The Full EM Algorithm for the MLEs of QTL Effects and Positions and Their Estimated Variances in Multiple‐Interval Mapping
- 1 June 2005
- journal article
- Published by Oxford University Press (OUP) in Biometrics
- Vol. 61 (2), 474-480
- https://doi.org/10.1111/j.1541-0420.2005.00327.x
Abstract
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.Keywords
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