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

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Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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Page 1: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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

Chapter 14

Factorial Experiments (Two or More Factors)

Page 2: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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

Section 14.2

Interaction in the Two-Factor Experiment

Page 3: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 3

Figure 14.1 Interaction plot for temperature-drying time data

Page 4: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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

Section 14.3

Two-Factor Analysis of Variance

Page 5: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 5

Table 14.1 Two-Factor Experiment with n Replications

Page 6: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 6

Theorem 14.1

Page 7: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 7

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

Page 8: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 8

Table 14.3 Propellant Burning Rates

Page 9: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 9

Table 14.4 Analysis of Variance for the Data of Table 14.3

Page 10: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 10

Table 14.5 Interpretation of Interaction

Page 11: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 11

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

Page 12: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 12

Figure 14.4 Residual plot of data of Example 14.1

Page 13: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 13

Table 14.6 Data for Example 14.3

Page 14: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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

Figure 14.5 SAS printout for Exercise 14.3

Page 15: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

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

Section 14.4

Three-Factor Experiments

Page 16: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 16

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

Page 17: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 17

Table 14.8 Data for Example 14.4

Page 18: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 18

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

Page 19: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 19

Table 14.10 Two-Way Table of Means for Example 14.4

Page 20: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 20

Table 14.11 ANOVA with Factor A Noninteracting

Page 21: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 21

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

Page 22: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 22

Table 14.13 Data for Example 14.5

Page 23: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 23

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

Page 24: Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)

Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 24

Figure 14.8 Interaction plots for Example 14.5