Algebraic approach for enumerating fractional factorial designs

DOI10.11329/jjssj.54.1MaRDI QIDQ6601512

Satoshi Aoki

Publication date: 10 September 2024

Published in: Journal of the Japan Statistical Society. Japanese Issue (Search for Journal in Brave)

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Indicator function and its application in two-level factorial designs
• Classification of two-level factorial fractions
• Algebraic algorithms for sampling from conditional distributions
• Use of primary decomposition of polynomial ideals arising from indicator functions to enumerate orthogonal fractions
• Some characterizations of affinely full-dimensional factorial designs
• Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors
• Indicator function and complex coding for mixed fractional factorial designs
• Generalised confounding with Grobner bases
• Use of indicator functions to enumerate cross-array designs without direct product structure

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