Drawing from the authors’ own work and from the most recent developments in the field, Missing Data in Longitudinal Studies: Strategies for Bayesian Modeling and Sensitivity Analysis describes a comprehensive Bayesian approach for drawing inference from incomplete data in longitudinal studies. To illustrate these methods, the authors employ several data sets throughout that cover a range of study designs, variable types, and missing data issues. The book first reviews modern approaches to formulate and interpret regression models for longitudinal data. It then discusses key ideas in Bayesian inference, including specifying prior distributions, computing posterior distribution, and assessing model fit. The book carefully describes the assumptions needed to make inferences about a full-data distribution from incompletely observed data. For settings with ignorable dropout, it emphasizes the importance of covariance models for inference about the mean while for nonignorable dropout, the book studies a variety of models in detail. It concludes with three case studies that highlight important features of the Bayesian approach for handling nonignorable missingness. With suggestions for further reading at the end of most chapters as well as many applications to the health sciences, this resource offers a unified Bayesian approach to handle missing data in longitudinal studies.
Author(s): Michael J. Daniels, Joseph W. Hogan
Edition: 1
Year: 2008
Language: English
Pages: 324
Tags: Математика;Теория вероятностей и математическая статистика;Математическая статистика;Прикладная математическая статистика;
Cover......Page 1
Title......Page 6
Copyright......Page 7
Contents......Page 10
Preface......Page 18
CHAPTER 1: Description of Motivating Examples......Page 22
CHAPTER 2: Regression Models for Longitudinal Data......Page 36
CHAPTER 3: Methods of Bayesian Inference......Page 60
CHAPTER 4: Worked Examples using Complete Data......Page 93
CHAPTER 5: Missing Data Mechanisms and Longitudinal Data......Page 106
CHAPTER 6: Inference about Full-Data Parameters under Ignorability......Page 136
CHAPTER 7: Case Studies: Ignorable Missingness......Page 166
CHAPTER 8: Models for Handling Nonignorable Missingness......Page 186
CHAPTER 9: Informative Priors and Sensitivity Analysis......Page 237
CHAPTER 10: Case Studies: Nonignorable Missingness......Page 254
Distributions......Page 289
Bibliography......Page 292
Author Index......Page 313
Index......Page 319