Probability statistics for engineers and scientists 9th by walpole myers chapter 15
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Chapter 15
2k Factorial
Experiments
and Fractions
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Section 15.1
Introduction
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Section 15.2
The 2k Factorial:
Calculation of
Effects and
Analysis of
Variance
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Table 15.1 A 22 Factorial
Experiment
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Figure 15.1 Response suggesting
apparent interaction
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Table 15.2 22 Factorial with No
Interaction
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Table 15.3 22 Factorial with
Interaction
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Figure 15.2 Interaction plot for
data of Table 15.2
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Figure 15.3 Interaction plot for
data of Table15.3
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Table 15.4 Signs for Contrasts in
a 22 Factorial Experiments
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Table 15.5 Signs for Contrasts in
a 23 Factorial Experiment
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Figure 15.4 Geometric view of 23
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Section 15.3
Nonreplicated 2k
Factorial
Experiment
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Table 15.6 Data for Case Study
15.1
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Figure 15.5 Normal quantile-quantile
plot of effects for Case Study 15.1
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Table 15.7 Illustration of TwoFactor Interaction
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Figure 15.6 Interaction plot for
Case Study 15.1
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Figure 15.7 SAS printout for data of
Case Study 15.1
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Figure 15.8 ANOVA table for
Exercise 15.3
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Section 15.4
Factorial
Experiments in a
Regression
Setting
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Table 15.8 Data for Example 15.2
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Figure 15.9 SAS printout for data
of Case Study 15.2
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continued on next slide15 - 22
Figure 15.9 SAS printout for data
of Case Study 15.2 (cont’d)
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Section 15.5
The Orthogonal
Design
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Figure 15.10a Geometric presentation
of contrast for the 23 factorial design
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