Question: =+12.2 (Two-way random effects model). For simplicity, let us consider the case of one observation per cell. In this case, the observations yij , i

=+12.2 (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, τ 2). 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.

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