You are interested in seeing if weight loss depends on the interaction between 3
ID: 3249884 • Letter: Y
Question
You are interested in seeing if weight loss depends on the interaction between 3 diet plans and 2 exercise plans. Here are the cell means for weight loss in pounds:
Diet Plan 1 Diet Plan 2 Diet Plan 3
Exercise 1 70 40 40
Exercise 2 30 50 70
Assuming the study has high power and any difference is significant, which F-statistics would be significant? Drawing an interaction plot and calculating marginal means, may be helpful.
Main effect of exercise is the only significant f-statistic.
Main effect of diet is the only significant f-statistic.
Main effects of both diet and exercise are significant. The interaction is not significant.
Main effects of both diet and exercise, and the interaction is significant.
Only the interaction is significant.
The main effect of diet and the interaction is significant. The main effect of exercise is not significant.
The main effect of exercise and the interaction is significant. The main effect of diet is not significant.
Main effect of exercise is the only significant f-statistic.
Main effect of diet is the only significant f-statistic.
Main effects of both diet and exercise are significant. The interaction is not significant.
Main effects of both diet and exercise, and the interaction is significant.
Only the interaction is significant.
The main effect of diet and the interaction is significant. The main effect of exercise is not significant.
The main effect of exercise and the interaction is significant. The main effect of diet is not significant.
Explanation / Answer
As we can see there is no individual linear pattern in diet and exercise. However an interaction of diet plan and exercise 2 lead a significant linear effect.
Hence, main effect of diet and exercise are insignificant.
Only the interaction is significant.
Only the interaction is significant.
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