The missing value procedure that consists of analyzing the model (Y - Zi') = X{3 + e

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The missing value procedure that consists of analyzing the model (Y - Zi') = X{3 + e has been shown to give the correct SSE and BLUEs; however, sums of squares explained by the model are biased upwards. For a randomized complete block design with a treatments and b blocks and the observation in the

c, d cell missing, show that the correct mean square for treatments is the naive (biased) mean square treatments minus [Y.d - (a -1)Yed]2 /a(a _1)2, where y.d is the sum of all actual observations in block

d, and fled is the pseudo-observation (the nonzero element of Zi').

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