度量生物性状广义相关系数的抽样分布及假设检验  

Sampling distribution and hypothesis testing with generalized correlation coefficient of biology trait

作　　者：董晓萌[1] 袁志发[2] 

机构地区：[1]渭南师范学院数学与信息科学系,陕西渭南714000 [2]西北农林科技大学理学院,陕西杨凌712100

出　　处：《西北农林科技大学学报（自然科学版）》2010年第4期215-218,共4页Journal of Northwest A&F University(Natural Science Edition)

基　　金：国家自然科学基金项目(30571072);渭南师范学院研究生项目(09YKZ007)

摘　　要：【目的】完善生物性状非线性相关性的广义相关系数理论体系,为实际育种工作提供一套完整的理论体系。【方法】采用构造综合指标,借助于一元线性回归模型,对度量生物性状线性、非线性相关性的广义相关系数的抽样分布及假设检验问题进行研究。【结果】该广义相关系数服从F分布或t分布,可用F检验或者t检验对该相关系数与0之间的差异显著性进行检验。【结论】建立的广义相关系数检验方法计算简单、无信息损失,线性与非线性广义相关系数的定义、性质、抽样分布及假设检验问题都予以解决,丰富了多元统计学内容。[Objective] The recearch was done in order to complete generalized correlation coefficient theory system of biology trait and provide the whole theory system for breeding operation. [Method] The sampling distribution and hypothesis testing of this non-linear generalized correlation coefficient to measure biology trait was studied with linear regression model. [Result] The testing of this non-linear generalized correlation coefficient is F-testing or t-testing with correlation coefficient 0. [Conclusion] The definition, nature, sampling distribution and hypothesis testing have been solved, the whole theory system for Mutivariate statistics analysis has been enriched and the testing method is simple.

关 键 词：广义相关系数 非线性相关 抽样分布 假设检验 

分 类 号：O212.4[理学—概率论与数理统计] S114[理学—数学]