A linear programming bound for orthogonal arrays with mixed levels

DOI10.1016/S0378-3758(96)00025-0zbMath0873.05023OpenAlexW2092198847MaRDI QIDQ1361727

N. J. A. Sloane, John Stufken

Publication date: 20 October 1997

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(96)00025-0

zbMATH Keywords

orthogonal arrayslinear programming boundmixed levels

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (19)

Theory of minimum aberration blocked regular mixed factorial designs ⋮ A search of maximum generalized resolution quaternary-code designs via integer linear programming ⋮ Theory of optimal blocking of nonregular factorial designs ⋮ On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2 ⋮ A linear programming bound for orthogonal arrays with mixed levels ⋮ Construction of uniform \(U\)-designs ⋮ Generalized wordtype pattern for nonregular factorial designs with multiple groups of factors ⋮ Design of experiments: useful orthogonal arrays for number of experiments from 4 to 16 ⋮ A note on the connection between uniformity and generalized minimum aberration ⋮ Exact solutions to linear programming problems ⋮ An application of information theory and error-correcting codes to fractional factorial experiments ⋮ Uniformity in factorial designs with mixed levels ⋮ Commutative association schemes ⋮ Theory of optimal blocking of \(2^{n-m}\) designs ⋮ Generalized minimum aberration for asymmetrical fractional factorial designs ⋮ Generalized minimum aberration for asymmetrical fractional factorial designs. ⋮ The lattice of \(N\)-run orthogonal arrays ⋮ A Scientific Tour on Orthogonal Arrays ⋮ Characterization of minimum aberration mixed factorials in terms of consulting designs

Uses Software

• AMPL
• CPLEX

Cites Work

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• Construction of \(2^ m4^ n\) designs via a grouping scheme
• Orthogonal arrays with variable numbers of symbols
• On the construction of asymmetrical orthogonal arrays
• A linear programming bound for orthogonal arrays with mixed levels
• Some Main-Effect Plans and Orthogonal Arrays of Strength Two
• Some Orthogonal Main-Effect Plans for Asymmetrical Factorials
• The Geometry of Two-Weight Codes
• Mixed orthogonal arrays for variance estimation with unequal numbers of primary selections per stratum
• Nearly Orthogonal Arrays with Mixed Levels and Small Runs

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