In a two-factor experiment with two levels of factor A and 2 levels of factor B,three of the treatment means are essentially identical and one is substantially different from the others.What result(s)would be produced by this pattern of treatment means?
A)a main effect for factor A only
B)a main effect for factor B only
C)an interaction between A and B
D)main effects for both A and B, and an interaction

Question

In a two-factor experiment with two levels of factor A and 2 levels of factor B,three of the treatment means are essentially identical and one is substantially different from the others.What result(s)would be produced by this pattern of treatment means?
A)​a main effect for factor A only
B)​a main effect for factor B only
C)an interaction between A and B
D)​main effects for both A and B, and an interaction

Quizplus · Accepted Answer

The pattern of treatment means indicates that there are both main effects for factors A and B, as well as an interaction between the two. The fact that three of the means are essentially the same suggests a main effect for one factor, while the one substantially different mean suggests a main effect for the other factor. The fact that the means are not identical across all combinations of A and B levels indicates an interaction between the factors. Therefore, the best choice is D, main effects for both A and B, and an interaction.

In a Two-Factor Experiment with Two Levels of Factor a and 2