Dynamical Biostatistical Models: 1st Edition (Hardback) book cover

Dynamical Biostatistical Models

1st Edition

By Daniel Commenges, Helene Jacqmin-Gadda

Chapman and Hall/CRC

374 pages | 46 B/W Illus.

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pub: 2015-10-02
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Dynamical Biostatistical Models presents statistical models and methods for the analysis of longitudinal data. The book focuses on models for analyzing repeated measures of quantitative and qualitative variables and events history, including survival and multistate models. Most of the advanced methods, such as multistate and joint models, can be applied using SAS or R software.

The book describes advanced regression models that include the time dimension, such as mixed-effect models, survival models, multistate models, and joint models for repeated measures and time-to-event data. It also explores the possibility of unifying these models through a stochastic process point of view and introduces the dynamic approach to causal inference.

Drawing on much of their own extensive research, the authors use three main examples throughout the text to illustrate epidemiological questions and methodological issues. Readers will see how each method is applied to real data and how to interpret the results.


"The properties of this book may be summarized in two words: rich and concise. . . this is a very well-written book that manages to cover a lot of ground in a remarkably succinct way. . . I can highly recommend the book."

—Per Kragh Andersen, International Society for Clinical Biostatistics

"I think that those whose research is or will be in the area of dynamical biostatistics would benefit from having a copy on their shelves."

—Alice M. Richardson, Faculty of Education, Science, Technology and Mathematics, University of Canberra, Australia

"This book aims at describing methods of biostatistics modeling, in particular, dynamical model approaches for statisticians, as well as serving as a textbook for postgraduate students… The balance between theory and application is appropriate for both researchers performing biostatistics modeling and for students taking graduate level courses… The book is concisely written so that it covers a wide range of basic and dynamic models and modeling approaches with examples. Statisticians in the industry may feel a large part of the book too technical but can use the book for reference and may also benefit from the rich examples and R-codes, some with translation to SAS, in the appendix."

Pharmaceutical Statistics

"One of my favorite features of this book is that the same three examples are used throughout, and all the approaches discussed are applied to these examples. This allows readers to identify the similarities and differences of various techniques. Furthermore, it is a good way for readers to learn so-called data mining since diverse information can be mined by applying different statistical methods to the same dataset . . . I believe this book will be a successful text for graduate level courses focusing on dynamical biostatistical models that analyze time-dependent data. Its presentation of conventional methods is very effective."

~Hongjian Zhu, The University of Texas Health Science Center at Houston School of Public Health

" . . . the book presents mixed effects, survival, multistate, and joint models. Furthermore, unification of these dynamical models and causal inference is also discussed. The content is organized from simple classical methods to advanced ones, only requiring familiarity of standard regression models, such as linear and logistic regression. The methods are illustrated with real epidemiological examples using SAS and R, allowing readers to see how these methods solve problems in the real world. This book brings literature together for analysis of time-dependent data, so that readers will not need to read many other books and papers for this topic."

~Biometrics, June 2017

Table of Contents


General presentation of the book

Organization of the book


Presentation of examples

Classical Biostatistical Models


Generalities on inference: the concept of model

Likelihood and applications

Other types of likelihoods and estimation methods

Model choice

Optimization algorithms

Survival Analysis


Event, origin, and functions of interest

Observation patterns: censoring and truncation

Estimation of the survival function

The proportional hazards model

Accelerated failure time model

Counting processes approach

Additive hazards models

Degradation models

Models for Longitudinal Data

Linear mixed models

Generalized mixed linear models

Non-linear mixed models

Marginal models and generalized estimating equations (GEE)

Incomplete longitudinal data

Modeling strategies

Advanced Biostatistical Models

Extensions of Mixed Models

Mixed models for curvilinear outcomes

Mixed models for multivariate longitudinal data

Latent class mixed models

Advanced Survival Models

Relative survival

Competing risks models

Frailty models

Extension of frailty models

Cure models

Multistate Models


Multistate processes

Multistate models: generalities

Observation schemes

Statistical inference for multistate models observed in continuous time

Inference for multistate models from interval-censored data

Complex functions of parameters: individualized hazards, sojourn times

Approach by counting processes

Other approaches

Joint Models for Longitudinal and Time-to-Event Data


Models with shared random effects

Latent class joint model

Latent classes versus shared random effects

The joint model as prognostic model

Extension of joint models

The Dynamic Approach to Causality


Local independence, direct and indirect influence

Causal influences

The dynamic approach to causal reasoning in ageing studies

Mechanistic models

The issue of dynamic treatment regimes

Appendix: Software


About the Authors

Daniel Commenges is emeritus research director at INSERM and founder of the Biostatistics Team at the University of Bordeaux. Dr. Commenges has published more than 200 papers and was editor of Biometrics and an associate editor of several other journals. His main research interests focus on statistical models in epidemiology and biology, applications of stochastic processes, statistical inference in dynamical models, and model selection.

Hélène Jacqmin-Gadda is research director at INSERM and head of the Biostatistics Team at the University of Bordeaux. Dr. Jacqmin-Gadda is a member of the International Biometrics Society and was an associate editor of Biometrics. Her research involves methods for analyzing longitudinal data and joint models in areas, including brain aging, HIV, and cancer.

About the Series

Chapman & Hall/CRC Biostatistics Series

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General
MEDICAL / Epidemiology
MEDICAL / Biostatistics