Chapter 15 2k Factorial Experiments and Fractions Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 15.1 Introduction Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 15.2 The 2k Factorial: Calculation of Effects and Analysis of Variance Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 15.1 A 22 Factorial Experiment Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Figure 15.1 Response suggesting apparent interaction Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Table 15.2 22 Factorial with No Interaction Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Table 15.3 22 Factorial with Interaction Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Figure 15.2 Interaction plot for data of Table 15.2 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Figure 15.3 Interaction plot for data of Table15.3 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Table 15.4 Signs for Contrasts in a 22 Factorial Experiments Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 10 Figure 15.16 Central composite design for Example 15.8 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 49 Figure 15.17 Plot for the response surface prediction conversion for Example 15.8 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 50 Figure 15.18 Contour plot of predicted conversion for Example 15.8 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 51 Section 15.12 Robust Parameter Design Copyright © 2010 Pearson Addison-Wesley All rights reserved Definition 15.2 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 53 Table 15.18 Design for Example 15.9 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 54 Table 15.19 Control Factors for Case Study 15.3 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 55 Table 15.20 Noise Factors for Case Study 15.3 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 56 Table 15.21 Crossed Arrays and Response Values for Case Study 15.3 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 57 Figure 15.19 Plot showing the influence of factors on the mean response Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 58 Figure 15.20 Mean and standard deviation for Case Study 15.4 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 59 Table 15.22 Experimental Data in a Crossed Array Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 60 Figure 15.21 Interaction plots for the data in Table 15.22 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 61 Figure 15.22 Interaction plots for the data in Exercise 15.31 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 62 Section 15.13 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters Copyright © 2010 Pearson Addison-Wesley All rights reserved ... rights reserved 15 - Figure 15. 2 Interaction plot for data of Table 15. 2 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - Figure 15. 3 Interaction plot for data of Table15.3 Copyright... rights reserved 15 - 17 Figure 15. 7 SAS printout for data of Case Study 15. 1 Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 18 Figure 15. 8 ANOVA table for Exercise 15. 3 Copyright... rights reserved 15 - 15 Table 15. 7 Illustration of TwoFactor Interaction Copyright © 2010 Pearson AddisonWesley All rights reserved 15 - 16 Figure 15. 6 Interaction plot for Case Study 15. 1 Copyright