Departments of Dairy Science and Animal Science, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801.
Genetics. 1981 Jun;98(2):417-26. doi: 10.1093/genetics/98.2.417.
An approximate minimum-variance estimate of heritability (h(2)) is proposed, using the sire and dam components of variance from a hierarchical analysis of variance. The minimum sampling variance is derived for unbalanced data. Optimum structures for the estimation of h(2) are given for the balanced case. The degree to which ĥ(2) is more precise than the equally weighted estimate ĥ(2) (S+D) is a function of the size and structure of the sample used. However, computer simulation reveals that ĥ(2) has less desirable behavior than ĥ(2) (S+D). An iterative procedure improved the estimation of h(2), especially in small populations, when those values of ĥ(2) (S) or ĥ(2) (D) outside the range of the parameter were constrained to zero or unity.
提出了一种使用方差的父本和母本分量的遗传力（h(2)）的近似最小方差估计，该方法来自方差的层次分析。为不平衡数据推导出最小抽样方差。对于平衡情况，给出了 h(2)的最佳估计结构。ĥ(2)比等权重估计ĥ(2)(S+D)更精确的程度取决于所用样本的大小和结构。然而，计算机模拟表明，ĥ(2)的行为不如ĥ(2)(S+D)理想。迭代过程改进了 h(2)的估计，尤其是在小种群中，当那些超出参数范围的ĥ(2)(S)或ĥ(2)(D)值被约束为零或一。
