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线性回归中自变量相关时的方法探讨
引用本文:王玉梅.线性回归中自变量相关时的方法探讨[J].通化师范学院学报,2011,32(8):7-8.
作者姓名:王玉梅
作者单位:菏泽学院数学系,山东菏泽,274015
摘    要:对于自变量具有多重线性相关性的多元线性回归,文中分别用主成分回归和PLSI回归对同一适当的问题进行建模分析,得出PLSI回归优于主成分回归的结论.

关 键 词:PLSI  主成分  主成分回归  交叉检验

Discussion of Linear Regression with Correlated Independent Variables
WANG Yu-mei.Discussion of Linear Regression with Correlated Independent Variables[J].Journal of Tonghua Teachers College,2011,32(8):7-8.
Authors:WANG Yu-mei
Institution:WANG Yu-mei (Department of Mathematics,Heze University,Heze,Shandong 274015,China)
Abstract:We apply principal component regression (PCR) and simple partial least- squares regression (PLS1) to analyze the same model which is the multiple linear regression with multieollinearity independent variables and conclude that the PLSI regression is more suitable than principal component regression. In addition give reasonable analysis.
Keywords:Simple partial least - squares regression  principle component  principle component regression  cross -validation
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