The algebraic method in experimental design

2012/07/12 by Maruri-Aguilar, Hugo, Wynn, Henry P.
#06B10 #13F20 #13P10 #62K15 #62K20 #Commutative Algebra (math.AC) #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME)

paper · doi:10.48550/arxiv.1207.2968

Abstract

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 Gröbner 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.

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