Which outcome is possible in a 2x2 factorial design?
A)four main effects and no interaction.
B)four main effects and no interaction
C)no main effect for either factor but an interaction
D)four interactions

Question

Which outcome is possible in a 2x2 factorial design?​
A)​four main effects and no interaction.
B)​four main effects and no interaction
C)no main effect for either factor but an interaction
D)​four interactions

Quizplus · Accepted Answer

In a 2x2 factorial design, there are two factors, each with two levels. Therefore, there can be four possible main effects and one possible interaction effect. However, it is also possible that there are no main effects, but there is an interaction effect between the two factors. Option C describes this scenario. Option A and B both state "four main effects," which is not accurate as there can only be two main effects in a 2x2 factorial design. Option D states "four interactions," which is not possible as there can only be one interaction effect in a 2x2 factorial design.

Which Outcome Is Possible in a 2x2 Factorial Design?​

Which Outcome Is Possible in a 2x2 Factorial Design?