QUADRATIC ANALYSES OF RECIPROCAL CROSSES
QUADRATIC ANALYSES OF RECIPROCAL CROSSES
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DOI：
10.2307/2529312
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发表时间：
1977-01-01
期刊：
影响因子：
1.9
通讯作者：
WEIR, BS
中科院分区：
文献类型：
--
作者：
COCKERHAM, CC;WEIR, BS
三个不同的模型，即熟悉度的双向因子模型、该模型到双列模型的正交化变换和更能代表生物状况的生物模型，在它们的方差和协方差分量方面是相互关联的。在正反交分析中，有5个成分可以处理，包括不同的母本和父本方差。本文概述了两类带倒数的配对设计的成分估计和相关假设检验。一种设计涉及两组不同亲本或亲本之间的析因交配设计，另一种设计涉及来自一组亲本或亲本系的所有杂交的双列杂交。这两种设计提供了相同类型的信息和相似的假设检验。至少需要与阶乘模型相对应的部分分析来分离母方差和父方差。根据双列模型的平方和的最小二乘划分，但以生物模型的形式表达的期望，提供了对感兴趣的假设的大多数检验。文中给出了实例。
Three different models, a 2-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. There are 5 components that can be dealt with in analysis of reciprocal crosses, including distinct maternal and paternal variances. Estimation of the components and tests of hypotheses concerning them are outlined for 2 types of mating designs with reciprocals. One design involves a factorial mating design between 2 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.