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Analysis of incomplete multivariate data. (English) Zbl 0997.62510
Monographs on Statistics and Applied Probability 72. London: Chapman & Hall (ISBN 0-412-04061-1). xii, 430 p. (1997).
Publisher’s description: The last two decades have seen enormous developments in statistical methods for incomplete data. The EM algorithm and its extensions, multiple imputation, and Markov Chain Monte Carlo provide a set of flexible and reliable tools from inference in large classes of missing-data problems. Yet, in practical terms, those developments have had surprisingly little impact on the way most data analysts handle missing values on a routine basis. This book will help to bridge the gap between theory and practice, making these missing-data tools accessible to a broad audience.
The book presents a unified, Bayesian approach to the analysis of incomplete multivariate data, covering datasets in which the variables are continuous, categorical, or both. It is written for applied statisticians, biostatisticians, practitioners of sample surveys, graduate students, and other methodologically-orientated researchers in search of practical tools to handle missing data. The focus is applied where necessary to help readers thoroughly understand the statistical properties of those methods, and the behavior of the accompanying algorithms. All techniques are illustrated with real data examples, with extended discussion and practical advice. All of the algorithms described in this book have been implemented by the author for general use in the statistical languages S and S Plus. The software is available free of charge via the Internet and the World Wide Web.

MSC:
62F15 Bayesian inference
62H99 Multivariate analysis
62-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
62-07 Data analysis (statistics) (MSC2010)
62-04 Software, source code, etc. for problems pertaining to statistics
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