An explicit representation of the limit of the LRT for interval mapping of quantitative trait loci

Hong Zhang, Hanfeng Chen and Zhaohai Li

Statistics & Probability Letters, 2008, vol. 78, issue 3, 207-213

Abstract: Consider the interval mapping method for quantitative trait loci (QTL) detection of an experimental organism in a backcross population. In a recent paper, Chen and Chen [2005. On some statistical aspects of the interval mapping for QTL detection. Statist. Sinica 15, 909-925] show that the limiting null distribution of the likelihood ratio test (LRT) statistic for testing existence of a QTL flanked by two markers is that of the supremum of a [chi]2-process. In this note, an explicit representation of the supremum in terms of the recombination fraction between two markers of the [chi]2-process is presented. Based on the explicit representation, a simulation algorithm for determining a limiting threshold of the LRT is given.

Keywords: Backcross; population; Limiting; threshold; Marker; interval; Mixture; model (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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