Aberration in qualitative multilevel designs
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Publication:274016
DOI10.1016/j.jspi.2016.02.003zbMath1338.62169arXiv1509.05861OpenAlexW2240632430MaRDI QIDQ274016
Fabio Rapallo, Maria Piera Rogantin, Roberto Fontana
Publication date: 22 April 2016
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.05861
indicator functionfractional factorial designsalgebraic statisticscomplex codingcounts of factor levelsgeneralized word-length pattern
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Factorial statistical designs (62K15)
Related Items (3)
Coding invariance in factorial linear models and a new tool for assessing combinatorial equivalence of factorial designs ⋮ On the aberrations of mixed level orthogonal arrays with removed runs ⋮ Algebraic characterization of \(\mathbb{C}\)-regular fractions under level permutations
Uses Software
Cites Work
- A characterization of saturated designs for factorial experiments
- Some identities on \(q^{n-m}\) designs with application to minimum aberration designs
- Classification of two-level factorial fractions
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- Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
- Generalized minimum aberration for asymmetrical fractional factorial designs.
- Discrete discrepancy in factorial designs
- Two-factor saturated designs: cycles, Gini index, and state polytopes
- A note on the connection between uniformity and generalized minimum aberration
- A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs
- Indicator function and complex coding for mixed fractional factorial designs
- A modern theory of factorial designs.
- Generalized resolution for orthogonal arrays
- Algebraic Generation of Orthogonal Fractional Factorial Designs
- Complete enumeration of pure-level and mixed-level orthogonal arrays
- Minimum Aberration 2 k-p Designs
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