标题： 定量性状位点效应在遗传回交研究中位置和尺度的假设检验 显示英文标题

标题： Hypothesis testing for quantitative trait locus effects in both location and scale in genetic backcross studies

摘要： 在QTL定位研究中，检验数量性状位点（QTL）效应的存在性是一个重要的任务。 大多数研究集中在不同QTL组的表型分布服从具有相同未知方差的正态分布的情况。 在本文中，我们做出了一个更一般的假设，即表型分布来自位置尺度分布族。 我们推导了在遗传回交研究中，QTL效应在位置和尺度上存在的似然比统计量（LRT）的极限分布。 我们进一步确定了这一极限分布的显式表示。 作为补充，我们研究了仅在位置上存在QTL效应的LRT的极限分布及其显式表示。 还研究了在局部替代假设下LRT的渐近性质。 通过模拟研究评估了渐近结果，并包括了一个真实数据示例进行说明。 显示英文摘要

摘要： Testing the existence of a quantitative trait locus (QTL) effect is an important task in QTL mapping studies. Most studies concentrate on the case where the phenotype distributions of different QTL groups follow normal distributions with the same unknown variance. In this paper we make a more general assumption that the phenotype distributions come from a location-scale distribution family. We derive the limiting distribution of the LRT for the existence of the QTL effect in both location and scale in genetic backcross studies. We further identify an explicit representation for this limiting distribution. As a complement, we study the limiting distribution of the LRT and its explicit representation for the existence of the QTL effect in the location only. The asymptotic properties of the LRTs under a local alternative are also investigated. Simulation studies are used to evaluate the asymptotic results, and a real-data example is included for illustration.