SAS for Mixed Models, Second Edition, 2nd Edition

Appendix 1:Linear Mixed Model Theory

A1

 

A1.1 Introdu ction

A1.2 Matrix Notation

A1.3 Formulation of the Mixed Model

A1.3.1 The General Linear Mixed Model

A1.3.2 Conditional and Marginal Distributions

A1.3.3 Example: Growth Curve with Compound Symmetry

A1.3.4 Example: Split-Plot Design

A1.4 Estimating Parameters, Predicting Random Effects

A1.4.1 Estimating β and Predicting u: The Mixed Model Equations

A1.4.2 Random Effects, Ridging, and Shrinking

A1.4.3 It’s All in the Sweep

A1.4.4 Maximum Likelihood and Restricted Maximum Likelihood for Covariance Parameters

A1.5 Statistical Properties

A1.6 Model Selection

A1.6.1 Model Comparisons via Likelihood Ratio Tests

A1.6.2 Model Comparisons via Information Criteria

A1.7 Inference and Test Statistics ...