In a three-way factorial design,there can be
A)four main effects and three interactions.
B)three main effects and three interactions.
C)two main effects and three interactions.
D)three main effects and four interactions.

Question

Quizplus · Accepted Answer

In a three-way factorial design, there are three factors, each with two levels, resulting in 2^3 = 8 unique treatment combinations. There are three main effects (one for each factor) and four interactions (two-way interactions between each pair of factors and one three-way interaction). Therefore, the best choice is option D.

In a Three-Way Factorial Design,there Can Be