(Two-way random effects model). For simplicity, let us consider the case of one observation per cell. In this case, the observations yij , i = 1, . . . , m, j = 1, . . . , k, satisfy yij = μ+ui +vj +eij for all i and j , where μ is as in Example 1.1; ui , i = 1, . . . , m and vj , j = 1, . . . , k, are independent random effects such that ui ∼ N(0, σ2 1 ), vj ∼ N(0, σ2 2 ); and eij ’s are independent errors distributed as N(0, τ2). Again, assume that the random effects and errors are independent. Show that this model is a special case of the mixed ANOVA model but not a special case of the longitudinal model.