Question: In a one-way layout, show that for all values of i, i', and j , where j = 1, . . . , ni ,

In a one-way layout, show that for all values of i, i', and j , where j = 1, . . . , ni , i = 1, . . . , p, and i' = 1, . . . , p, the following three random variables W1, W2, and W3 are uncorrelated with each other:

W = Yij - Y4. Wz=Y4-Y++ W3 =Y+ W2 = Y4-Y4+ W3 =Y+

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