A blocking Gibbs sampling method to detect major genes with phenotypic data from a diallel mating

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A blocking Gibbs sampling method to detect major genes with phenotypic data from a diallel mating.

Diallel mating is a frequently used design for estimating the additive and dominance genetic (polygenic) effects involved in quantitative traits observed in the half- and full-sib progenies generated in plant breeding programmes. Gibbs sampling has been used for making statistical inferences for a mixed-inheritance model (MIM) that includes both major genes and polygenes. However, using this ap...

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In this paper, we investigate combining blocking and collapsing – two widely used strategies for improving the accuracy of Gibbs sampling – in the context of probabilistic graphical models (PGMs). We show that combining them is not straight-forward because collapsing (or eliminating variables) introduces new dependencies in the PGM and in computation-limited settings, this may adversely affect ...

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We introduce a methodology for performing approximate computations in very complex probabilistic systems (e.g. huge pedigrees). Our approach, called blocking Gibbs, combines exact local computations with Gibbs sampling in a way that complements the strengths of both. The methodology is illustrated on a real-world problem involving a heavily inbred pedigree containing 20;000 individuals. We pres...

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ژورنال

عنوان ژورنال: Genetical Research

سال: 2004

ISSN: 0016-6723,1469-5073

DOI: 10.1017/s0016672304006718