Chapter 4. Multi-factor Treatment Designs with Multiple Error Terms

4.1

Introduction

94

4.2

Treatment and Experiment Structure and Associated Models

94

 

4.2.1

Possible Layouts of Factorial and Split-Plot Experiments

95

 

4.2.2

Determining the Appropriate Mixed Model for a Given Layout

99

4.3

Inference with Mixed Models for Factorial Treatment Designs

102

 

4.3.1

Effects of Interest in Factorial Treatment Designs

102

 

4.3.2

More on Effects of Interest—Estimability and Use of ESTIMATE, CONTRAST, and LSMEANS Statements

104

 

4.3.3

Standard Errors

106

4.4

Example: A Split-Plot Semiconductor Experiment

113

 

4.4.1

Tests of Interest in the Semiconductor Experiment

113

 

4.4.2

Matrix Generalization of Mixed Model F-tests

115

 

4.4.3

PROC MIXED Analysis of Semiconductor Data

117

 

4.4.4

Alternative ...

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