Nonparametric Regression Methods for Longitudinal Data Analysis

Mixed-Effects Modeling Approaches

Hulin Wu, Jin-Ting Zhang - Collection Wiley Series in Probability and Statistics

400 pages, parution le 23/05/2006

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Résumé

This book presents current and effective nonparametric regression techniques for longitudinal data analysis and systematically investigates the incorporation of mixed-effects modeling techniques into various nonparametric regression models. The authors emphasize modeling ideas and inference methodologies, although some theoretical results for the justification of the proposed methods are presented.

With its logical structure and organization, beginning with basic principles, the text develops the foundation needed to master advanced principles and applications. Following a brief overview, data examples from biomedical research studies are presented and point to the need for nonparametric regression analysis approaches. Next, the authors review mixed-effects models and nonparametric regression models, which are the two key building blocks of the proposed modeling techniques.

The core section of the book consists of four chapters dedicated to the major nonparametric regression methods: local polynomial, regression spline, smoothing spline, and penalized spline. The next two chapters extend these modeling techniques to semiparametric and time varying coefficient models for longitudinal data analysis. The final chapter examines discrete longitudinal data modeling and analysis.

Each chapter concludes with a summary that highlights key points and also provides bibliographic notes that point to additional sources for further study. Examples of data analysis from biomedical research are used to illustrate the methodologies contained throughout the book. Technical proofsare presented in separate appendices.

With its focus on solving problems, this is an excellent textbook for upper-level undergraduate and graduate courses in longitudinal data analysis. It is also recommended as a reference for biostatisticians and other theoretical and applied research statisticians with an interest in longitudinal data analysis. Not only do readers gain an understanding of the principles of various nonparametric regression methods, but they also gain a practical understanding of how to use the methods to tackle real-world problems.

L'auteur - Hulin Wu

HULIN WU, PHD, is Professor of Biostatistics in the School of Medicine and Dentistry at the University of Rochester in the Departments of Medicine; Community and Preventative Medicine; and Biostatistics and Computational Biology. His research interests include longi-tudinal data, HIV/AIDS modeling, biomedical informatics, and clinical trials.

L'auteur - Jin-Ting Zhang

JIN-TING ZHANG, PHD, is Assistant Professor in the Department of Statistics and Applied Probability at the National University of Singapore. His research interests include nonparametric regression and density estimation, nonparametric mixed-effects modeling, functional data analysis, and longitudinal data analysis, among others.

Sommaire

Preface
Acronyms
Introduction
Parametric Mixed-Effects Models
Nonparametric Regression Smoothers
Local Polynomial Methods
Regression Spline Methods
Smoothing Splines Methods
Penalized Spline Methods
Semiparametric Models
Time-Varying Coefficient Models
Discrete Longitudinal Data
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Hulin Wu, Jin-Ting Zhang
Collection	Wiley Series in Probability and Statistics
Parution	23/05/2006
Nb. de pages	400
Format	16 x 23,5
Couverture	Relié
Poids	685g
Intérieur	Noir et Blanc
EAN13	9780471483502
ISBN13	978-0-471-48350-2