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

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Presentation on theme: "Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 14 Factorial Experiments (Two or More Factors)"— Presentation transcript:

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

2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 14.2 Interaction in the Two-Factor Experiment

3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 3 Figure 14.1 Interaction plot for temperature-drying time data

4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 14.3 Two-Factor Analysis of Variance

5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 5 Table 14.1 Two-Factor Experiment with n Replications

6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 6 Theorem 14.1

7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 7 Table 14.2 Analysis of Variance for the Two-Factor Experiment with n Replications

8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 8 Table 14.3 Propellant Burning Rates

9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 9 Table 14.4 Analysis of Variance for the Data of Table 14.3

10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 10 Table 14.5 Interpretation of Interaction

11 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

12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 12 Figure 14.4 Residual plot of data of Example 14.1

13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 13 Table 14.6 Data for Example 14.3

14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 14 Figure 14.5 SAS printout for Exercise 14.3

15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 14.4 Three-Factor Experiments

16 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 16 Table 14.7 ANOVA for the Three- Factor Experiment with n Replications

17 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 17 Table 14.8 Data for Example 14.4

18 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 18 Table 14.9 ANOVA for a Three-Factor Experiment in a Completely Randomized Design

19 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 19 Table 14.10 Two-Way Table of Means for Example 14.4

20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 20 Table 14.11 ANOVA with Factor A Noninteracting

21 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 21 Table 14.12 ANOVA for a Two-Factor Experiment in a Randomized Block Design

22 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 22 Table 14.13 Data for Example 14.5

23 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 23 Figure 14.7 ANOVA for Example 14.5, batch interaction pooled with error

24 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 24 Figure 14.8 Interaction plots for Example 14.5


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