Verify that if , i , j , and y ij , are as given by Eqs. (11.8.6) and (11.8.7), then for all

Verify that if μ̂, α̂_i, β̂_j, and ŷ_ij, are as given by Eqs. (11.8.6) and (11.8.7), then for all values of i and j. Each of the random variables in this exercise is a linear function of the Yijk’s, and hence the expectations are the same linear combinations of the expectations of the Yijk’s.

E () = , E(;)=a;, E(B) = Bj, and E(ij)