Question

Based on the information presented in the means table below, it is reasonable to test for...

Based on the information presented in the means table below, it is reasonable to test for an interaction effect between Factors A and B.

A1 A2 A3
B1 4.3 2.1 4 3.47
B2 7.9 4.1 4 5.33
6.1 3.1 4
Math   Statistics-And-Probability   
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Answer #1

From the marginal means of Factor B, we can say that there is a main effect of the factor B (from 3.47 to 5.33). However the effect of factor B depends on the level of factor A. Under A1, the effect of factor B is substantial (from 4.3 to 7.9), under A2, the effect of factor B is moderate (from 2.1 to 4.1) while under A3, the effect of factor B is none. Therefore, it depends on the level of the other factor when we want to find the effect of another factor.

Hence, there is an interaction effect and it is reasonable to test the interaction for the same.

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