Bayesian Methods for Data Analysis

Approaches for statistical inference Introduction Motivating Vignettes Defining the Approaches The Bayes-Frequentist Controversy Some Basic Bayesian Models The Bayes approach Introduction Prior Distributions Bayesian Inference Hierarchical Modeling Model Assessment Nonparametric Methods Bayesian computation Introduction Asymptotic Methods Noniterative Monte Carlo Methods Markov Chain Monte Carlo Methods Model criticism and selection Bayesian Modeling Bayesian Robustness Model Assessment Bayes Factors via Marginal Density Estimation Bayes Factors via Sampling over the Model Space Other Model Selection Methods The empirical Bayes approach Introduction Parametric EB Point Estimation Nonparametric EB Point Estimation Interval Estimation Bayesian Processing and Performance Frequentist Performance Empirical Bayes Performance Bayesian design Principles of Design Bayesian Clinical Trial Design Applications in Drug and Medical Device Trials Special methods and models Estimating Histograms and Ranks Order Restricted Inference Longitudinal Data Models Continuous and Categorical Time Series Survival Analysis and Frailty Models Sequential Analysis Spatial and Spatio-Temporal Models Case studies Analysis of Longitudinal AIDS Data Robust Analysis of Clinical Trials Modeling of Infectious Diseases Appendices Distributional Catalog Decision Theory Answers to Selected Exercises References Author Index Subject Index Index Exercises appear at the end of each chapter.