加性与广义加性模型回归分析

Regression analysis based on the additive model and generalized additive model

本文目的是介绍加性与广义加性模型回归分析的概念、作用以及用软件实现计算的方法。先介绍有关的基本概念,再介绍基本原理,最后通过一个实例并基于SAS软件演示如何实施加性模型回归分析。结果表明:相对于引入派生变量进行常规多重线性回归分析而言,加性与广义加性模型回归分析能够更好地提升模型对资料的拟合效果。

The purpose of this paper was to introduce the concepts,functions and the calculation methods by using the statistical software of the regression analysis based on the additive model and generalized additive model. Firstly,the basic concepts of the regression analysis were introduced. Secondly,the basic principles of the regression analysis were given. Finally,the regression analysis based on the additive model was demonstrated through one example by using the SAS software. The results showed that the additive model regression analysis could improve the fitted effect greatly than the result acquired by using derived variables in conventional multiple linear regression analysis.