Use of indicator functions to enumerate cross-array designs without direct product structure

DOI10.2140/ASTAT.2023.14.167MaRDI QIDQ6578642

Masayuki Noro, Satoshi Aoki

Publication date: 25 July 2024

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

zbMATH Keywords

Gröbner basesfractional factorial designsindicator functionsTaguchi methodscomputational algebraic statisticscross-array designs

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15) Algebraic statistics (62R01) Statistics on algebraic and topological structures (62Rxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Classification of two-level factorial fractions
• Use of primary decomposition of polynomial ideals arising from indicator functions to enumerate orthogonal fractions
• Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors
• Generalised confounding with Grobner bases
• Taguchi's Quality Engineering Handbook

Related Items (1)

Algebraic approach for enumerating fractional factorial designs

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