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arXiv · 0709.2997

Two polynomial representations of experimental design

Roberto Notari·Eva Riccomagno·Maria-Piera Rogantin
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Abstract

In the context of algebraic statistics an experimental design is described by a set of polynomials called the design ideal. This, in turn, is generated by finite sets of polynomials. Two types of generating sets are mostly used in the literature: Groebner bases and indicator functions. We briefly describe them both, how they are used in the analysis and planning of a design and how to switch between them. Examples include fractions of full factorial designs and designs for mixture experiments.

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Roberto Notari, Eva Riccomagno, Maria-Piera Rogantin. 2007-09-19. Two polynomial representations of experimental design. https://arxiv.org/abs/0709.2997

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