Families of ideals in statistics
Massimo Caboara, Lorenzo Robbiano · 1997
In this paper we use Grobner basis theory and some methods of Algebraic Geometry to solve a relevant problem in Statistics, more specifically in the Design of Experiments.Namely suppose we are given a Fhll Factorial Design D and a complete polynomial model P, whose support is contained in the order ideal of monomials defined by D. We show how to construct families of ideals defining Fractions ~of D which are minimally identified by P.