Pedigree analysis for quantitative traits: variance components without matrix inversion.

E A Thompson; R G Shaw

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PubMed · 2364130

Pedigree analysis for quantitative traits: variance components without matrix inversion.

E A Thompson·R G Shaw

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Abstract

Recent developments in the animal breeding literature facilitate estimation of the variance components in quantitative genetic models. However, computation remains intensive, and many of the procedures are restricted to specialized designs and models, unsuited to data arising from studies of natural populations. We develop algorithms that allow maximum likelihood estimation of variance components for data on arbitrary pedigree structures. The proposed methods can be implemented on microcomputers, since no intensive matrix computations or manipulations are involved. Although parts of our procedures have been previously presented, we unify these into an overall scheme whose intuitive justification clarifies the approach. Two examples are analyzed: one of data on a natural population of Salivia lyrata and the other of simulated data on an extended pedigree.

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Algorithms Analysis of Variance Animal Husbandry Animals Biometry Crosses, Genetic Female Male Models, Genetic Models, Statistical Pedigree Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.Research Support, U.S. Gov't, P.H.S.

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E A Thompson, R G Shaw. 1990. Pedigree analysis for quantitative traits: variance components without matrix inversion.. https://pubmed.ncbi.nlm.nih.gov/2364130/

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