suggests the mixed model Xijk = + i + Bj + Cij + Uijk with the

suggests the mixed model Xijk = µ + αi + Bj + Cij + 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 ,

(Xij·−Xi··−X·j·+X···)
2 nσ2 C +σ2 ,


(Xijk−Xi··−X·j·+X···)
2 σ2 .