1. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 13 One-Factor Experiments: General

2. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.1 Analysis-of- Variance Technique

3. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 3 Table 13.1 Absorption of Moisture in Concrete Aggregates

4. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.2 The Strategy of Experimental Design

5. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.3 One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)

6. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 6 Table 13.2 k Random Samples

7. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 7 Theorem 13.1

8. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 8 Theorem 13.2

9. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 9 Table 13.3 Analysis of Variance for the One-Way ANOVA

10. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 10 Figure 13.1 SAS output for the analysis-of-variance procedure

11. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 11 Figure 13.2 Box-plots for the absorption of moisture in concrete aggregates

12. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 12 Table 13.4 Serum Alkaline Phosphatase Activity Level

13. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 13 Figure 13.3 MINITAB analysis of data in Table 13.4

14. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.4 Tests for the Equality of Several Variances

15. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.5 Single-Degree-of Freedom Comparisons

16. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 16 Definition 13.1

17. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 17 Definition 13.2

18. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 18 Table 13.5 Analysis of Variance Using Orthogonal Contrasts

19. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.6 Multiple Comparisons

20. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 20 Figure 13.4 A set of orthogonal contrasts

21. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 21 Table 13.6 Yield of Reaction

22. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 22 Figure 13.5 SAS printout for Exercise 13.21

23. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.9 Graphical Methods and Model Checking

24. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 24 Figure 13.7 Plot of data around the mean for the aggregate data of Table 13.1

25. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 25 Figure 13.8 Plot of residuals for five aggregates, using data in Table 13.1

26. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 26 Figure 13.9 Residual plot for the four machines for the data of Example 13.6

27. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 27 Figure 13.11 Residuals plotted against fitted values for the data of Example 13.6

28. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 13.12 Case Study

29. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 29 Figure 13.12 Interaction plot for data of Case Study 13.1

30. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 30 Figure 13.13 Plot of residuals against method for data of Case Study 13.1

31. Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 13 - 31 Figure 13.14 Normal probability plot of residuals for data the of Case Study 13.1