Cyclic generators for saturated orthogonal arrays

DOI10.1007/s42519-021-00214-yzbMath1477.62203OpenAlexW3217175101MaRDI QIDQ2063880

Jay H. Beder, Angela M. Dean

Publication date: 3 January 2022

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42519-021-00214-y

zbMATH Keywords

orthogonal arraycyclic generatorPlackett-Burman designsprincipal elementfactorial experimentregular fractionPaley construction

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Uses Software

• Hadamard
• Orthogonal Array

Cites Work

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• Projection properties of Hadamard matrices of order 36 obtained from Paley's constructions
• Orthogonal arrays. Theory and applications
• Hidden projection properties of some nonregular fractional factorial designs and their applications
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• Some projection properties of orthogonal arrays
• Doubling and projection: A method of constructing two-level designs of resolution IV
• Complete enumeration of pure-level and mixed-level orthogonal arrays
• On Orthogonal Matrices
• Generators for Nonregular $2^{k-p}$ Designs
• THE COMPLETELY ORTHOGONALIZED LATIN SQUARE
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
• New non-isomorphic detection methods for orthogonal designs

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