The applications of computational algebraic geometry to the analysis of designed experiments: a case study

DOI10.1007/s001800050014zbMath0933.62070OpenAlexW2059580254WikidataQ61855939 ScholiaQ61855939MaRDI QIDQ1966366

Giovanni Pistone, Tim Holliday, Henry P. Wynn, Eva Riccomagno

Publication date: 1 March 2000

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001800050014

zbMATH Keywords

Groebner basesregression experiments

Mathematics Subject Classification ID

Factorial statistical designs (62K15) Computational aspects in algebraic geometry (14Q99)

Related Items

Minimal average degree aberration and the state polytope for experimental designs, A comparison between the Gröbner bases approach and hidden projection properties in factorial designs, New light on certain two level designs using Gröbner bases, Classification of two-level factorial fractions, Gröbner Basis Methods in Mixture Experiments and Generalisations, Two polynomial representations of experimental design

Uses Software

• CoCoA
• Maple

Cites Work

• An algebraic computational approach to the identifiability of Fourier models.
• Generalised confounding with Grobner bases
• Isolation of Degrees of Freedom for Box-Behnken Designs
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