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Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

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 13.9

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 13.11 Residuals plotted against fitted values for the data of Example 13.6

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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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