1. In a completely randomized design, there are two factors, A with two levels and B with three levels.

Suppose the 6 treatment means are

116, 12 = 10,13 = 8

H21 = 5, 22 = 5,/23 = 5.

Note these are the true treatment means and are supposed to be known. Answer the following questions.

a. [3pts] Are there interaction effects? Why? [Hint: Use the definition of interations.]

b. [3pts] Find μ, ai, Bj and (aß)ij, i = 1, 2, j = 1, 2, 3, such that

Hij = μl + ai + Bj + (aß)ij.