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

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  • Zhang, Hong
  • Chen, Hanfeng
  • Li, Zhaohai

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.

Suggested Citation

  • Zhang, Hong & Chen, Hanfeng & Li, Zhaohai, 2008. "An explicit representation of the limit of the LRT for interval mapping of quantitative trait loci," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 207-213, February.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:3:p:207-213
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    Cited by:

    1. Guanfu Liu & Pengfei Li & Yukun Liu & Xiaolong Pu, 2020. "Hypothesis testing for quantitative trait locus effects in both location and scale in genetic backcross studies," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(4), pages 1064-1089, December.

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