Use of primary decomposition of polynomial ideals arising from indicator functions to enumerate orthogonal fractions

DOI10.1007/s42081-022-00149-zOpenAlexW3204117884MaRDI QIDQ2166028

Satoshi Aoki, Masayuki Noro

Publication date: 23 August 2022

Published in: Japanese Journal of Statistics and Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14777

zbMATH Keywords

Gröbner basesfractional factorial designsorthogonal designsprimary decompositionindicator functionscomputational algebraic statistics

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

• Classification of two-level factorial fractions
• Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors
• Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration
• Generalised confounding with Grobner bases
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