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, . . . , v_I and w₁, . . . , w_J be arbitrary given positive numbers. Show that there exist unique numbers μ, α₁, . . . , α_I , and β₁, . . . , β_J such that

and

E(Y_ij) = μ + α_I + β_J for i = 1, . . . , I and j = 1, . . . , J.

Transcribed Image Text:

Συα-Σ υβ -0 j=1 i=1