Multilocus linkage analysis by blocked Gibbs sampling

  • Authors:
  • Alun Thomas;Alexander Gutin;Victor Abkevich;Aruna Bansal

  • Affiliations:
  • Myriad Genetics Inc., 320 Wakara Way, Salt Lake City, UT 84108, USA&semi/ Genetic Epidemiology, Department of Medical Informatics, University of UT, 391 Chipeta Way D2, UT 84108, USA;Myriad Genetics Inc., 320 Wakara Way, Salt Lake City, UT 84108, USA;Myriad Genetics Inc., 320 Wakara Way, Salt Lake City, UT 84108, USA;Genetic Epidemiology, Department of Medical Informatics, University of UT, 391 Chipeta Way D2, UT 84108, USA&semi/ IHC Genetic Research, 391 Chipeta Way C, UT 84108, USA

  • Venue:
  • Statistics and Computing
  • Year:
  • 2000

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Abstract

The problem of multilocus linkage analysis is expressed as a graphical model, making explicit a previously implicit connection, and recent developments in the field are described in this context. A novel application of blocked Gibbs sampling for Bayesian networks is developed to generate inheritance matrices from an irreducible Markov chain. This is used as the basis for reconstruction of historical meiotic states and approximate calculation of the likelihood function for the location of an unmapped genetic trait. We believe this to be the only approach that currently makes fully informative multilocus linkage analysis possible on large extended pedigrees.