Linear Mixed Models for Longitudinal Data

Couverture
Springer Science & Business Media, 12 mai 2009 - 570 pages
This book provides a comprehensive treatment of linear mixed models for continuous longitudinal data. Next to model formulation, this edition puts major emphasis on exploratory data analysis for all aspects of the model, such as the marginal model, subject-specific profiles, and residual covariance structure. Further, model diagnostics and missing data receive extensive treatment. Sensitivity analysis for incomplete data is given a prominent place. Several variations to the conventional linear mixed model are discussed (a heterogeity model, conditional linear mid models). This book will be of interest to applied statisticians and biomedical researchers in industry, public health organizations, contract research organizations, and academia. The book is explanatory rather than mathematically rigorous. Most analyses were done with the MIXED procedure of the SAS software package, and many of its features are clearly elucidated. How3ever, some other commercially available packages are discussed as well. Great care has been taken in presenting the data analyses in a software-independent fashion. Geert Verbeke is Assistant Professor at the Biostistical Centre of the Katholieke Universiteit Leuven in Belgium. He received the B.S. degree in mathematics (1989) from the Katholieke Universiteit Leuven, the M.S. in biostatistics (1992) from the Limburgs Universitair Centrum, and earned a Ph.D. in biostatistics (1995) from the Katholieke Universiteit Leuven. Dr. Verbeke wrote his dissertation, as well as a number of methodological articles, on various aspects of linear mixed models for longitudinal data analysis. He has held visiting positions at the Gerontology Research Center and the Johns Hopkins University. Geert Molenberghs is Assistant Professor of Biostatistics at the Limburgs Universitair Centrum in Belgium. He received the B.S. degree in mathematics (1988) and a Ph.D. in biostatistics (1993) from the Universiteit Antwerpen. Dr. Molenberghs published methodological work on the analysis of non-response in clinical and epidemiological studies. He serves as an associate editor for Biometrics, Applied Statistics, and Biostatistics, and is an officer of the Belgian Statistical Society. He has held visiting positions at the Harvard School of Public Health.
 

Table des matières

Introduction
1
A Model for Longitudinal Data
19
Exploratory Data Analysis
31
Estimation of the Marginal Model
41
Inference for the Marginal Model
55
Inference for the Random Effects
77
Fitting Linear Mixed Models with SAS
93
General Guidelines for Model Building
121
Simple Missing Data Methods
221
Selection Models 231
230
PatternMixture Models
275
Sensitivity Analysis for Selection Models 295
294
Sensitivity Analysis for PatternMixture Models
331
How Ignorable Is Missing At Random ?
375
The ExpectationMaximization Algorithm
387
Case Studies
405

Exploring Serial Correlation
135
Local Influence for the Linear Mixed Model
151
The Heterogeneity Model 169
168
Conditional Linear Mixed Models
189
Exploring Incomplete Data
201
Joint Modeling of Measurements and Missingness 209
208
Appendix
485
B Technical Details for Sensitivity Analysis
515
References 523
522
Index
554
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