suggests the mixed model Xijk = + i + Bj + Ci j + Uijk with the Bs, Cs, and Us as in Problem

suggests the mixed model Xijk = μ + αi + Bj + Ci j + Uijk with the B’s, C’s, and U’s as in Problem 7.34. Reduce this model to a canonical form involving X··· and the sums of squares

(Xi··−X···−αi)

2 nσ2 C+σ2 ,

(X· j·−X···)

2 anσ2 B+nσ2 C+σ2 ,

(Xi j·−Xi··−X· j·+X···)

2 nσ2 C+σ2 ,

(Xijk−Xi··−X· j·+X···)

2

σ2 .