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The Full EM Algorithm for the MLEs of QTL Effects and Positions and Their Estimated Variances in Multiple‐Interval Mapping
Author(s) -
Chen Zehua
Publication year - 2005
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2005.00327.x
Subject(s) - quantitative trait locus , fisher information , algorithm , computation , mathematics , inclusive composite interval mapping , interval (graph theory) , linkage (software) , biometrics , matrix (chemical analysis) , variance (accounting) , statistics , computer science , gene mapping , artificial intelligence , genetics , biology , combinatorics , chromosome , materials science , accounting , composite material , gene , business
Summary The advent of complete genetic linkage maps of DNA markers has made systematic studies of mapping quantitative trait loci (QTL) in experimental organisms feasible. The method of multiple‐interval mapping provides an appropriate way for mapping QTL using genetic markers. However, efficient algorithms for the computation involved remain to be developed. In this article, a full EM algorithm for the simultaneous computation of the MLEs of QTL effects and positions is developed. EM‐based formulas are derived for computing the observed Fisher information matrix. The full EM algorithm is compared with an ECM algorithm developed by Kao and Zeng (1997, Biometrics 53, 653–665). The validity of the inverted observed Fisher information matrix as an estimate of the variance matrix of the MLEs is demonstrated by a simulation study.