Some criteria for measuring the overall precision of a genetic evaluation using linear mixed-model methodology are presented. They are derived via an extension of the coefficient of determination to linear combinations of estimates and via the use of the Kullback information. A parallel is drawn between inestimability of fixed-effects contrasts and the zero coefficient of determination for contrasts of random effects. The procedure is illustrated with 2 minor hypothetical examples of genetic evaluation based on an animal model and on a sire model.
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Dénis Laloë (1993) studied this question.
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