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."
"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
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
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
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
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
Competing risks models
Extension of frailty models
Multistate models: generalities
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
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
The dynamic approach to causal reasoning in ageing studies
The issue of dynamic treatment regimes