copyright © 2010 pearson addison-wesley. all rights reserved. chapter 13 one-factor experiments:...
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Chapter 13
One-Factor Experiments: General
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Section 13.1
Analysis-of-Variance Technique
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Table 13.1 Absorption of Moisture in Concrete Aggregates
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Section 13.2
The Strategy of Experimental Design
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Section 13.3
One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)
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Table 13.2 k Random Samples
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Theorem 13.1
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Theorem 13.2
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Table 13.3 Analysis of Variance for the One-Way ANOVA
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Figure 13.1 SAS output for the analysis-of-variance procedure
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Figure 13.2 Box-plots for the absorption of moisture in concrete aggregates
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Table 13.4 Serum Alkaline Phosphatase Activity Level
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Figure 13.3 MINITAB analysis of data in Table 13.4
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Section 13.4
Tests for the Equality of Several Variances
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Section 13.5
Single-Degree-of Freedom Comparisons
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Definition 13.1
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Definition 13.2
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Table 13.5 Analysis of Variance Using Orthogonal Contrasts
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Section 13.6
Multiple Comparisons
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Figure 13.4 A set of orthogonal contrasts
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Table 13.6 Yield of Reaction
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Figure 13.5 SAS printout for Exercise 13.21
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Section 13.7
Comparing a Set of Treatments in Blocks
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Section 13.8
Randomized Complete Block Designs
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Table 13.7 k b Array for the RCB Design
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Theorem 13.3
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Table 13.8 Analysis of Variance for the Randomized Complete Block Design
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Table 13.9 Time, in Seconds, to Assemble Product
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Table 13.10 Analysis of Variances for the Data of Table 13.9
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Figure 13.6 Population means for (a) additive results and (b) interacting effects
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Section 13.9
Graphical Methods and Model Checking
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Figure 13.7 Plot of data around the mean for the aggregate data of Table 13.1
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Figure 13.8 Plot of residuals for five aggregates, using data in Table 13.1
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Figure 13.9 Residual plot for the four machines for the data of Example 13.6
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Figure 13.10 Residual plot for the six operators for the data of Example 13.6
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Figure 13.11 Residuals plotted against fitted values for the data of Example 13.6
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Section 13.10
Data Transformations in Analysis of Variance
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Section 13.11
Random Effects
Models
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Theorem 13.4
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Table 13.11 Expected Mean Squares for the One-Factor Experiment
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Table 13.12 Data for Example 13.7
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Table 13.13 Analysis of Variance for Example 13.7
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Table 13.14 Expected Mean Squares for the Randomized Complete Block Design
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Section 13.12
Case Study
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Figure 13.12 Interaction plot for data of Case Study 13.1
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Figure 13.13 Plot of residuals against method for data of Case Study 13.1
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Figure 13.14 Normal probability plot of residuals for data the of Case Study 13.1
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Figure 13.15 SAS printout for data of Case Study 13.1
continued on next slide
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Figure 13.15 SAS printout for data of Case Study 13.1 (cont’d)
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Figure 13.16 SAS printout for Review Exercise 13.49
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Figure 13.17 SAS printout for Review Exercise 13.50
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Potential Misconceptions and Hazards; Relationship to Material in Other Chapters
Section 13.13