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基于多重共线性的处理方法
引用本文:满敬銮,杨薇. 基于多重共线性的处理方法[J]. 数学理论与应用, 2010, 0(2): 105-109
作者姓名:满敬銮  杨薇
作者单位:中南大学数学科学与计算技术学院,长沙410075
摘    要:多重共线性简称共线性是多元线性回归分析中一个重要问题。消除共线性的危害一直是回归分析的一个重点。目前处理严重共线性的常用方法有以下几种:岭回归、主成分回归、逐步回归、偏最小二乘法、Lasso回归等。本文就这几种方法进行比较分析,介绍它们的优缺点,通过实例分析以便于选择合适的方法处理共线性。

关 键 词:岭回归  主成分回归  逐步回归  偏最小二乘法  Lasso回归

Based on Multiple Collinearity Processing Method
Man Jingluan Yang Wei. Based on Multiple Collinearity Processing Method[J]. Mathematical Theory and Applications, 2010, 0(2): 105-109
Authors:Man Jingluan Yang Wei
Affiliation:Man Jingluan Yang Wei (School of Mathematics Science and Computing Technology, CSU, Changsha, 410075)
Abstract:Multicollinearity referred to as collinearity is a multi - linear regression analysis in a very difficult issue. How to eliminate the collinearity hazards regression analysis has been a priority. The literature at home and abroad to deal with serious collinearity methods commonly used are the following: Ridge regression, principal component regression, stepwise regression, partial least squares method, Lasso regression. In this paper, a comparative analysis of these methods and describe their advantages and disadvantages, easy to select the appropriate ways to deal with collinearity through the example analysis.
Keywords:Ridge regression Principal component regression method Partial least squares regression Lasso regression
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