In a two-factor experiment with two levels of factor A and two 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
B)a main effect for factor B
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 two 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
B)​a main effect for factor B
C)​an interaction between A and B
D)​main effects for both A and B, and an interaction

Quizplus · Accepted Answer

The fact that there is a substantial difference between one of the treatment means and the other three indicates the presence of a main effect for one of the factors (either A or B). The fact that the other three means are essentially identical suggests that there is no main effect for the other factor. However, the fact that the treatment means are not all the same suggests the presence of an interaction between the two factors. Therefore, the correct answer is D, which states that there are main effects for both factors (A and B) and an interaction between them.

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