1. Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 10 Analysis of Variance Comparing More than Two Means

2. Copyright © 2013 Pearson Education, Inc. All rights reserved 10.1 Elements of a Design Study

3. 10 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

4. 10 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

5. 10 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

6. 10 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

7. 10 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8. 10 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

9. 10 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.1 Sampling design: process and terminology

10. 10 - 10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.2 Two-factor golf study: Example 10.2

11. Copyright © 2013 Pearson Education, Inc. All rights reserved 10.2 The Completely Randomized Design: Single Factor

12. 10 - 12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

13. 10 - 13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.3 MINITAB random assignments of consumers to brands

14. 10 - 14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.1

15. 10 - 15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.4 MINITAB descriptive statistics for data in Table 10.1

16. 10 - 16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.5 Dot plot of SAT scores: difference between means dominated by sampling variability

17. 10 - 17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.6 Dot plot of SAT scores: difference between means large relative to sampling variability

18. 10 - 18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.7 MINITAB printout with ANOVA results for data in Table 10.1

19. 10 - 19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.8 Rejection region and calculated F-values for SAT score samples

20. 10 - 20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.2

21. 10 - 21 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.9 MINITAB descriptive statistics and ANOVA results for data in Table 10.2

22. 10 - 22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

23. 10 - 23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

24. 10 - 24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.3

25. 10 - 25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.10 F-test for completely randomized design: golf ball experiment

26. 10 - 26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.11 MINITAB ANOVA for completely randomized design

27. 10 - 27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.4

28. 10 - 28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.5

29. 10 - 29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.12 Partitioning of the total sum of squares for the completely randomized design

30. 10 - 30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.13 MINITAB histograms for golf ball driving distances

31. 10 - 31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.14 SAS box plots for golf ball distances

32. 10 - 32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

33. 10 - 33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

34. 10 - 34 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA10.1 MINITAB one-way ANOVA for deviation from extract trail

35. Copyright © 2013 Pearson Education, Inc. All rights reserved 10.3 Multiple Comparisons of Means

36. 10 - 36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

37. 10 - 37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

38. 10 - 38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

39. 10 - 39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.15 SAS multiple-comparison printout for Example 10.6

40. 10 - 40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.6

41. 10 - 41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.16 Summary of Tukey multiple comparisons

42. 10 - 42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.17 Alternative SAS multiple- comparison output for Example 10.6

43. 10 - 43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

44. 10 - 44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA10.2 MINITAB Multiple Comparisons of Extract Trail Deviation Means

45. 10 - 45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table SIA10.1

46. Copyright © 2013 Pearson Education, Inc. All rights reserved 10.4 The Randomized Block Design

47. 10 - 47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

48. 10 - 48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.7

49. 10 - 49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.18 Partitioning of the total sum of squares for the randomized block design

50. 10 - 50 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.19 MINITAB printout with ANOVA results for the data in Table 10.7

51. 10 - 51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

52. 10 - 52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

53. 10 - 53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.20 Illustration of completely randomized design and randomized block design: comparison of four golf ball brands

54. 10 - 54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.8

55. 10 - 55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.21 SPSS printout for randomized block design ANOVA of data in Table 10.8

56. 10 - 56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.9

57. 10 - 57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.10

58. 10 - 58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.22 SPSS printout of Bonferroni confidence intervals for the randomized block design

59. 10 - 59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.23 Listing of brand means for randomized block design (Note: All differences are statistically significant

60. 10 - 60 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.11

61. 10 - 61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

62. 10 - 62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

63. Copyright © 2013 Pearson Education, Inc. All rights reserved 10.5 Factorial Experiments: Two Factors

64. 10 - 64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

65. 10 - 65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.12

66. 10 - 66 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.24 Illustration of possible treatment effects: factorial experiment

67. 10 - 67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.25 Partitioning the total sum of squares for a two-factor factorial

68. 10 - 68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure Continued on next slide

69. 10 - 69 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

70. 10 - 70 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

71. 10 - 71 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure (cont’d)

72. 10 - 72 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

73. 10 - 73 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.13

74. 10 - 74 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.26 SAS printout for factorial ANOVA of golf data

75. 10 - 75 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.27 SAS printout of Tukey rankings of golf ball brand means for each club

76. 10 - 76 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.27 SAS printout of Tukey rankings of golf ball brand means for each club (cont’d)

77. 10 - 77 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.28 SPSS means plot for factorial golf ball experiment

78. 10 - 78 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.14

79. 10 - 79 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.15

80. 10 - 80 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 10.16

81. 10 - 81 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.29 SPSS printout of second factorial ANOVA

82. 10 - 82 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.30 SPSS printout of Tukey rankings of brand means

83. 10 - 83 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.31 Summary of Tukey Rankings of Brand Means

84. 10 - 84 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 10.32 MINITAB means plot for second factorial golf ball experiment

85. 10 - 85 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA10.3 Layout of experimental design for cockroach study

86. 10 - 86 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA10.4 MINITAB two-way ANOVA for extract trail deviation

87. 10 - 87 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA10.5 SAS Bonaferroni rankings of group means and trail means