| 引用本文： |
-
廖森,王建设,陈超球.共线性在多元二次多项式回归模型中的危害及其处理方法[J].广西科学,2003,10(2):101-103. [点击复制]
- Liao Sen,Wang Jianshe,Chen Chaoqiu.Problems Caused by Collinearity and Solution in the Multivariate Second-degree Polynomial Models[J].Guangxi Sciences,2003,10(2):101-103. [点击复制]
|
|
| 摘要: |
| 以1个均匀设计应用的实例为对象,回归分析得到2个多元二次多项式方程:(1)Y=0.084826+0.23179X3-0.050286X3X3+0.028422X1X3-0.0013962X2X3;(2)Y=0.062320+0.2511X3-0.0600X3X3+0.02347X1X3。对这2个方程进行线性变换处理后,用SPSS软件包进行共线性诊断分析,得出方程(1)第4项和第2项存在强烈的共线性关系,共线性的存在使方程的预测变得不可靠;方程(2)没有共线性存在,可以正确指导科研工作。 |
| 关键词: 多元二次多项式回归模型 共线性 回归分析 |
| DOI： |
| 投稿时间：2002-10-09修订日期：2002-12-23 |
| 基金项目: |
|
| Problems Caused by Collinearity and Solution in the Multivariate Second-degree Polynomial Models |
|
Liao Sen, Wang Jianshe, Chen Chaoqiu
|
| (College of Chemistry and Chemical Engineering, Guangxi Univ, 100 Daxuelu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| The two multivariate second degree polynomial models, Y=0.084826+0.23179X3-0.050286X3X3+0.028422X1X3-0.0013962X2X3;(2)Y=0.062320+0.2511X3-0.0600X3X3+0.02347X1X3,are obtained from an application of uniform design.These two models transformed by linear method,are analyzed by SPSS Kit to solve collinearity problems.The strong collinearity relation between the fourth item and the second item in Equation(1) is found,which leads to fallibility prognosis.There is no collinearity found in Equation(2) which could be employed in scientific researches. |
| Key words: multivariate second-degree polynomial model collinearity regression analyse |
