Chapter 14 Factorial Experiments Two or More Factors

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

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

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.

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

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

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

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

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.

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

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.

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

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

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

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.

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.

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 ©

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

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

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

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

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

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

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

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.

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

7 2 Factorial Experiments 7 2 Factorial Experiments7 2 Factorial Experiments 7 2 Factorial Experiments
CHAPTER 5 FACTORIAL DESIGNS FACTORIAL ESSENTIALS Factorial designCHAPTER 5 FACTORIAL DESIGNS FACTORIAL ESSENTIALS Factorial design
Factorial Experiments Factorial Design experiment in which moreFactorial Experiments Factorial Design experiment in which more
Recursion Factorial 6 654321 Factorial 75 Factorial 75Recursion Factorial 6 654321 Factorial 75 Factorial 75
ANOVA FACTORIAL DESIGN Factorial design Factorial design anANOVA FACTORIAL DESIGN Factorial design Factorial design an
Factorial Designs Chapter 11 Factorial designs Allow experimentsFactorial Designs Chapter 11 Factorial designs Allow experiments
More more I want more More More MoreMore more I want more More More More
Factorial Designs Using More Than One IV FactorialFactorial Designs Using More Than One IV Factorial
TwoLevel Factorial and Fractional Factorial Designs in BlocksTwoLevel Factorial and Fractional Factorial Designs in Blocks
3 way Factorial Designs Expanding factorial designs Effects3 way Factorial Designs Expanding factorial designs Effects
4 ANLISIS FACTORIAL Introduccin Modelo factorial ortogonal Construccin4 ANLISIS FACTORIAL Introduccin Modelo factorial ortogonal Construccin
Anlisis Factorial El anlisis Factorial AF fue introducidoAnlisis Factorial El anlisis Factorial AF fue introducido
Factorial Designs Factorial design a research design thatFactorial Designs Factorial design a research design that
EXPERIMENTO FACTORIAL 23 En este modelo factorial particularEXPERIMENTO FACTORIAL 23 En este modelo factorial particular
4 ANLISIS FACTORIAL Introduccin Modelo factorial ortogonal Construccin4 ANLISIS FACTORIAL Introduccin Modelo factorial ortogonal Construccin
Factorial Designs Background n n Factorial designs areFactorial Designs Background n n Factorial designs are
Fractional Factorial Designs 27 Factorial Design in 8Fractional Factorial Designs 27 Factorial Design in 8
Twolevel Factorial and Fractional Factorial Designs in BlocksTwolevel Factorial and Fractional Factorial Designs in Blocks
Factorial design II III Factorial ANOVA Week 7Factorial design II III Factorial ANOVA Week 7
Reintroduction to Factorial Designs reIntroduction to factorial designsReintroduction to Factorial Designs reIntroduction to factorial designs
n Factorial Permutations What is n Factorial Then Factorial Permutations What is n Factorial The
For example factorial 3 3 factorial 2 3For example factorial 3 3 factorial 2 3
Fractional Factorial Design n Full Factorial Disadvantages CostlyFractional Factorial Design n Full Factorial Disadvantages Costly