-Care Evaluation

Bayesian Approaches to Clinical Trials and Health-Care Evaluation
Title Bayesian Approaches to Clinical Trials and Health-Care Evaluation PDF eBook
Author David J. Spiegelhalter
Publisher John Wiley & Sons
Pages 416
Release 2004-01-16
Genre Mathematics
ISBN 9780471499756

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READ ALL ABOUT IT! David Spiegelhalter has recently joined the ranks of Isaac Newton, Charles Darwin and Stephen Hawking by becoming a fellow of the Royal Society. Originating from the Medical Research Council’s biostatistics unit, David has played a leading role in the Bristol heart surgery and Harold Shipman inquiries. Order a copy of this author’s comprehensive text TODAY! The Bayesian approach involves synthesising data and judgement in order to reach conclusions about unknown quantities and make predictions. Bayesian methods have become increasingly popular in recent years, notably in medical research, and although there are a number of books on Bayesian analysis, few cover clinical trials and biostatistical applications in any detail. Bayesian Approaches to Clinical Trials and Health-Care Evaluation provides a valuable overview of this rapidly evolving field, including basic Bayesian ideas, prior distributions, clinical trials, observational studies, evidence synthesis and cost-effectiveness analysis. Covers a broad array of essential topics, building from the basics to more advanced techniques. Illustrated throughout by detailed case studies and worked examples Includes exercises in all chapters Accessible to anyone with a basic knowledge of statistics Authors are at the forefront of research into Bayesian methods in medical research Accompanied by a Web site featuring data sets and worked examples using Excel and WinBUGS - the most widely used Bayesian modelling package Bayesian Approaches to Clinical Trials and Health-Care Evaluation is suitable for students and researchers in medical statistics, statisticians in the pharmaceutical industry, and anyone involved in conducting clinical trials and assessment of health-care technology.