Abstract

AbstractStatistical methods that have been applied for inferring breeding values in animal breeding are reviewed. Landmarks include statistical genetic models; best linear unbiased prediction; Henderson's mixed model equations and associated computing techniques; variance and covariance component estimation, with emphasis on likelihood‐based methods; Bayesian procedures; methods for categorical responses, longitudinal data and survival analysis. The problem caused by the effects of selection on inferences is discussed. An inventory of some available computing software is presented. Finally, some areas for future development are discussed.

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