Optimal foldover plans of three-level designs with minimum wrap-around \(L_2\)-discrepancy

DOI10.1007/s11425-014-4936-6zbMath1331.62387OpenAlexW1968392009MaRDI QIDQ887053

Hong Qin, Xu Cai, Zu Jun Ou

Publication date: 27 October 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4936-6

zbMATH Keywords

lower boundcombined designfoldover planthree-level factorialswrap around \(L_2\)-discrepancy

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Factorial statistical designs (62K15)

Related Items (12)

A closer look at de-aliasing effects using an efficient foldover technique ⋮ Effective lower bounds of wrap-around \(L_2\)-discrepancy on three-level combined designs ⋮ An efficient methodology for constructing optimal foldover designs in terms of mixture discrepancy ⋮ Constructing optimal router bit life sequential experimental designs: New results with a case study ⋮ Uniformity and projection uniformity of combined designs ⋮ Sequentially weighted uniform designs ⋮ A new look on optimal foldover plans in terms of uniformity criteria ⋮ Generalized foldover method for high-level designs ⋮ Optimal foldover plans of asymmetric factorials with minimum wrap-around \(L_2\)-discrepancy ⋮ Augmented uniform designs ⋮ A new foldover strategy and optimal foldover plans for three-level design ⋮ Semifoldover plans for three-level orthogonal arrays with quantitative factors

Cites Work

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• Lower bounds of various discrepancies on combined designs
• Majorization framework for balanced lattice designs
• Optimal foldover plans for regular \(s\)-level fractional factorial designs
• Lower bounds of the wrap-around \(L_2\)-discrepancy and relationships between MLHD and uniform design with a large size
• A note on optimal foldover design.
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• A note on the selection of optimal foldover plans for 16- and 32-run fractional factorial designs
• Optimal foldover plans for blocked \(2^{m-k}\) fractional factorial designs
• Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs
• Choise of optimal initial designs in sequential experiments
• A lower bound for the centredL₂-discrepancy on combined designs under the asymmetric factorials

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