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.
Contents
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 |

Language | English |

Series | London Mathematical Society Lecture Notes Series |

Volume | 251 |

Pages | 179-204 |

Publisher | Cambridge University Press |

Year | 1998 |

Editor | B.Buchberger and F.Winkler |

Translation |
No |

Refereed |
No |