Introduction Introduction Longitudinal Data and Clustered Data Some Examples Regression Models Mixed Effects Models Complex or Incomplete Data Software Outline and Notation Mixed Effects Models Introduction Linear Mixed Effects (LME) Models Nonlinear Mixed Effects (NLME) Models Generalized Linear Mixed Models (GLMMs) Nonparametric and Semiparametric Mixed Effects Models Computational Strategies Further Topics Software Missing Data, Measurement Errors, and Outliers Introduction Missing Data Mechanisms and Ignorability General Methods for Missing Data EM Algorithms Multiple Imputation General Methods for Measurement Errors General Methods for Outliers Software Mixed Effects Models with Missing Data Introduction Mixed Effects Models with Missing Covariates Approximate Methods Mixed Effects Models with Missing Responses Multiple Imputation Methods Computational Strategies Examples Mixed Effects Models with Covariate Measurement Errors Introduction Measurement Error Models and Methods Two-Step Methods and Regression Calibration Methods Likelihood Methods Approximate Methods Measurement Error and Missing Data Mixed Effects Models with Censoring Introduction Mixed Effects Models with Censored Responses Mixed Effects Models with Censoring and Measurement Errors Mixed Effects Models with Censoring and Missing Data Appendix Survival Mixed Effects (Frailty) Models Introduction Survival Models Frailty Models Survival and Frailty Models with Missing Covariates Frailty Models with Measurement Errors Joint Modeling Longitudinal and Survival Data Introduction Joint Modeling for Longitudinal Data and Survival Data Two-Step Methods Joint Likelihood Inference Joint Models with Incomplete Data Joint Modeling of Several Longitudinal Processes Robust Mixed Effects Models Introduction Robust Methods Mixed Effects Models with Robust Distributions M-Estimators for Mixed Effects Models Robust Inference for Mixed Effects Models with Incomplete Data Generalized Estimating Equations (GEEs) Introduction Marginal Models Estimating Equations with Incomplete Data Discussion Bayesian Mixed Effects Models Introduction Bayesian Methods Bayesian Mixed Effects Models Bayesian Mixed Models with Missing Data Bayesian Models with Covariate Measurement Errors Bayesian Joint Models of Longitudinal and Survival Data Appendix: Background Materials Likelihood Methods The Gibbs Sampler and MCMC Methods Rejection Sampling and Importance Sampling Methods Numerical Integration and the Gauss-Hermite Quadrature Method Optimization Methods and the Newton-Raphson Algorithm Bootstrap Methods Matrix Algebra and Vector Differential Calculus References Index Abstract
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