Lower Bounds for the Uniformity Pattern of Asymmetric Fractional Factorials

DOI10.1080/03610920802439161zbMath1290.62057OpenAlexW2004262150MaRDI QIDQ5321939

Hong Qin, Kashinath Chatterjee

Publication date: 16 July 2009

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

Full work available at URL: https://doi.org/10.1080/03610920802439161

zbMATH Keywords

lower boundprojection discrepancyasymmetrical fractional factorial

Mathematics Subject Classification ID

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

Related Items (11)

Generalized projection discrepancy and its applications in experimental designs ⋮ Uniformity pattern of asymmetric fractional factorials ⋮ Uniformity pattern of mixed two- and three-level factorials under average projection mixture discrepancy ⋮ Application of minimum projection uniformity criterion in complementary designs for \(q\)-level factorials ⋮ Uniformity pattern and related criteria for \(q\)-level factorials ⋮ Uniformity and projection uniformity of combined designs ⋮ Uniformity pattern and related criteria for mixed-level designs ⋮ A new foldover strategy and optimal foldover plans for three-level design ⋮ Uniformity pattern of \(q\)-level factorials under mixture discrepancy ⋮ Some applications of indicator function in two-level factorial designs ⋮ A Lower Bound for the Wrap-around L₂-discrepancy on Combined Designs of Mixed Two- and Three-level Factorials

Cites Work

• Uniformity in factorial designs with mixed levels
• On the optimality of chemical balance weighing designs
• Majorization framework for balanced lattice designs
• Optimality of certain asymmetrical experimental designs
• A note on construction of nearly uniform designs with large number of runs.
• Generalized minimum aberration for asymmetrical fractional factorial designs
• A note on uniformity and orthogonality
• Multiplier ideal sheaves in complex and algebraic geometry
• Minimum projection uniformity criterion and its application
• A lower bound for the centered \(L_2\)-discrepancy on asymmetric factorials and its application
• A generalized discrepancy and quadrature error bound
• Uniform designs limit aliasing
• Lower Bounds on the SymmetricL₂-Discrepancy and Their Application

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