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Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 15 2 k Factorial Experiments and Fractions.

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Presentation on theme: "Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 15 2 k Factorial Experiments and Fractions."— Presentation transcript:

1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Chapter 15 2 k Factorial Experiments and Fractions

2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 15.2 The 2 k Factorial: Calculation of Effects and Analysis of Variance

3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.1 A 2 2 Factorial Experiment

4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.1 Response suggesting apparent interaction

5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Factorial with No Interaction

6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table Factorial with Interaction

7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.2 Interaction plot for data of Table 15.2

8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.3 Interaction plot for data of Table15.3

9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.4 Signs for Contrasts in a 2 2 Factorial Experiments

10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.5 Signs for Contrasts in a 2 3 Factorial Experiment

11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.4 Geometric view of 2 3

12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 15.3 Nonreplicated 2 k Factorial Experiment

13 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.6 Data for Case Study 15.1

14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.5 Normal quantile-quantile plot of effects for Case Study 15.1

15 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.7 Illustration of Two- Factor Interaction

16 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.6 Interaction plot for Case Study 15.1

17 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.7 SAS printout for data of Case Study 15.1

18 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.8 ANOVA table for Exercise 15.3

19 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 15.4 Factorial Experiments in a Regression Setting

20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Table 15.8 Data for Example 15.2

21 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.9 SAS printout for data of Case Study 15.2 continued on next slide

22 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.9 SAS printout for data of Case Study 15.2 (cont’d)

23 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. Section 15.5 The Orthogonal Design

24 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.10a Geometric presentation of contrast for the 23 factorial design continued on next slide

25 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.10b Geometric presentation of contrast for the 23 factorial design (cont’d) continued on next slide

26 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure 15.10c Geometric presentation of contrast for the 23 factorial design (cont’d)

27 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure A 2 2 design with center runs

28 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure factorial with 5 center runs

29 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure factorial with runs at (0,0)

30 Copyright © 2010 Pearson Addison-Wesley. All rights reserved Figure Graph Exercise 15.17


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