A new look on optimal foldover plans in terms of uniformity criteria

DOI10.1080/03610926.2015.1024862zbMath1360.62414OpenAlexW2325676865MaRDI QIDQ2979943

A. M. Elsawah, Hong Qin

Publication date: 27 April 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1024862

zbMATH Keywords

lower bounddiscrepancycombined designfoldover planfoldover designuniformity criterioncomplementary foldover plan

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Factorial statistical designs (62K15)

Related Items (15)

Optimum mechanism for breaking the confounding effects of mixed-level designs ⋮ A note on optimal foldover four-level factorials ⋮ A catalog of optimal foldover plans for constructing U-uniform minimum aberration four-level combined designs ⋮ Constructing optimal asymmetric combined designs via Lee discrepancy ⋮ An efficient methodology for constructing optimal foldover designs in terms of mixture discrepancy ⋮ Choice of optimal second stage designs in two-stage experiments ⋮ An effective approach for the optimum addition of runs to three-level uniform designs ⋮ Constructing optimal router bit life sequential experimental designs: New results with a case study ⋮ A new non-iterative deterministic algorithm for constructing asymptotically orthogonal maximin distance Latin hypercube designs ⋮ Sequentially weighted uniform designs ⋮ Designing uniform computer sequential experiments with mixture levels using Lee discrepancy ⋮ A novel low complexity fast algorithm for effectively designing optimal mixed-level experiments ⋮ A novel doubling-tripling-threshold accepting hybrid algorithm for constructing asymmetric space-filling designs ⋮ New foundations for designing U-optimal follow-up experiments with flexible levels ⋮ A novel non-heuristic search technique for constructing uniform designs with a mixture of two- and four-level factors: a simple industrial applicable approach

Cites Work

• A note on lower bound of centered \(L_{2}\)-discrepancy on combined designs
• New lower bound for centered \(L_2\)-discrepancy of four-level \(U\)-type designs
• Some new lower bounds to centered and wrap-round \(L_2\)-discrepancies
• Lower bounds of various discrepancies on combined designs
• Optimal foldover plans of three-level designs with minimum wrap-around \(L_2\)-discrepancy
• Lee discrepancy and its applications in experimental designs
• 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 new lower bound for wrap-around \(L_2\)-discrepancy on two and three mixed level factorials
• Lee discrepancy on symmetric three-level combined designs
• Optimal foldover plans for blocked \(2^{m-k}\) fractional factorial designs
• Choise of optimal initial designs in sequential experiments
• A lower bound for the centredL₂-discrepancy on combined designs under the asymmetric factorials
• A Lower Bound for the Wrap-around L₂-discrepancy on Combined Designs of Mixed Two- and Three-level Factorials
• Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels

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