On equivalence of fractional factorial designs based on singular value decomposition

DOI10.1016/j.jspi.2013.06.013zbMath1279.62161OpenAlexW2014443274MaRDI QIDQ394100

Mohammad Hasan, H. S. Yoon

Publication date: 24 January 2014

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.2013.06.013

zbMATH Keywords

combinatorial equivalencedesign equivalencedesign isomorphisms

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (4)

Coding invariance in factorial linear models and a new tool for assessing combinatorial equivalence of factorial designs ⋮ Degree of isomorphism: a novel criterion for identifying and classifying orthogonal designs ⋮ Algebraic characterization of \(\mathbb{C}\)-regular fractions under level permutations ⋮ Unnamed Item

Cites Work

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• Isomorphism check in fractional factorial designs via letter interaction pattern matrix
• Complete enumeration of two-level orthogonal arrays of strength \(d\) with \(d+2\) constraints
• Graph based isomorph-free generation of two-level regular fractional factorial designs
• Some results on \(2^{n-k}\) fractional factorial designs and search for minimum aberration designs
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• An isomorphism check for two-level fractional factorial designs
• A survey and evaluation of methods for determination of combinatorial equivalence of factorial designs
• Singular value decomposition and least squares solutions
• A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix

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