6. Suppose in a completely randomized designs experiment there are 3 crossed factors A, B and C. Their

levels are a = 4, b = 3 and c = 3. Each treatment is replicated r = 2 times. The following model is

applied to the experiment:

Y₁jkt = μ+a₁ +8₂ + 7 +(BY); +€₁₂₁ = 1, 2, 3, 4; j, k = 1,2,3,

where it's are i.i.d. N(0,0²), a,'s represent the fixed effects of A, B,'s and 's are the random effects

of Factors B and C, respectively, and (3),k's are the random interaction effects. Furthermore, assume

all random terms are independent and

3₁~ N(0,0), ~ N(0,02), (37) ~ N(0, obc).

Partial SAS output is provided below