Two polynomial representations of experimental design

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Notari, Roberto ; Riccomagno, Eva ; Rogantin, Maria-Piera (2007)
  • Subject: Statistics - Methodology | Statistics - Computation
    acm: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION

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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