Generalized Linear Mixed Models: Modern Concepts, Methods, and Applications (2nd edition) presents an updated introduction to linear modeling using the generalized linear mixed model (GLMM) as the overarching conceptual framework. For students new to statistical modeling, this book helps them see the big picture – linear modeling as broadly understood and its intimate connection with statistical design and mathematical statistics. For readers experienced in statistical practice, but new to GLMMs, the book provides a comprehensive introduction to GLMM methodology and its underlying theory. Unlike textbooks that focus on classical linear models or generalized linear models or mixed models, this book covers all of the above as members of a unified GLMM family of linear models. In addition to essential theory and methodology, this book features a rich collection of examples using SAS® software to illustrate GLMM practice. This second edition is updated to reflect lessons learned and experience gained regarding best practices and modeling choices faced by GLMM practitioners. New to this edition are two chapters focusing on Bayesian methods for GLMMs. Key Features: Most statistical modeling books cover classical linear models or advanced generalized and mixed models; this book covers all members of the GLMM family – classical and advanced models Incorporates lessons learned from experience and on-going research to provide up-to-date examples of best practices Illustrates connections between statistical design and modeling: guidelines for translating study design into appropriate model and in-depth illustrations of how to implement these guidelines; use of GLMM methods to improve planning and design Discusses the difference between marginal and conditional models, differences in the inference space they are intended to address and when each type of model is appropriate In addition to likelihood-based frequentist estimation and inference, provides a brief introduction to Bayesian methods for GLMMs

Table of Contents:
Preface to the Second Edition Part 1: Essential Background 1. Modeling Basics 2. Design Matters 3. Setting the Stage Part 2: Estimation and Inference Theory 4. Pre-GLMM Estimation and Inference Basics 5. GLMM Estimation 6. Inference, Part I 7. Inference, Part II Part 3: Applications 8. Treatment and Explanatory Variable Structure 9. Multi-Level Models 10. Best Linear Unbiased Prediction 11. Counts 12. Rates and Proportions 13. Zero-inflated and Hurdle Models 14. Multinomial Data 15. Time-to-Event Data 16. Smoothing Splines and Additive Models 17. Correlated Errors, part 1: Repeated Measures 18. Correlated Errors, part 2: Spatial Variability 19. Bayesian Implementation of GLMM 20. Four Bayesian GLMM Examples 21. Precision, Power, Sample Size and Planning