Chapter 14 Factorial Experiments Two or More Factors

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

Figure 14. 1 Interaction plot for temperature-drying time data Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 3

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 Addison-Wesley. All rights reserved. 14 - 5

Theorem 14. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 6

Table 14. 2 Analysis of Variance for the Two-Factor Experiment with n Replications Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 7

Table 14. 3 Propellant Burning Rates Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 8

Table 14. 4 Analysis of Variance for the Data of Table 14. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 9

Table 14. 5 Interpretation of Interaction Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 10

Figure 14. 3 Plot of cell means for data of Example 14. 1. Numbers represent missile systems Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 11

Figure 14. 4 Residual plot of data of Example 14. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 12

Table 14. 6 Data for Example 14. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 13

Figure 14. 5 SAS printout for Exercise 14. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 14

Section 14. 4 Three-Factor Experiments Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Table 14. 7 ANOVA for the Three. Factor Experiment with n Replications Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 16

Table 14. 8 Data for Example 14. 4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 17

Table 14. 9 ANOVA for a Three-Factor Experiment in a Completely Randomized Design Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 18

Table 14. 10 Two-Way Table of Means for Example 14. 4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 19

Table 14. 11 ANOVA with Factor A Noninteracting Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 20

Table 14. 12 ANOVA for a Two-Factor Experiment in a Randomized Block Design Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 21

Table 14. 13 Data for Example 14. 5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 22

Figure 14. 7 ANOVA for Example 14. 5, batch interaction pooled with error Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 23

Figure 14. 8 Interaction plots for Example 14. 5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 14 - 24