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Restricted best linear unbiased prediction and a selection model

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Summary

An equivalence between restricted best linear unbiased prediction (and thus restricted selection index) and a particular example of a selection model is presented. Specifically, the equivalence is between restricted selection and a model of selection on the residuals of the general mixed linear model. This result illustrates that restricted selection acts by nonrandomly sampling those genes that act pleiotropically in multiple trait genetic models. An expression for a mixed linear model which includes restrictions is also presented.

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Authors and Affiliations

  1. Department of Animal Science, University of California, 95616, Davis, CA, USA

    T. R. Famula

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  1. T. R. Famula
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Communicated by D. Van Vleck

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Famula, T.R. Restricted best linear unbiased prediction and a selection model. Theoret. Appl. Genetics 67, 337–340 (1984). https://doi.org/10.1007/BF00272871

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  • DOI: https://doi.org/10.1007/BF00272871

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