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