Grobner basis strategies in regression

The Grobner basis method in experimental design (Pistone & Wynn, 1996) is developed in a practical setting. The computational algebraic techniques (Grobner 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 Grobner basis method is introduced. Examples are given utilizing the approaches.