Consider a two-way layout in which the effects of the factors are additive so that Eq. (11.7.1) is satisfied, and let v1, . . . , vI and w1, . . . , wJ be arbitrary given positive numbers. Show that there exist unique numbers μ, α1, . . . , αI , and β1, . . . , βJ such that
and
E(Yij) = μ + αI + βJ for i = 1, . . . , I and j = 1, . . . , J.

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