一种度量生物性状非线性相关性的广义相关系数

Non-linear generalized correlation coefficient of biology trait

【目的】克服以往的相关性指标所存在的线性相关性和信息损失的问题,为实际育种工作提供一种新的多性状间的非线性相关分析方法。【方法】采用四阶矩法,提出一种用于描述变量间或向量间相关性程度的广义相关系数。【结果】将该广义相关系数应用于生物性状团的相关分析,可使性状团之间的相关程度介于0与1。【结论】该广义相关系数计算简单,无信息损失,并能度量变量之间的非线性相关性。

[Objective] The study was to overcome the problem of linear correlation and information loss,and provide a new way of non-linear correlation analysis in different traits for breeding operator. [Method] A kind of new generalized correlation coefficient based on the four rank moments was built, which could describe the correlation of different variables and vectors. [Result] It was applied in the analysis of trait group, and got the correlation measurement between 0 and 1. [Conclusion] The calculation method was simple, without loss of information and its correlation was non-linear.