Chapter 7. Analysis of Covariance

7.1

Introduction

244

7.2

One-Way Fixed Effects Treatment Structure with Simple Linear Regression Models

245

 

7.2.1

Comparing the Regression Models

247

 

7.2.2

Summary of an Analysis of Covariance Strategy

250

 

7.2.3

Extensions to More Complex Regression Models

250

7.3

Example: One-Way Treatment Structure in a Randomized Complete Block Design Structure—Equal Slopes Model

251

 

7.3.1

Step 1: Fit the Model to Test the Slopes-Equal-to-Zero Hypothesis

251

 

7.3.2

Step 2: Determine If a Common Slope Model Is Adequate to Describe the Data

253

 

7.3.3

Step 3: Fit a Common Slope Model

255

 

7.3.4

Mixed Model Estimator: A Combined Estimator

258

7.4

Example: One-Way Treatment Structure in an Incomplete Block Design Structure—Time to Boil Water

263

 

7.4.1

Step ...

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