Cockerham C C, Weir B S
Biometrics. 1977 Mar;33(1):187-203.
Three different models, a two-way factorial model for familiarity, an orthogonalizing transform of this model to a diallel model, and a bio model more representative of the biological situation, are interrelated in terms of their components of variance and covariance. It is clarified that there are five components that can be reckoned with in the analysis of reciprocal crosses, including distinct maternal and paternal variances. Estimation of the components and tests of hypotheses concerning them are outlined for two types of mating designs with reciprocals. One deisgn involves a factorial mating design between two distinct sets of parents or parental lines and the other a diallel of all crosses from a single set of parents or parental lines. Both designs provide the same types of information and similar tests of hypotheses. At least some parts of the analyses corresponding to the factorial model are required to separate the maternal and paternal variances. A least squares partitioning of the sums of squares according to the diallel model, but with expectations expressed in terms of the bio model, provides most of the tests of hypotheses of interest. Worked examples are given.
三种不同的模型，即用于熟悉度的双向因子模型、该模型到双列杂交模型的正交变换以及更能代表生物学情况的生物模型，在其方差和协方差分量方面相互关联。明确了在正反交分析中可以考虑五个分量，包括不同的母本和父本方差。针对两种带有正反交的交配设计，概述了分量的估计以及关于它们的假设检验。一种设计涉及两组不同亲本或亲本系之间的因子交配设计，另一种是来自一组亲本或亲本系的所有杂交组合的双列杂交。两种设计都提供相同类型的信息和类似的假设检验。需要至少部分对应于因子模型的分析来分离母本和父本方差。根据双列杂交模型对方差和进行最小二乘划分，但期望以生物模型表示，提供了大部分感兴趣的假设检验。给出了实例。
