SAS for Mixed Models

Chapter 5: Design Structure II: Models with Multiple Random Effects

5.1 Introduction. 131

5.2 Treatment and Experiment Structure and Associated Models. 132

5.2.1 Essential Terminology: Components of Treatment and Design Structure. 132

5.2.2 Possible Design Structures for 2 × 2 Factorial Treatment Design. 132

5.2.3 A Final Note on the Design Structures. 143

5.2.4 Determination of the Appropriate Mixed Model for a Given Layout 143

5.3 Inference with Factorial Treatment Designs with Various Mixed Models. 146

5.3.1 Standard Errors. 146

5.3.2 Variance of Treatment Mean and Difference Estimates. 147

5.3.3 Completing the Standard Error: Variance Component Estimates and Degrees of Freedom... 149

5.4 A Split-Plot Semiconductor Experiment: An Example