Transcript Factorial Experiments (Two or More Factors)

Chapter 14
Factorial
Experiments
(Two or More
Factors)
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Section 14.1
Introduction
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Section 14.2
Interaction in the
Two-Factor
Experiment
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Figure 14.1 Interaction plot for
temperature-drying time data
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Section 14.3
Two-Factor
Analysis of
Variance
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Table 14.1 Two-Factor
Experiment with n Replications
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Theorem 14.1
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Table 14.2 Analysis of Variance for the
Two-Factor Experiment with n
Replications
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Table 14.3 Propellant Burning
Rates
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Table 14.4 Analysis of Variance
for the Data of Table 14.3
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Table 14.5 Interpretation of
Interaction
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Figure 14.2 SAS printout of the analysis
of the propellant rate data of Table 14.3
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Figure 14.3 Plot of cell means for data of
Example 14.1. Numbers represent missile
systems
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Figure 14.4 Residual plot of data
of Example 14.1
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Table 14.6 Data for Example 14.3
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Figure 14.5 SAS printout for
Exercise 14.3
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Figure 14.6 SAS output, for Example
14.3. (a) Duncan’s test on gas flow rate;
(b) Duncan’s test on power
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Section 14.4
Three-Factor
Experiments
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Table 14.7 ANOVA for the ThreeFactor Experiment with n Replications
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Table 14.8 Data for Example 14.4
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Table 14.9 ANOVA for a Three-Factor
Experiment in a Completely Randomized
Design
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Table 14.10 Two-Way Table of
Means for Example 14.4
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Table 14.11 ANOVA with Factor A
Noninteracting
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Table 14.12 ANOVA for a Two-Factor
Experiment in a Randomized Block
Design
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Table 14.13 Data for Example
14.5
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Figure 14.7 ANOVA for Example 14.5,
batch interaction pooled with error
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Figure 14.8 Interaction plots for
Example 14.5
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Section 14.5
Factorial
Experiments for
Random Effects
and Mixed
Models
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Table 14.14 Expected Mean Squares for
a Two-Factor Random Effects Experiment
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Table 14.15 Expected Mean Squares for
a Three-Factor Random Effects
Experiment
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Table 14.16 Data for Example 14.6
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Table 14.17 Analysis of Variance for
Example 14.6
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Table 14.18 Expected Mean Squares for
a Two-Factor Mixed Model Experiments
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Table 14.19 Expected Mean Squares for
Mixed Model Factorial Experiments in
Three Factors
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Section 14.16
Potential
Misconceptions
and Hazards;
Relationship to
Material in Other
Chapters
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