Copyright © 2012 Pearson Education, Inc. All rights reserved. Chapter 12 The Analysis of Variance for Designed Experiments
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.1 Introduction
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.2 The Logic Behind an Analysis of Variance
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.1 Plots of data for two samples
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.2 Plots of data for two cases
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.3 One-Factor Completely Randomized Designs
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.3 MINITAB Random assignments of workers to training programs
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.4 Layout for a completely randomized design
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.5 SAS regression printout for the completely randomized design in Example 12.4
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.6 Rejection region for Example 12.4; numerator df = 2, denominator df =18, =.05
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.7 Partitioning of SS(Total) for a completely randomized design
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.8 MINITAB ANOVA printout for the completely randomized design, Example 12.5
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Copyright © 2012 Pearson Education, Inc. All rights reserved
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.4 Randomized Block Designs
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.9 General form of a randomized block design (treatment is denoted by T p )
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS regression printout for randomized block design complete model, Example 12.7
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS regression printout for randomized block design reduced model for testing treatments
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS regression printout for randomized block design reduced model for testing blocks
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure Partitioning of the total sum of squares for the randomized block design
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SPSS ANOVA printout for randomized block design
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.5 Two-Factor Factorial Experiments
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure Hypothetical plot of the means for the six machine-material combinations
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure Testing guidelines for a two-factor factorial experiment
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.17a SAS regression printout for complete factorial model
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.17b SAS regression printout for reduced (main effects) factorial model
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure Partitioning of the total sum of squares for a complete two-factor factorial experiment
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.19a SAS ANOVA printout for complete factorial design
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.19b MINITAB plot of profit means illustrating interaction
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS regression printout for complete factorial model with quantitative main effects
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS regression printout for reduced (second-order) factorial model
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS printout of confidence intervals for reduced (second-order) factorial model
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.6 More Complex Factorial Designs (Optional)
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS ANOVA printout for factorial
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SPSS ANOVA printout for Example 12.19
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.7 Follow-Up Analysis: Tukey’s Multiple Comparisons of Means
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.25a SAS printout of Tukey’s multiple comparisons of means, Example 12.20
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.25b MINITAB printout of Tukey’s multiple comparisons of means, Example 12.20
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure 12.25c SPSS printout of Tukey’s multiple comparisons of means, Example 12.20
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS ANOVA printout for Example 12.21
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Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.8 Other Multiple Comparisons Methods (Optional)
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS printout of Scheffe’s multiple comparisons of GPA means, Example 12.22
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure SAS printout of Bonferroni’s multiple comparisons of GPA means, Example 12.23
Copyright © 2012 Pearson Education, Inc. All rights reserved. Section 12.9 Checking ANOVA Assumptions
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Copyright © 2012 Pearson Education, Inc. All rights reserved Figure MINITAB histogram for all the GPAs in the completely randomized design
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure MINITAB normal probability plot and normality test for all the GPAs in the completely randomized design
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure MINITAB dot plots for the GPAs in the completely randomized design, by treatment group
Copyright © 2012 Pearson Education, Inc. All rights reserved Figure MINITAB printout of tests for homogeneity of GPA variances for the completely randomized design