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ZJUS-B
Journal of Zhejiang University-SCIENCE B (Biomedicine & Biotechnology)  2007, Vol. 8 Issue (11): 792-801    DOI: 10.1631/jzus.2007.B0792
Quantitative Genetics 鈥?Selected Papers of the 3rd International Conference on Quantitative Genetics (ICQG), 2007 Aug., Hangzhou, China     
Mapping of quantitative trait loci using the skew-normal distribution
FERNANDES Elisabete, PACHECO António, PENHA-GONÇALVES Carlos
Centre for Mathematics and Its Applications, IST-Technical University of Lisbon, 1049-001 Lisboa, Portugal; Department of Statistics and Operational Research, Faculty of Sciences, University of Lisbon, 1749-016 Lisboa, Portugal; Department of Mathematics and Centre for Mathematics and Its Applications, IST-Technical University of Lisbon, 1049-001 Lisboa, Portugal; Gulbenkian Institute of Science, P-2781-901 Oeiras, Portugal
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Abstract  In standard interval mapping (IM) of quantitative trait loci (QTL), the QTL effect is described by a normal mixture model. When this assumption of normality is violated, the most commonly adopted strategy is to use the previous model after data transformation. However, an appropriate transformation may not exist or may be difficult to find. Also this approach can raise interpretation issues. An interesting alternative is to consider a skew-normal mixture model in standard IM, and the resulting method is here denoted as skew-normal IM. This flexible model that includes the usual symmetric normal distribution as a special case is important, allowing continuous variation from normality to non-normality. In this paper we briefly introduce the main peculiarities of the skew-normal distribution. The maximum likelihood estimates of parameters of the skew-normal distribution are obtained by the expectation-maximization (EM) algorithm. The proposed model is illustrated with real data from an intercross experiment that shows a significant departure from the normality assumption. The performance of the skew-normal IM is assessed via stochastic simulation. The results indicate that the skew-normal IM has higher power for QTL detection and better precision of QTL location as compared to standard IM and nonparametric IM.

Key words： Interval mapping (IM)      Quantitative trait loci (QTL)      Skew-normal distribution      Expectation-maximization (EM) algorithm     
Received: 19 September 2007     
CLC:  Q78  
  TP31  
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FERNANDES Elisabete
PACHECO António
PENHA-GONÇALVES Carlos
Cite this article:

FERNANDES Elisabete, PACHECO António, PENHA-GONÇALVES Carlos. Mapping of quantitative trait loci using the skew-normal distribution. Journal of Zhejiang University-SCIENCE B (Biomedicine & Biotechnology), 2007, 8(11): 792-801.

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http://www.zjujournals.com/xueshu/zjus-b/10.1631/jzus.2007.B0792     OR     http://www.zjujournals.com/xueshu/zjus-b/Y2007/V8/I11/792

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