Get SAS for Mixed Models now with O’Reilly online learning.
O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.
Appendix A: Linear Mixed Model Theory
A.1 Introduction. 543
A.2 Matrix Notation. 543
A.3 Formulation of the Mixed Model 544
A.3.1 The General Linear Mixed Model 544
A.3.2 Conditional and Marginal Distributions. 545
A.3.3 Example: Growth Curve with Compound Symmetry. 545
A.3.4 Example: Split-Plot Design. 547
A.4 Estimating Parameters, Predicting Random Effects. 549
A.4.1 Estimating β and Predicting u: The Mixed Model Equations. 550
A.4.2 Random Effects, Ridging, and Shrinking. 551
A.4.3 Use of the Sweep Operation for Solutions. 551
A.4.4 Maximum Likelihood and Restricted Maximum Likelihood for Covariance Parameters. 553
A.5 Statistical Properties. 557
A.6 Model Selection. 558
A.6.1 Model Comparisons via Likelihood Ratio Tests. 558
A.6.2 Model ...