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(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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Please look at the picture and explain all three examples (a, b, c). Explain what is the main effect of factor A and factor B and why do we have/do not have interaction in each example

(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
Transcribed Image Text:(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
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