Multi-level and mixed-level \(k\)-circulant supersaturated designs
type: Item
instance of: scholarly article
title: Multi-level and mixed-level \(k\)-circulant supersaturated designs
zbMATH Open document ID: 1392.62237
author: K. Drosou
author: Kashinath Chatterjee
author: Stelios D. Georgiou
author: Christos Koukouvinos
published in: Metrika
publication date: 2018-04-16T00:00:00Z
review text: Reducing considerably the experimental costs in fractional factorial experimental design, supersaturated designs (SSDs) are very often used in practice. In order to improve the method, (SSD)-procedures are determined by optimizing the function \(E(f_{NOD})\) describing the chi-square distance between the two-factor projections and the uniform distribution, hence, a distance between the design and an orthogonal array of strength \(2\). Thus, using this criterion for assessing the mixed-level (SSDs) from the viewpoint of orthogonality and uniformity, optimized balanced \(k\)-circulant multi-level and mixed-level designs are presented. Moreover, further lower bounds of \(E(f_{NOD})\) are derived.
reviewed by: Kurt Marti
Mathematics Subject Classification ID: 62K15
zbMATH DE Number: 6860397
zbMATH Keywords: fractional factorial design
zbMATH Keywords: supersaturated design
zbMATH Keywords: \(E(f_{NOD})\)-optimality
MaRDI profile type: Publication
full work available at URL: s00184-018-0645-4
OpenAlex ID: W2790855759
cites work: A new method of construction of multi-level supersaturated designs.
cites work: Some Systematic Supersaturated Designs
cites work: Construction of \(E(s^2)\)-optimal supersaturated designs
cites work: E\((s^{2})\)-optimal supersaturated designs with good minimax properties when \(N\) is odd
cites work: Optimal mixed-level supersaturated design with general number of runs
cites work: Optimal mixed-level \(k\)-circulant supersaturated designs
cites work: Optimal mixed-level supersaturated design
cites work: Supersaturated designs: a review of their construction and analysis
cites work: Multi-level \(k\)-circulant supersaturated designs
cites work: Construction of efficient unbalanced mixed-level supersaturated designs
cites work: Optimal Supersaturated Designs
cites work: Construction of equidistant and weak equidistant supersaturated designs
cites work: \(E(s^2)\)-optimal supersaturated designs with odd number of runs
cites work: On construction of optimal mixed-level supersaturated designs
cites work: Minimum \(G_2\)-aberration for nonregular fractional factorial designs
cites work: Construction of supersaturated designs through partially aliased interactions
cites work: Q4438057
cites work: Generalized minimum aberration for asymmetrical fractional factorial designs.
cites work: Construction of optimal multi-level supersaturated designs
DOI: 10.1007/S00184-018-0645-4
description: scientific article; zbMATH DE number 6860397