*BLUPs: As discussed in Section 23.8, show that for the random-effects oneway ANOVA model, Yij 1 1i ij, the weights wi

*BLUPs: As discussed in Section 23.8, show that for the random-effects oneway ANOVA model, Yij ¼ β1 þ δ1i þ εij, the weights wi ¼ ni minimize the variance of the estimator

βb1 ¼

Pm P

i¼1 wiYi#

m i¼1 wi and thus that this choice provides the best linear unbiased estimator (BLUE) of β1. Then explain why is the best linear unbiased predictor (BLUP) of δ1i.