Constructing optimal asymmetric combined designs via Lee discrepancy

DOI10.1016/J.SPL.2016.06.008zbMath1351.62155OpenAlexW2426155755MaRDI QIDQ312071

A. M. Elsawah

Publication date: 13 September 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.06.008

zbMATH Keywords

combined designcomplementary combined designLee discrepancyoptimal combined design

Mathematics Subject Classification ID

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

Related Items (11)

Novel techniques for performing successful follow-up experiments based on prior information from initial-stage experiments ⋮ Choice of optimal second stage designs in two-stage experiments ⋮ Improving the space-filling behavior of multiple triple designs ⋮ Constructing optimal router bit life sequential experimental designs: New results with a case study ⋮ An adjusted gray map technique for constructing large four-level uniform designs ⋮ Designing uniform computer sequential experiments with mixture levels using Lee discrepancy ⋮ New foundations for designing U-optimal follow-up experiments with flexible levels ⋮ Sharp lower bounds of various uniformity criteria for constructing uniform designs ⋮ A systematic construction approach for nonregular fractional factorial four-level designs via quaternary linear codes ⋮ A novel non-heuristic search technique for constructing uniform designs with a mixture of two- and four-level factors: a simple industrial applicable approach ⋮ Designing optimal large four-level experiments: a new technique without recourse to optimization softwares

Cites Work

• New lower bound for centered \(L_2\)-discrepancy of four-level \(U\)-type designs
• Lee discrepancy on asymmetrical factorials with two- and three-levels
• Mixture discrepancy on symmetric balanced designs
• A new strategy for optimal foldover two-level designs
• Lee discrepancy and its applications in experimental designs
• A note on optimal foldover design.
• Lee discrepancy on symmetric three-level combined designs
• Lower bound of centered \(L_2\)-discrepancy for mixed two and three levels \(U\)-type designs
• An efficient methodology for constructing optimal foldover designs in terms of mixture discrepancy
• A new look on optimal foldover plans in terms of uniformity criteria
• Asymmetric uniform designs based on mixture discrepancy

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