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TitleGröbner Bases and Statistic
Author(s) Lorenzo Robbiano
TypeArticle in Conference Proceedings
AbstractThis survey describes how to use methods of Algebraic Geometry and Commutative Algebra to study some problems arising in Design of Experiments, a branch of Statistics.
1 Introduction
2 From Design of Experiments to Commutative Algebra
3 Computing Confounding Polynomials: the Buchberger-Möller Algorithm
4 Identifying the Models
5 Some Problems
Problem 1: Given a Fraction, what are the Models identifiable by it?
Problem 2: Given a Model, what are the Fractions which identify it?
Problem 3: Which Fractions identify the highest (lowest) number of Models?
6 Concluding Remarks
SeriesLondon Mathematical Society Lecture Notes Series
PublisherCambridge University Press
EditorB.Buchberger and F.Winkler
Translation No
Refereed No