广义复相关系数及其在小麦育种上的应用  

Generalized Multiple Correlation Coefficient and Its Application in Wheat Breeding

作　　者：解小莉[1] 杜俊莉[1] 谢晓振[1] 胡小宁[1] 董晓萌[2] 刘建军[1] 刘璐 张军昌[4] 陈小蕾[1] 袁志发[1] 郭满才[1] 

机构地区：[1]西北农林科技大学理学院,陕西杨凌712100 [2]渭南师范学院数理学院,陕西渭南714099 [3]锦州医科大学公共基础学院,辽宁锦州121000 [4]西北农林科技大学机械与电子工程学院,陕西杨凌712100

出　　处：《麦类作物学报》2017年第1期87-93,共7页Journal of Triticeae Crops

基　　金：国家自然科学基金项目(31572361)

摘　　要：为了解决多个因变量Y和多个自变量X之间的相关分析,假设X与Y的联合正态分布已知,而且X与Y存在线性相依,提出广义复相关系数的定义、估计和检验。广义复相关系数是简单相关系数和复相关系数的自然推广,应用上更为方便。To solve the problem of correlation analysis between multiple dependent variables Y and multiple independent variables X,it is assumed the joint distribution of X and Y was known and X and Y had linear dependence. The definition,estimation and test of generalized multiple correlation coefficient were proposed in this study. Generalized multiple correlation coefficient is the natural popularization of simple correlation coefficient and multiple correlation coefficient,which has more convenient application in wheat breeding.

关 键 词：决定系数 复相关系数 多元分析 

分 类 号：S512.1[农业科学—作物学] S330