(a) Data showing a main effect for factor A but no main effect for factor B and no interaction Factor B 40 M = 20 Overall M = 20 = 20 30 %3D %3D Factor A 20 Overall Two Levels M = 10 M = 10 M = 10 of Factor A 10 Overall M = 15 Overall M = 15 Factor B (b) Data showing main effects for both factor A and factor B but no interaction Factor B 40 Two Levels of Factor A Overall M = 10 M = 30 M = 20 30 Factor A 20 M = 20 Overall M = 30 M = 40 10 Overall Overall M = 35 M = 15 Factor B (c) Data showing no main effect for either factor, but an interaction Factor B 40 Overall M = 10 M = 20 30 M = 15 Factor A 20 Two Levels of Factor A Overall M = 20 M = 10 M = 15 10 Overall Overall M = 15 M = 15 Factor B FIGURE 11.5 Three Possible Combinations of Main Effects and Interac- tions in a Two-Factor Experiment

(a) Data showing a main effect for factor A but no main effect for factor B and no interaction Factor B 40 M = 20 Overall M = 20 = 20 30 %3D %3D Factor A 20 Overall Two Levels M = 10 M = 10 M = 10 of Factor A 10 Overall M = 15 Overall M = 15 Factor B (b) Data showing main effects for both factor A and factor B but no interaction Factor B 40 Two Levels of Factor A Overall M = 10 M = 30 M = 20 30 Factor A 20 M = 20 Overall M = 30 M = 40 10 Overall Overall M = 35 M = 15 Factor B (c) Data showing no main effect for either factor, but an interaction Factor B 40 Overall M = 10 M = 20 30 M = 15 Factor A 20 Two Levels of Factor A Overall M = 20 M = 10 M = 15 10 Overall Overall M = 15 M = 15 Factor B FIGURE 11.5 Three Possible Combinations of Main Effects and Interac- tions in a Two-Factor Experiment

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.

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