Bayesian Methods for Measures of Agreement

"This book is a welcome addition to the literature on Bayesian inference as it presents methods for the design and analysis of agreement studies. ... The approach presented by the author is novel and the novice will find a helpful introduction to Bayesian inference in an appendix. ... The text is readable and will form a valuable reference source. For those unfamiliar with WinBUGS, the author introduces the fundamentals of programming and executing BUGS." -International Statistical Review, 2010 "This book deals with measures of agreement from a Bayesian perspective, focusing mainly on variants of Cohen's , but also other measures included in Shoukri (2003) and von Eye and Mun (2005), frequentist texts for which this book is intended to be a Bayesian companion. Dr. Broemeling uses examples throughout the book to illustrate concepts rather than resorting to jargon ... This book would be valuable for those using the methods in Shoukri and von Eye and Mun. ..." -Journal of the Royal Statistical Society, Series A, Volume 173, Issue 1, January 2010

Lyle D. Broemeling

Introduction to Agreement Introduction Agreement and Statistics The Bayesian Approach Some Examples of Agreement Sources of Information Software and Computing A Preview of the Book Bayesian Methods of Agreement for Two Raters Introduction The Design of Agreement Studies Precursors of Kappa Chance Corrected Measures of Agreement Conditional Kappa Kappa and Stratification Weighted Kappa Intraclass Kappa Other Measures of Agreement Agreement with a Gold Standard Kappa and Association Consensus More Than Two Raters Introduction Kappa with Many Raters Partial Agreement Stratified Kappa Intraclass Kappa The Fleiss Generalized Kappa The G Coefficient and Other Indices Kappa and Homogeneity Introduction to Model-Based Approaches Agreement and Matching Agreement and Correlated Observations Introduction An Example of Paired Observations The Oden Pooled Kappa and Schouten Weighted Kappa A Generalized Correlation Model The G Coefficient and Other Indices of Agreement Homogeneity with Dependent Data Logistic Regression and Agreement Modeling Patterns of Agreement Introduction Nominal Responses Ordinal Responses More than Two Raters Other Methods for Patterns of Agreement Summary of Modeling and Agreement Agreement with Quantitative Scores Introduction Regression and Correlation The Analysis of Variance Intraclass Correlation Coefficient for Agreement With Covariates Other Considerations with Continuous Scores Sample Sizes for Agreement Studies Introduction The Classical and Bayesian Approaches to Power Analysis The Standard Populations: Classical and Bayesian Approaches Kappa, the G Coefficient, and Other Indices The Logistic Linear Model Regression and Correlation The Intraclass Correlation Bayesian Approaches to Sample Size Appendix A: Bayesian Statistics Introduction Bayes Theorem Prior Information Posterior Information Inference Predictive Inference Checking Model Assumptions Sample Size Problems Computing Appendix B: Introduction to WinBUGS Introduction Download The Essentials Execution Output Examples Summary Exercises appear at the end of each chapter.