Generalized linear mixed models: modern concepts, methods and applications

Front Cover......Page 1
Generalized Linear Mixed Models: Modern Concepts, Methods and Applications......Page 6
Copyright......Page 7
Table of Contents......Page 8
Preface......Page 16
Acknowledgments......Page 26
Part I: The Big Picture......Page 28
 1. Modeling Basics......Page 30
 2. Design Matters......Page 52
 3. Setting the Stage......Page 92
Part II: Estimation and Inference Essentials......Page 146
 4. Estimation......Page 148
 5. Inference, Part I: Model Effects......Page 176
 6. Inference, Part II: Covariance Components......Page 206
Part III: Working with GLMMs......Page 228
 7. Treatment and Explanatory Variable Structure......Page 230
 8. Multilevel Models......Page 266
 9. Best Linear Unbiased Prediction......Page 298
 10. Rates and Proportions......Page 326
 11. Counts......Page 362
 12. Time-to-Event Data......Page 402
 13. Multinomial Data......Page 424
 14. Correlated Errors, Part I: Repeated Measures......Page 440
 15. Correlated Errors, Part II: Spatial Variability......Page 470
 16. Power, Sample Size, and Planning......Page 494
Appendices: Essential Matrix Operations and Results......Page 526
Appendix A: Matrix Operations......Page 528
Appendix B: Distribution Theory for Matrices......Page 536
References......Page 540
Back Cover......Page 547