A systematical procedure in the construction of multi-level supersaturated design.

DOI10.1016/S0378-3758(02)00116-7zbMath1127.62395OpenAlexW2057715104MaRDI QIDQ1395890

Xuan Lu, Wenbiao Hu, Yan Zheng

Publication date: 1 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00116-7

zbMATH Keywords

block designFactorial designResolvable balanced incompleteSaturated orthogonal design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (27)

Search for minimum aberration designs with uniformity ⋮ Multi-level \(k\)-circulant supersaturated designs ⋮ Construction of multi-level supersaturated design via Kronecker product ⋮ Construction of supersaturated design with large number of factors by the complementary design method ⋮ Optimal \(k\)-circulant supersaturated designs ⋮ A general construction of \(E(f_{NOD})\)-optimal multi-level supersaturated designs ⋮ Addition of runs to an \(s\)-level supersaturated design ⋮ Construction of equidistant and weak equidistant supersaturated designs ⋮ Construction methods for three-level supersaturated designs based on weighing matrices. ⋮ Optimal multi-level supersaturated designs through integer programming ⋮ Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting. ⋮ Extended mixed-level supersaturated designs ⋮ Optimal mixed-level supersaturated designs and a new class of combinatorial designs ⋮ Optimal mixed-level supersaturated design with general number of runs ⋮ Some combinatorial constructions for optimal mixed-level supersaturated designs ⋮ Computer aided construction of efficient multi-level supersaturated designs ⋮ On construction of optimal mixed-level supersaturated designs ⋮ Optimal multi-level supersaturated designs constructed from linear and quadratic functions ⋮ On multi-level supersaturated designs ⋮ Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels ⋮ An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays ⋮ GeneralizedE(s²) Criterion for Multilevel Supersaturated Designs ⋮ Optimal supersaturated designs for \(s^m\) factorials in \(N \not\equiv 0 \pmod s\) runs ⋮ Supersaturated designs for asymmetrical factorial experiments ⋮ Construction of some \(E(f_{NOD})\) optimal mixed-level supersaturated designs ⋮ Lower bounds for wrap-around \(L_2\)-discrepancy and constructions of symmetrical uniform designs ⋮ Construction of optimal multi-level supersaturated designs

Cites Work

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• Resolvable BIBD and SOLS
• Construction of three-level supersaturated design
• On resolvable balanced incomplete block designs
• Balanced incomplete block designs and related designs
• A new method in the construction of two-level supersaturated designs
• On the construction of multi-level supersaturated designs
• On resolvable designs
• An Algorithmic Approach to Constructing Supersaturated Designs
• Some Systematic Supersaturated Designs
• Construction of supersaturated designs through partially aliased interactions
• A method for constructing supersaturated designs and its Es² optimality
• Supersaturated design including an orthogonal base
• Generating Systematic Supersaturated Designs
• Supersaturated design with more than two levels

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