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.
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
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.
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