Two polynomial representations of experimental design

Details Two polynomial representations of experimental design Two polynomial representations of experimental design

2007-09-19

arxiv.org/abs/0709.2997v1

Journal of Statistical Theory and Practice, 1:3-4, 329-346 (2008)

Statistics

Methodology

13 pages

Scientific paper

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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