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 Full 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 F of D which are minimally identified by P.

Familes of Ideals in Statistics

CABOARA, MASSIMO;
1997-01-01

Abstract

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 Full 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 F of D which are minimally identified by P.
1997
0897918754
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/56599
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