哈迪-温伯格平衡检验及其基因频率的估计  

Hardy-Weinberg equilibrium testing and estimating of allele frequency

作　　者：管宇[1] 张香云[1] 徐群芳[1] 吴志松[1] 顾光同[1] 聂文[1] 

机构地区：[1]浙江林学院理学院,浙江临安311300

出　　处：《浙江林学院学报》2009年第1期122-126,共5页Journal of Zhejiang Forestry College

基　　金：浙江省自然科学基金资助项目(Y607480);浙江省森林培育重中之重学科开放基金资助项目(200604)

摘　　要：哈迪-温伯格平衡定律(Hardy-Weinberg equilibrium,HWE)是群体遗传学中最重要的原理,是群体有性繁殖上下代之间基因频率与基因型频率是否保持平衡的检验尺度。在HWE检验时通常需要对各基因频率作估计。研究了存在显隐性时基因频率的极大似然估计值的牛顿迭代算法,牛顿迭代算法的收敛速度快于EM算法;讨论了最小Pearson χ2统计量估计与极大似然法估计的近似关系。推荐极大似然估计牛顿迭代法和最小Pearson χ2估计法。As the most important principle in population genetics, Hardy-Weinberg equilibrium （HWE） is a rule to check whether observed genotypic frequencies and allele frequencies between parents and their offspring are in equilibrium in a population. During HWE testing, frequencies of those alleles must be estimated. When there were dominant and recessive genotypes, we used Newton alternate algorithm to get maximum likelihood estimate （MLE） of allele frequencies. The research findings indicated that Newton alternate algorithm had a faster convergence than method of maximum likelihood. An approximate formula about the least Pearsonχ^2 statistic estimate and MLE was discussed. Newton alternate algorithm on MLE and the least Pearsonχ^2 statistic estimate were recommended. [Ch, 10 ref.]

关 键 词：哈迪-温伯格平衡 HWE检验 基因频率 极大似然估计 最小Pearson χ2估计 

分 类 号：Q348[生物学—遗传学] O29[理学—应用数学]