A comparison between the Gröbner bases approach and hidden projection properties in factorial designs

DOI10.1016/j.csda.2003.11.022zbMath1429.62348OpenAlexW2004547728MaRDI QIDQ959137

Haralambos Evangelaras, Christos Koukouvinos

Publication date: 11 December 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2003.11.022

zbMATH Keywords

Gröbner basesleading termsPlackett-Burman designs\(D\)- and \(D_{s}\)-efficiencyestimable effectshidden projection

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15)

Related Items (1)

Minimal average degree aberration and the state polytope for experimental designs

Uses Software

• CoCoA
• Maple

Cites Work

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• An algebraic computational approach to the identifiability of Fourier models.
• Classification of two-level factorial fractions
• The applications of computational algebraic geometry to the analysis of designed experiments: a case study
• Families of estimable terms
• Generalised confounding with Grobner bases
• Side betting and playing the National Lottery: An exercise in policy design

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