|Title||Gröbner Bases and Statistic|
|Author(s)|| Lorenzo Robbiano|
|Type||Article in Conference Proceedings|
|Abstract||This 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. |
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
|Series||London Mathematical Society Lecture Notes Series|
|Publisher||Cambridge University Press|
|Editor||B.Buchberger and F.Winkler|