Lower bounds of the average mixture discrepancy for row augmented designs with mixed four- and five-level

DOI10.1080/03610926.2022.2032752OpenAlexW4213303822MaRDI QIDQ6096150

Jiaqi Liu, Unnamed Author, Di Yuan, Jian-jun Li

Publication date: 11 September 2023

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

Full work available at URL: https://doi.org/10.1080/03610926.2022.2032752

zbMATH Keywords

level permutationnew lower boundaverage mixture discrepancyrow augmented design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Design of statistical experiments (62K99) Factorial statistical designs (62K15)

Related Items

A lower bound of average mixture discrepancy for row augmented designs

Cites Work

• Unnamed Item
• Unnamed Item
• A new class of two-level optimal extended designs
• An effective approach for the optimum addition of runs to three-level uniform designs
• An effective construction method for multi-level uniform designs
• Addition of runs to an \(s\)-level supersaturated design
• Uniform fractional factorial designs
• Extended mixed-level supersaturated designs
• Optimal blocking and foldover plans for nonregular two-level designs
• Augmented uniform designs
• Addition of runs to a two-level supersaturated design
• Choice of optimal second stage designs in two-stage experiments
• Projection uniformity under mixture discrepancy
• Designing uniform computer sequential experiments with mixture levels using Lee discrepancy
• Theory and application of uniform experimental designs
• Partially replicated two-level fractional factorial designs via semifoldover
• Optimal foldover plans of asymmetric factorials with minimum wrap-around \(L_2\)-discrepancy
• Uniformity pattern of \(q\)-level factorials under mixture discrepancy
• New lower bound for Lee discrepancy of asymmetrical factorials
• Uniform augmented \(q\)-level designs
• An efficient method for constructing uniform designs with large size
• New foundations for designing U-optimal follow-up experiments with flexible levels
• A new lower bound for wrap-around \(L_2\)-discrepancy on two and three mixed level factorials
• Constructing uniform designs under mixture discrepancy
• Construction of uniform designs via an adjusted threshold accepting algorithm
• Optimum addition of information to computer experiments in view of uniformity and orthogonality
• Mixture discrepancy for quasi-random point sets
• Permuting regular fractional factorial designs for screening quantitative factors
• A new extension strategy on three-level factorials under wrap-around L₂-discrepancy
• Space-Filling Fractional Factorial Designs
• Lee discrepancy on mixed two- and three-level uniform augmented designs
• Uniform row augmented designs with multi-level
• Constructing optimal router bit life sequential experimental designs: New results with a case study