Orthogonal arrays obtained by generalized difference matrices with \(g\) levels

DOI10.1007/s11425-010-4144-yzbMath1216.62124OpenAlexW2010693863MaRDI QIDQ547341

Ying-Shan Zhang, Weiguo Li, Zhongguo Zheng, Shisong Mao

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4144-y

zbMATH Keywords

mixed-level orthogonal arrayspermutation matricesprojection matrices

Mathematics Subject Classification ID

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

Related Items (5)

Generalized Latin matrix and construction of orthogonal arrays ⋮ Schematic saturated orthogonal arrays obtained by using the expansive replacement method ⋮ Symmetrical Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-dimensional Model Representation ⋮ Asymmetrical Orthogonal Arrays With Run Size 100 ⋮ A class of mixed orthogonal arrays obtained from projection matrix inequalities

Cites Work

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• A simple method for constructing orthogonal arrays by the Kronecker sum
• Orthogonal arrays obtained by repeating-column difference matrices
• Orthogonal arrays. Theory and applications
• On finding mixed orthogonal arrays of strength 2 with many 2-level factors
• Construction of generalized Hadamard matrices \(D(r^m(r+1),r^m(r+1);p)\)
• Further results on the orthogonal arrays obtained by generalized Hadamard product
• Normal mixed difference matrix and the construction of orthogonal arrays
• Orthogonal Arrays of Strength two and three
• Orthogonal arrays obtained by generalized Hadamard product

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