In Figure 11.5, we show three combinations of main effects and interactions for a 2 X 2 factorial design. Using the same 2 X 2 structure, with factor A defining the rows and factor B defining the columns, create a set of means that produce each of the following patterns: The main effect for factors A and B, but no interaction. The main effect for factor A and interaction, but no main effect for factor B. The main effect for both factors and interaction (a) Data showing a main effect for factor A but no main effect forfactor B and no interaction.Factor B40OverallM= 20M = 20M = 2030Factor A20Two Levelsof Factor AOverallM = 10M = 10M = 1010OverallOverallM = 15M = 15Factor B(b) Data showing main effects for both factor A and factor B but nointeraction.Factor BTwo Levelsof Factor A40OverallM= 20M= 10M= 3030Factor A20M= 40OverallM = 30M= 2010OverallM = 15OverallM = 35Factor B(c) Data showing no main effect for either factor, but aninteraction.Factor B40OverallM = 15M = 10M = 2030Factor A20OverallM = 15Two Levelsof Factor AM = 20M = 1010OverallM = 15OverallM = 15Factor B

a) The data given showing a main effect for factor A but no main effect for factor B and no…

Answered: In Figure 11.5, we show three…

MATLAB: An Introduction with Applications

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In Figure 11.5, we show three combinations of main effects and interactions for a 2 X 2 factorial design. Using the same 2 X 2 structure, with factor A defining the rows and factor B defining the columns, create a set of means that produce each of the following patterns:

The main effect for factors A and B, but no interaction.
The main effect for factor A and interaction, but no main effect for factor B.
The main effect for both factors and interaction

(a) Data showing a main effect for factor A but no main effect for
factor B and no interaction.
Factor B
40
Overall
M= 20
M = 20
M = 20
30
Factor A
20
Two Levels
of Factor A
Overall
M = 10
M = 10
M = 10
10
Overall
Overall
M = 15
M = 15
Factor B
(b) Data showing main effects for both factor A and factor B but no
interaction.
Factor B
Two Levels
of Factor A
40
Overall
M= 20
M= 10
M= 30
30
Factor A
20
M= 40
Overall
M = 30
M= 20
10
Overall
M = 15
Overall
M = 35
Factor B
(c) Data showing no main effect for either factor, but an
interaction.
Factor B
40
Overall
M = 15
M = 10
M = 20
30
Factor A
20
Overall
M = 15
Two Levels
of Factor A
M = 20
M = 10
10
Overall
M = 15
Overall
M = 15
Factor B

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