Numerical Aspects of the Regression of Offspring on Parent

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Abstract
Three methods for esti-mating the coefficient of regression of offspring on parent when the number of offspring per parent is not constant, namely (1) the regression of offspring means on parent''s record, (2) the regression of individual offspring record on parent''s record, (3) the weighted means technique of Kempthorne and Tandon, are compared and contrasted theoretically and empirically with respect to their relative efficiencies of estimation. The appropriate technique in any given instance depends upon a parameter p which is unknown, so that an intelligent choice of technique depends upon determining p approximately. Then the computationally more difficult method (3) should be used, if feasible; otherwise, a criterion is suggested for choosing between methods (l)and (2).

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