中国黄牛品种基因频率抽样估计效率的研究

STUDIES OF EFFICIENCY OF SAMPLING ESTIMATION FOR GENE FREQUENCIES IN CHINESE CATTLE BREEDS

本文给出基因频率纯随机抽样、随机整群抽样、系统随机抽样、系统随机整群抽样方差无偏估计值的算式,并论述各种抽样方法的相对精确度。讨论基因频率估计值的精确度、可靠性与样本规模的一般关系,证明当类别数、抽样群数、标准离散度和标准偏差分别为d、k、θ和λ_(st)时,基因频率整群抽样估计值的可靠性为β_(stc)=pr{-(dk)^(1/2)(2θ)^(-1)≤λ_(stc)≤(dk)^(1/2)(2θ)^(-1)}。研究肯定中心产区系统随机整群抽样是中国黄牛品种遗传检测的有效抽样方式。

Alaorithers for computing the unbiased eatinatics of sampling variance for gene frequencies in simplc random, random cluster, stratified random and stratified random cluster sampling are presented, and relative precision of various sampling methods is described in this paper. The genera lized relations between precision of estimate for gene frequencies and sampling slices and between sample sizes and reliabivity of estimate of gene freqrcncics are diseusseJ. Also eliability of estimate of sici sampling is pioposed to be .where dis the number of stratum;k the number of cluster mit; the standard discrete degree;and λst,c the standard normal deviate. Thus,it is ostablished that the stratified random cluster sampling in the central area of distibution is efficient for genetic investigation of Chinese catlle breeds.