Chapter 14 Factorial Experiments (Two or More Factors) Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 14.1 Introduction Copyright © 2010 Pearson Addison-Wesley All rights reserved Section 14.2 Interaction in the Two-Factor Experiment Copyright © 2010 Pearson Addison-Wesley All rights reserved Figure 14.1 Interaction plot for temperature-drying time data Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - Section 14.3 Two-Factor Analysis of Variance Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 14.1 Two-Factor Experiment with n Replications Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - Theorem 14.1 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - Table 14.2 Analysis of Variance for the Two-Factor Experiment with n Replications Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - Table 14.3 Propellant Burning Rates Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - Table 14.4 Analysis of Variance for the Data of Table 14.3 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 10 Table 14.9 ANOVA for a Three-Factor Experiment in a Completely Randomized Design Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 21 Table 14.10 Two-Way Table of Means for Example 14.4 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 22 Table 14.11 ANOVA with Factor A Noninteracting Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 23 Table 14.12 ANOVA for a Two-Factor Experiment in a Randomized Block Design Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 24 Table 14.13 Data for Example 14.5 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 25 Figure 14.7 ANOVA for Example 14.5, batch interaction pooled with error Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 26 Figure 14.8 Interaction plots for Example 14.5 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 27 Section 14.5 Factorial Experiments for Random Effects and Mixed Models Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 14.14 Expected Mean Squares for a Two-Factor Random Effects Experiment Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 29 Table 14.15 Expected Mean Squares for a Three-Factor Random Effects Experiment Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 30 Table 14.16 Data for Example 14.6 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 31 Table 14.17 Analysis of Variance for Example 14.6 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 32 Table 14.18 Expected Mean Squares for a Two-Factor Mixed Model Experiments Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 33 Table 14.19 Expected Mean Squares for Mixed Model Factorial Experiments in Three Factors Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 34 Section 14.16 Potential Misconceptions and Hazards; Relationship to Material in Other Chapters Copyright © 2010 Pearson Addison-Wesley All rights reserved ... AddisonWesley All rights reserved 14 - 14 Table 14. 6 Data for Example 14. 3 Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 15 Figure 14. 5 SAS printout for Exercise 14. 3 Copyright © 2010 Pearson... reserved 14 - 25 Figure 14. 7 ANOVA for Example 14. 5, batch interaction pooled with error Copyright © 2010 Pearson AddisonWesley All rights reserved 14 - 26 Figure 14. 8 Interaction plots for Example 14. 5... reserved 14 - 27 Section 14. 5 Factorial Experiments for Random Effects and Mixed Models Copyright © 2010 Pearson Addison-Wesley All rights reserved Table 14. 14 Expected Mean Squares for a Two-Factor