Coding invariance in factorial linear models and a new tool for assessing combinatorial equivalence of factorial designs

DOI10.1016/j.jspi.2017.07.004zbMath1377.62166OpenAlexW2743245638MaRDI QIDQ1681043

Ulrike Grömping

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2017.07.004

zbMATH Keywords

qualitative factorsexperimental designcombinatorial equivalencegeneralized word length patternmean aberrations

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Factorial statistical designs (62K15)

Related Items (2)

An algorithm for generating good mixed level factorial designs ⋮ Algebraic characterization of \(\mathbb{C}\)-regular fractions under level permutations

Uses Software

• DoE.base
• Orthogonal Array
• sets

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Aberration in qualitative multilevel designs
• On equivalence of fractional factorial designs based on singular value decomposition
• Equivalence of factorial designs with qualitative and quantitative factors
• On invariance and randomization in fractional replication
• Orthogonal arrays. Theory and applications
• Automatic generation of generalised regular factorial designs
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs
• Generalized resolution for orthogonal arrays
• Complete enumeration of pure-level and mixed-level orthogonal arrays
• Combinatorial Equivalence of Fractional Factorial Designs
• On the isomorphism of fractional factorial designs

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