copyright © 2010 pearson addison-wesley. all rights reserved. chapter 13 one-factor experiments:...

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

Chapter 13

One-Factor Experiments: General


Section 13.1

Analysis-of-Variance Technique

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 3

Table 13.1 Absorption of Moisture in Concrete Aggregates


Section 13.2

The Strategy of Experimental Design


Section 13.3

One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)


Table 13.2 k Random Samples


Theorem 13.1


Theorem 13.2


Table 13.3 Analysis of Variance for the One-Way ANOVA


Figure 13.1 SAS output for the analysis-of-variance procedure


Figure 13.2 Box-plots for the absorption of moisture in concrete aggregates


Table 13.4 Serum Alkaline Phosphatase Activity Level


Figure 13.3 MINITAB analysis of data in Table 13.4


Section 13.4

Tests for the Equality of Several Variances


Section 13.5

Single-Degree-of Freedom Comparisons


Definition 13.1


Definition 13.2


Table 13.5 Analysis of Variance Using Orthogonal Contrasts


Section 13.6

Multiple Comparisons


Figure 13.4 A set of orthogonal contrasts


Table 13.6 Yield of Reaction


Figure 13.5 SAS printout for Exercise 13.21


Section 13.9

Graphical Methods and Model Checking


Figure 13.7 Plot of data around the mean for the aggregate data of Table 13.1


Figure 13.8 Plot of residuals for five aggregates, using data in Table 13.1


Figure 13.9 Residual plot for the four machines for the data of Example 13.6


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


Section 13.12

Case Study


Figure 13.12 Interaction plot for data of Case Study 13.1


Figure 13.13 Plot of residuals against method for data of Case Study 13.1


Figure 13.14 Normal probability plot of residuals for data the of Case Study 13.1

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