Bridging the Gap Between B-Spline and Polynomial Regression Model

Abstract

B-splines are flexible smoothers and a linear curve including a constant line is a hard but meaningful in practical situations. In this paper, we propose a method to select the better of two types of models by using an information criterion in order to take both advantages. Numerical study and an example of multiple nonparametric regression analysis showed good performance of our methodology.

Keywords:

• B-spline
• Information criterion
• Nonparametric regression
• Polynomial regression
• Semi-parametric regression
• Simple regression

Acknowledgments

The authors thank Dr. J. B. Cologne for his helpful comments and the referees for their encouragement and valuable advice. This study was supported in part by Grant-in-Aid for Encouragement of Young Scientists from the Ministry of Education Science, Sport Culture of Japan.