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

Figure 15.1 Sampling scheme for independent samples ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.1 Sampling scheme for independent samples

Figure 15.2 Sampling distribution for Example 15.1 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.2 Sampling distribution for Example 15.1

Excel Anova: Single Factor ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Anova: Single Factor

Minitab 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 One-way ANOVA: Convenience, Quality, Price

Figure 15.3 Histogram of sales, city 1 (convenience) ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.3 Histogram of sales, city 1 (convenience) Figure 15.3 Histogram of sales, city 2 (quality) Figure 15.3 Histogram of sales, city 3 (price)

Excel Analysis of Variance Output for Example 13.2 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Analysis of Variance Output for Example 13.2

Excel Anova: Two-Factor Without Replication ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Anova: Two-Factor Without Replication

Minitab Two-Way ANOVA: Reduction versus Group, Drug ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Minitab Two-Way ANOVA: Reduction versus Group, Drug

Excel Anova: Single Factor, City 1 Through City 6 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Anova: Single Factor, City 1 Through City 6

Minitab One-Way ANOVA: City-1, City-2, City-3, City-4, City-5, City-6 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Minitab One-Way ANOVA: City-1, City-2, City-3, City-4, City-5, City-6

©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 15.4 Differences between the levels of factor A and differences betwe3en the levels of factor B; no interaction

©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 15.5 Differences between the levels of factor A and no difference between the levels of factor B; no interaction

©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 15.6 No differences between the levels of factor A and differences between the levels of factor B; no interaction

Figure 15.7 Interaction between factors A and B ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.7 Interaction between factors A and B

©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 15.8 Partitioning SS(Total) in single-factor and two-factor analyses of variance

Applet 17: Plots of two-way Anova Effects ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Applet 17: Plots of two-way Anova Effects

Excel Anova: two-Factor With Replication ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Anova: two-Factor With Replication

Minitab two-way ANOVA: Sales versus Strategy, Medium ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Minitab two-way ANOVA: Sales versus Strategy, Medium

Figure 15.9 Mean responses for factors A and B: Example 15.3 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.9 Mean responses for factors A and B: Example 15.3

Figure 15.10 Proportion of conforming and nonconforming piston rings ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.10 Proportion of conforming and nonconforming piston rings

Figure 15.11 Taguchi loss function ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure 15.11 Taguchi loss function

©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 15.12 Taguchi loss function and the distribution of piston rings

Excel Causes of Variation: Solution ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Excel Causes of Variation: Solution

©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

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

©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)

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

©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