Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors

DOI10.1016/j.jspi.2019.03.003zbMath1422.62268arXiv1810.08417OpenAlexW2911601041MaRDI QIDQ2317318

Satoshi Aoki

Publication date: 9 August 2019

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08417

zbMATH Keywords

Gröbner basesfractional factorial designsorthogonal designsindicator functionscomputational algebraic statistics

Mathematics Subject Classification ID

Related Items (1)

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

Uses Software

• Macaulay2

Cites Work

• Indicator function and its application in two-level factorial designs
• Classification of two-level factorial fractions
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Some characterizations of affinely full-dimensional factorial designs
• Hilbert bases for orthogonal arrays
• Indicator function and complex coding for mixed fractional factorial designs
• Generalised confounding with Grobner bases
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors