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13-1 DESIGNING ENGINEERING

EXPERIMENTS

13-2 THE COMPLETELY RANDOMIZED

SINGLE-FACTOR EXPERIMENT

13-2.1 An Example

13-2.2 The Analysis of Variance

13-2.3 Multiple Comparisons Following

the ANOVA

13-2.4 More About Multiple

Comparisons (CD Only)

13-2.5 Residual Analysis and Model

Checking

13-2.6 Determining Sample Size

13-2.7 Technical Details About the

Analysis of Variance (CD Only)

13-3 THE RANDOM EFFECTS MODEL

13-3.1 Fixed Versus Random Factors

13-3.2 ANOVA and Variance

Components

13-3.3 Determining Sample Size in the

Random Model (CD Only)

13-4 RANDOMIZED COMPLETE BLOCK

DESIGN

13-4.1 Design and Statistical Analysis

13-4.2 Multiple Comparisons

13-4.3 Residual Analysis and Model

Checking

13-4.4 Randomized Complete Block

Design with Random Factors

(CD Only)

13

CHAPTER OUTLINE

LEARNING OBJECTIVES

After careful study of this chapter, you should be able to do the following:

1. Design and conduct engineering experiments involving a single factor with an arbitrary number
   of levels


2. Understand how the analysis of variance is used to analyze the data from these experiments


3. Assess model adequacy with residual plots


4. Use multiple comparison procedures to identify specific differences between means


5. Make decisions about sample size in single-factor experiments


6. Understand the difference between fixed and random factors


7. Estimate variance components in an experiment involving random factors

Design and Analysis

of Single-Factor

Experiments: The

Analysis of Variance

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