Question: Show that in a two-way layout, for all values of i, j , i', and j' (i and i' = 1, . . . ,

Show that in a two-way layout, for all values of i, j , i', and j' (i and i' = 1, . . . , I; j and j' = 1, . . . , J), the following four random variables W1, W2, W3, and W4 are uncorrelated with one another:

W = Yj-Y-Yj+Y++ W2 = Y+-Y+ W3=Y+p-Y+ +++ W4 =Y+

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