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Wiley InterScience

Biometrics

Biometrics

Volume 62 Issue 3, Pages 728 - 734

Published Online: 8 Mar 2006

©2009 International Biometric Society



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Improving Estimates of Genetic Maps: A Maximum Likelihood Approach
William C. L. Stewart 1,2,* and Elizabeth A. Thompson 1
  1 Department of Statistics, University of Washington, Seattle, Washington 98195, U.S.A.   2 Current address: Department of Biostatistics, University of Michigan, Ann Arbor, Michigan 48109-2029, U.S.A.
Correspondence to   * email: wstew@umich.edu
Copyright 2006, The International Biometric Society
KEYWORDS
Map estimation • Multipoint linkage analysis • Optimization algorithms • Stochastic approximation

ABSTRACT

Summary .   As a result of previous large, multipoint linkage studies there is a substantial amount of existing marker data. Due to the increased sample size, genetic maps estimated from these data could be more accurate than publicly available maps. However, current methods for map estimation are restricted to data sets containing pedigrees with a small number of individuals, or cannot make full use of marker data that are observed at several loci on members of large, extended pedigrees. In this article, a maximum likelihood (ML) method for map estimation that can make full use of the marker data in a large, multipoint linkage study is described. The method is applied to replicate sets of simulated marker data involving seven linked loci, and pedigree structures based on the real multipoint linkage study of Abkevich et al. (2003, American Journal of Human Genetics73, 1271–1281). The variance of the ML estimate is accurately estimated, and tests of both simple and composite null hypotheses are performed. An efficient procedure for combining map estimates over data sets is also suggested.


Received June 2005. Revised November 2005. Accepted November 2005.

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1541-0420.2006.00532.x About DOI

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