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Department of Animal Science, Cornell University, Ithaca, NY 14853
ABSTRACT
Regressed least squares is defined, precautions required in computing it are described, the variances of errors of prediction are stated, and some deficiencies of the methods are reported. These deficiencies are (i) predictors are not invariant, (ii) variances of prediction errors are not minimum, (iii) animals with no records (or with no progeny in progeny testing) cannot be evaluated, and (iv) computations are more difficult than those for the mixed model solution for best linear unbiased prediction. A modification of regressed least squares that does yield best linear unbiased prediction is described, but it is more difficult computationally than the mixed model solution.
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