Article ID Journal Published Year Pages File Type
1153705 Statistics & Probability Letters 2008 7 Pages PDF
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 χ2-process. In this note, an explicit representation of the supremum in terms of the recombination fraction between two markers of the χ2-process is presented. Based on the explicit representation, a simulation algorithm for determining a limiting threshold of the LRT is given.
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Physical Sciences and Engineering Mathematics Statistics and Probability
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