Gro¨bner basis strategies in regression

Abstract

The Gröbner basis method in experimental design (Pistone & Wynn, 1996) is developed in a practical setting. The computational algebraic techniques (Gröbner bases in particular) are coupled with statistical strategies and the links to more standard approaches made. A new method of analysing a non-orthogonal experiment based on the Gröbner basis method is introduced. Examples are given utilizing the approaches.