The algebraic method in experimental design

The algebraic method provides useful techniques to identify models in designs and to understand aliasing of polynomial models. The present note surveys the topic of Gr\"obner bases in experimental design and then describes the notion of confounding and the algebraic fan of a design. The ideas a...

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Bibliographic Details
Published in:arXiv.org 2012-07
Main Authors: Maruri-Aguilar, Hugo, Wynn, Henry P
Format: Article
Language:English
Subjects:
Algebra
Aliasing
Arrays
Design of experiments
Polynomials
Online Access:Get full text
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Summary:The algebraic method provides useful techniques to identify models in designs and to understand aliasing of polynomial models. The present note surveys the topic of Gr\"obner bases in experimental design and then describes the notion of confounding and the algebraic fan of a design. The ideas are illustrated with a variety of design examples ranging from Latin squares to screening designs.
ISSN:2331-8422