Exercise 9.6.3 The missing value procedure that consists of analyzing the model (Y Z ) =
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Exercise 9.6.3 The missing value procedure that consists of analyzing the model (Y − Zγˆ ) = Xβ + 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) ˆycd ]2/a(a − 1)2, where y·d is the sum of all actual observations in block
d, and ˆycd is the pseudo-observation (the nonzero element of Zγˆ ).
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