copyright © 2013 pearson education, inc. all rights reserved chapter 10 analysis of variance...
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Copyright © 2013 Pearson Education, Inc. All rights reserved
Chapter 10
Analysis of VarianceComparing More than Two
Means
Copyright © 2013 Pearson Education, Inc. All rights reserved
10.1
Elements of a Design Study
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Definition
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Definition
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Definition
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Definition
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Definition
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Definition
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Figure 10.1 Sampling design: process and terminology
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Figure 10.2 Two-factor golf study: Example 10.2
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10.2
The Completely Randomized Design: Single Factor
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Definition
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Figure 10.3 MINITAB random assignments of consumers to brands
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Table 10.1
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Figure 10.4 MINITAB descriptive statistics for data in Table 10.1
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Figure 10.5 Dot plot of SAT scores: difference between means dominated by sampling variability
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Figure 10.6 Dot plot of SAT scores: difference between means large relative to sampling variability
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Figure 10.7 MINITAB printout with ANOVA results for data in Table 10.1
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Figure 10.8 Rejection region and calculated F-values for SAT score samples
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Table 10.2
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Figure 10.9 MINITAB descriptive statistics and ANOVA results for data in Table 10.2
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Procedure
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Definition
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Table 10.3
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Figure 10.10 F-test for completely randomized design: golf ball experiment
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Figure 10.11 MINITAB ANOVA for completely randomized design
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Table 10.4
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Table 10.5
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Figure 10.12 Partitioning of the total sum of squares for the completely randomized design
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Figure 10.13 MINITAB histograms for golf ball driving distances
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Figure 10.14 SAS box plots for golf ball distances
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Procedure
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Procedure
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Figure SIA10.1 MINITAB one-way ANOVA for deviation from extract trail
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10.3
Multiple Comparisons of Means
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Procedure
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Definition
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Definition
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Figure 10.15 SAS multiple-comparison printout for Example 10.6
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Table 10.6
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Figure 10.16 Summary of Tukey multiple comparisons
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Figure 10.17 Alternative SAS multiple-comparison output for Example 10.6
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Procedure
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Figure SIA10.2 MINITAB Multiple Comparisons of Extract Trail Deviation Means
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Table SIA10.1
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10.4
The Randomized Block Design
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Procedure
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Table 10.7
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Figure 10.18 Partitioning of the total sum of squares for the randomized block design
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Figure 10.19 MINITAB printout with ANOVA results for the data in Table 10.7
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Procedure
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Definition
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Figure 10.20 Illustration of completely randomized design and randomized block design: comparison of four golf ball brands
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Table 10.8
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Figure 10.21 SPSS printout for randomized block design ANOVA of data in Table 10.8
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Table 10.9
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Table 10.10
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Figure 10.22 SPSS printout of Bonferroni confidence intervals for the randomized block design
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Figure 10.23 Listing of brand means for randomized block design (Note: All differences are statistically significant
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Table 10.11
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Procedure
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Procedure
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10.5
Factorial Experiments: Two Factors
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Definition
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Table 10.12
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Figure 10.24 Illustration of possible treatment effects: factorial experiment
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Figure 10.25 Partitioning the total sum of squares for a two-factor factorial
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Procedure
Continued on next slide
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Procedure (cont’d)
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Procedure
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Procedure (cont’d)
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Definition
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Table 10.13
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Figure 10.26 SAS printout for factorial ANOVA of golf data
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Figure 10.27 SAS printout of Tukey rankings of golf ball brand means for each club
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Figure 10.27 SAS printout of Tukey rankings of golf ball brand means for each club (cont’d)
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Figure 10.28 SPSS means plot for factorial golf ball experiment
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Table 10.14
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Table 10.15
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Table 10.16
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Figure 10.29 SPSS printout of second factorial ANOVA
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Figure 10.30 SPSS printout of Tukey rankings of brand means
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Figure 10.31 Summary of Tukey Rankings of Brand Means
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Figure 10.32 MINITAB means plot for second factorial golf ball experiment
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Figure SIA10.3 Layout of experimental design for cockroach study
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Figure SIA10.4 MINITAB two-way ANOVA for extract trail deviation
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Figure SIA10.5 SAS Bonaferroni rankings of group means and trail means
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