Two polynomial representations of experimental design

DOI10.1080/15598608.2007.10411844zbMath1427.62088arXiv0709.2997OpenAlexW1979604431MaRDI QIDQ2324037

Roberto Notari, Maria Piera Rogantin, Eva Riccomagno

Publication date: 13 September 2019

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2997

zbMATH Keywords

Gröbner basisindicator functionalgebraic statisticsfactorial designmixture design

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15)

Related Items (1)

Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics

Uses Software

• CoCoA
• Maple

Cites Work

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• The Gröbner fan of an ideal
• Mixture models based on homogeneous polynomials
• Indicator function and its application in two-level factorial designs
• Classification of two-level factorial fractions
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• The applications of computational algebraic geometry to the analysis of designed experiments: a case study
• Algebraic statistics of level codings for fractional factorial designs
• Indicator function and complex coding for mixed fractional factorial designs
• Generalised confounding with Grobner bases
• Fractional Simplex Designs for Interaction Screening in Complex Mixtures
• Using Algebraic Geometry

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