An effective construction method for multi-level uniform designs

DOI10.1016/j.jspi.2013.04.009zbMath1279.62162OpenAlexW1998251503MaRDI QIDQ394576

Hongquan Xu, Yu. Tang

Publication date: 27 January 2014

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2013.04.009

zbMATH Keywords

stochastic algorithmsfractional factorial designsgeneralized minimum aberrationgeneralized wordlength patternlevel permutationsuniform designs

Mathematics Subject Classification ID

Related Items (27)

Search for minimum aberration designs with uniformity ⋮ Building some bridges among various experimental designs ⋮ A new strategy for tripling ⋮ Uniform minimum moment aberration designs ⋮ Construction of uniform mixed-level designs through level permutations ⋮ Construction of uniform \(U\)-designs ⋮ Improving the space-filling behavior of multiple triple designs ⋮ Lower bound of average centeredL2-discrepancy forU-type designs ⋮ Construction of uniform projection designs via level permutation and expansion ⋮ Construction of main effects plans orthogonal through the block factor based on level permutation ⋮ Quadrupling: construction of uniform designs with large run sizes ⋮ Lower bounds of the average mixture discrepancy for row augmented designs with mixed four- and five-level ⋮ Design efficiency for minimum projection uniform designs with \(q\) levels ⋮ A lower bound of average mixture discrepancy for row augmented designs ⋮ An adjusted gray map technique for constructing large four-level uniform designs ⋮ Unnamed Item ⋮ An appealing technique for designing optimal large experiments with three-level factors ⋮ Uniform augmented \(q\)-level designs ⋮ Level permutation method for constructing uniform designs under the wrap-around \(L_2\)-discrepancy ⋮ Constructing optimal projection designs ⋮ Space-Filling Fractional Factorial Designs ⋮ Multiple doubling: a simple effective construction technique for optimal two-level experimental designs ⋮ Connecting U-type designs before and after level permutations and expansions ⋮ New recommended designs for screening either qualitative or quantitative factors ⋮ Tripling of fractional factorial designs ⋮ Designing optimal large four-level experiments: a new technique without recourse to optimization softwares ⋮ Construction of multi-level space-filling designs via code mappings

Cites Work

• Uniform fractional factorial designs
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• Centered $L_2$-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs
• Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels
• A generalized discrepancy and quadrature error bound
• Uniform designs limit aliasing
• Miscellanea. A connection between uniformity and aberration in regular fractions of two-level factorials
• A note on generalized aberration in factorial designs
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