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

作　　者：董晓萌[1] 曹彬婕[2] 罗凤娟[1] 郭满才[1] 袁志发[1] 

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100 [2]中国农业大学理学院,北京100094

出　　处：《西北农林科技大学学报（自然科学版）》2008年第5期191-195,共5页Journal of Northwest A&F University(Natural Science Edition)

基　　金：国家自然科学基金项目(30571072)

摘　　要：【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.

关 键 词：广义相关系数 非线性相关 信息损失 性状团 

分 类 号：O212.4[理学—概率论与数理统计] S114[理学—数学]