1. Chapter 15 – Analysis of Variance
Statistics for Management and Economics-Sixth Edition Gerald Keller – Brian Warrack
Chapter 15 – Analysis of Variance

2. Figure 15.1 Sampling scheme for independent samples
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Figure Sampling scheme for independent samples

3. Figure 15.2 Sampling distribution for Example 15.1
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Figure Sampling distribution for Example 15.1

4. Excel Anova: Single Factor
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Excel Anova: Single Factor

5. Minitab One-way ANOVA: Convenience, Quality, Price
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Minitab One-way ANOVA: Convenience, Quality, Price

6. Figure 15.3 Histogram of sales, city 1 (convenience)
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Figure Histogram of sales, city 1 (convenience)
Figure Histogram of sales, city 2 (quality)
Figure Histogram of sales, city 3 (price)

7. Excel Analysis of Variance Output for Example 13.2
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Excel Analysis of Variance Output for Example 13.2

8. Excel Anova: Two-Factor Without Replication
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Excel Anova: Two-Factor Without Replication

9. Minitab Two-Way ANOVA: Reduction versus Group, Drug
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Minitab Two-Way ANOVA: Reduction versus Group, Drug

10. Excel Anova: Single Factor, City 1 Through City 6
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Excel Anova: Single Factor, City 1 Through City 6

11. Minitab One-Way ANOVA: City-1, City-2, City-3, City-4, City-5, City-6
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Minitab One-Way ANOVA: City-1, City-2, City-3, City-4, City-5, City-6

12. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Figure Differences between the levels of factor A and differences betwe3en the levels of factor B; no interaction

13. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Figure Differences between the levels of factor A and no difference between the levels of factor B; no interaction

14. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Figure No differences between the levels of factor A and differences between the levels of factor B; no interaction

15. Figure 15.7 Interaction between factors A and B
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Figure Interaction between factors A and B

16. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Figure Partitioning SS(Total) in single-factor and two-factor analyses of variance

17. Applet 17: Plots of two-way Anova Effects
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Applet 17: Plots of two-way Anova Effects

18. Excel Anova: two-Factor With Replication
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Excel Anova: two-Factor With Replication

19. Minitab two-way ANOVA: Sales versus Strategy, Medium
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Minitab two-way ANOVA: Sales versus Strategy, Medium

20. Figure 15.9 Mean responses for factors A and B: Example 15.3
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Figure Mean responses for factors A and B: Example 15.3

21. Figure 15.10 Proportion of conforming and nonconforming piston rings
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Figure Proportion of conforming and nonconforming piston rings

22. Figure 15.11 Taguchi loss function
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Figure Taguchi loss function

23. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Figure Taguchi loss function and the distribution of piston rings

24. Excel Causes of Variation: Solution
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Excel Causes of Variation: Solution

25. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Minitab Two-Way ANOVA: Length versus Operator, Machine – Causes of variation: Solution

26. Excel Tukey’s and Fisher’s LSD Method (α = .05)
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Excel Tukey’s and Fisher’s LSD Method (α = .05)

27. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Excel Tukey and Fisher’s LSD with the Bonferroni adjustment (α = .05/3 =.0167)

28. Minitab (a) One-Way ANOVA: Convenience, Quality, Price
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Minitab (a) One-Way ANOVA: Convenience, Quality, Price

29. ©2003 Brooks/Cole, a division of Thomson Learning, Inc
©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license.
Minitab (b) One-Way ANOVA: Convenience, Quality, Price – Comparisons between Tukey’s and Fisher