copyright © 2010 pearson addison-wesley. all rights reserved. chapter 14 factorial experiments (two...

Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Chapter 14

Factorial Experiments (Two or More Factors)


Section 14.1

Introduction


Section 14.2

Interaction in the Two-Factor Experiment

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 4

Figure 14.1 Interaction plot for temperature-drying time data


Section 14.3

Two-Factor Analysis of Variance


Table 14.1 Two-Factor Experiment with n Replications


Theorem 14.1


Table 14.2 Analysis of Variance for the Two-Factor Experiment with n Replications


Table 14.3 Propellant Burning Rates


Table 14.4 Analysis of Variance for the Data of Table 14.3


Table 14.5 Interpretation of Interaction


Figure 14.2 SAS printout of the analysis of the propellant rate data of Table 14.3


Figure 14.3 Plot of cell means for data of Example 14.1. Numbers represent missile systems


Figure 14.4 Residual plot of data of Example 14.1


Table 14.6 Data for Example 14.3


Figure 14.5 SAS printout for Exercise 14.3


Figure 14.6 SAS output, for Example 14.3. (a) Duncan’s test on gas flow rate; (b) Duncan’s test on power


Section 14.4

Three-Factor Experiments


Table 14.7 ANOVA for the Three-Factor Experiment with n Replications


Table 14.9 ANOVA for a Three-Factor Experiment in a Completely Randomized Design


Table 14.10 Two-Way Table of Means for Example 14.4


Table 14.11 ANOVA with Factor A Noninteracting


Table 14.12 ANOVA for a Two-Factor Experiment in a Randomized Block Design


Figure 14.7 ANOVA for Example 14.5, batch interaction pooled with error


Figure 14.8 Interaction plots for Example 14.5


Section 14.5

Factorial Experiments for Random Effects and Mixed Models


Table 14.14 Expected Mean Squares for a Two-Factor Random Effects Experiment


Table 14.15 Expected Mean Squares for a Three-Factor Random Effects Experiment


Table 14.17 Analysis of Variance for Example 14.6


Table 14.18 Expected Mean Squares for a Two-Factor Mixed Model Experiments


Table 14.19 Expected Mean Squares for Mixed Model Factorial Experiments in Three Factors


Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

Section 14.16

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