Linear Mixed Models for Longitudinal Data

Introduction

Examples

A model for Longitudinal Data

Exploratory Data Analysis

Estimation of the Marginal Model

Inference for the Marginal Model

Inference for the Random Effects

Fitting Linear Mixed Models with SAS

General Guidelines for Model Building

Exploring Serial Correlation

Local Influence for the Linear Mixed Model

The Heterogeneity Model

Conditional Linear Mixed Models

Exploring Incomplete Data

Joint Modeling of Measurements and Missingness

Simple Missing Data Methods

Selection Models

Pattern -Mixture Models

Sensitivity Analysis for Selection Models

Sensitivity Analysis for Models

How Ignorable is Missing at Random?

The Expectation-Maximization Algorithm

Design Considerations

Case Studies

From the reviews:

MATHEMATICAL REVIEWS

"This book emphasizes practice rather than mathematical rigor and the majority of the chapters are explanatory rather than research oriented. In this respect, guidance and advice on practical issues are the main focus of the text. Hence it will be of interest to applied statisticians and biomedical researchers in industry, particularly in the pharmaceutical industry, medical public health organizations, contract research organizations, and academia."

"This book provides a comprehensive treatment of linear mixed models for continuous longitudinal data. Over 125 illustrations are included in the book. ... I do believe that the book may serve as a useful reference to a broader audience. Since practical examples are provided as well as discussion of the leading software utilization, it may also be appropriate as a textbook in an advanced undergraduate-level or a graduate-level course in an applied statistics program." (Ana Ivelisse Avil és, Technometrics, Vol. 43 (3), 2001)

"A practical book with a great many examples, including worked computer code and access to the datasets. ... The authors state that the book covers 'linear mixed models for continuous outcomes' ... . The book has four main strengths: its practical bent, its emphasis on exploratory analysis, its description of tools for model checking, and its treatment of dropout and missingness ... . my impression of the book was ... positive. Its strong practical nature and emphasis on dropout modelling are particularly welcome ... ." (Harry Southworth, ISCB Newsletter, June, 2002)

"This book is devoted to linear mixed-effects models with strong emphasis on the SAS procedure. Guidance and advice on practical issues are the main focus of the text. ... It is of value to applied statisticians and biomedical researchers. ... I recommend this book as a reference to applied statisticians and biomedical researchers, particularly in the

From the reviews:

MATHEMATICAL REVIEWS

"This book emphasizes practice rather than mathematical rigor and the majority of the chapters are explanatory rather than research oriented. In this respect, guidance and advice on practical issues are the main focus of the text. Hence it will be of interest to applied statisticians and biomedical researchers in industry, particularly in the pharmaceutical industry, medical public health organizations, contract research organizations, and academia."

"This book provides a comprehensive treatment of linear mixed models for continuous longitudinal data. Over 125 illustrations are included in the book. ... I do believe that the book may serve as a useful reference to a broader audience. Since practical examples are provided as well as discussion of the leading software utilization, it may also be appropriate as a textbook in an advanced undergraduate-level or a graduate-level course in an applied statistics program." (Ana Ivelisse Avil és, Technometrics, Vol. 43 (3), 2001)

"A practical book with a great many examples, including worked computer code and access to the datasets. ... The authors state that the book covers 'linear mixed models for continuous outcomes' ... . The book has four main strengths: its practical bent, its emphasis on exploratory analysis, its description of tools for model checking, and its treatment of dropout and missingness ... . my impression of the book was ... positive. Its strong practical nature and emphasis on dropout modelling are particularly welcome ... ." (Harry Southworth, ISCB Newsletter, June, 2002)

"This book is devoted to linear mixed-effects models with strong emphasis on the SAS procedure. Guidance and advice on practical issues are the main focus of the text. ... It is of value to applied statisticians and biomedical researchers. ... I recommend this book as a reference to applied statisticians and biomedical researchers, particularly in