Interaction Terms in Distance-Based Regression

Abstract

We propose a method of including polynomial and interaction terms in Distance-Based Regression (Cuadras and Arenas, 1990), relying on properties of a semi-Hadamard or Khatri-Rao product of matrices. We demonstrate its application to real data examples.

Keywords:

• Distance analysis
• Interaction terms
• Mixed qualitative and quantitative predictors
• Nonlinear regression
• Polynomial regression

Mathematics Subject Classification:

• Primary 62J99
• Secondary 15A99

Acknowledgments

Work supported in part by the Spanish Ministerio de Educación y Ciencia and FEDER grant MTM2006-09920.