THE SAMPLING VARIANCE OF THE RELATIVE EFFICIENCY OF INDIRECT TO DIRECT SELECTION WHEN USING VARIANCE‐COVARIANCE COMPONENTS

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Abstract
Summary: A formula to compute the sampling variance of the relative efficiency of indirect to direct selection is developed for the case when the genetic and phenotypic components are estimated from the analyses of variance and covariance. This formula holds provided that the genetic and phenotypic variances and covariances are bounded away from zero. It is also assumed that the number of offspring per mating group, k, is constant. The effect of varying k values and the distribution of the ratio estimator of indirect to direct selection, û, are briefly discussed. An example from an expriment using Tribolium castaneum is also given.