16. In an experiment, you measure the popularity of two brands of soft drinks (factor A), and for each brand you test males and females (factor B). The following table shows the main effect and cell means from the study: Factor B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (b) Does there appear to be an interaction effect? Why? (c) What are the main effect means and thus the main effect of changing brands? (d) What are the main effect means and thus the main effect of changing gender? (e) Why will a significant interaction prohibit you from making conclusions based on the main effects?
16. In an experiment, you measure the popularity of two brands of soft drinks (factor A), and for each brand you test males and females (factor B). The following table shows the main effect and cell means from the study: Factor B Level B₁: Males Level B₂: Females Level A₁: Brand X 14 Factor A 25 Level A₂: Brand Y 23 12 (a) Describe the graph of the interaction when factor A is on the Xaxis. (b) Does there appear to be an interaction effect? Why? (c) What are the main effect means and thus the main effect of changing brands? (d) What are the main effect means and thus the main effect of changing gender? (e) Why will a significant interaction prohibit you from making conclusions based on the main effects?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:16. In an experiment, you measure the popularity of two brands of soft drinks (factor A), and for
each brand you test males and females (factor B). The following table shows the main effect and
cell means from the study:
Factor B
Level B₁:
Males
Level B₂:
Females
Level A₁:
Brand X
14
Factor A
25
Level A₂:
Brand Y
23
12
(a) Describe the graph of the interaction when factor A is on the Xaxis. (b) Does there appear to
be an interaction effect? Why? (c) What are the main effect means and thus the main effect of
changing brands? (d) What are the main effect means and thus the main effect of changing
gender? (e) Why will a significant interaction prohibit you from making conclusions based on the
main effects?
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