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Orthogonal array

In mathematics, an orthogonal array (more specifically, a fixed-level orthogonal array) is a table ("array") whose entries come from a fixed finite set of symbols (for example, {1,2,...,v}), arranged in such a way that there is an integer t so that for every selection of t columns of the table, all ordered t-tuples of the symbols, formed by taking the…

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Secret sharingSecretFactorial experimentFractional factorial designTaguchi methods
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History

C. R. Rao
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Definition

V-setFinite fieldVector space
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Latin squares, Latin cubes and Latin hypercubes

IsotopicPermutationExamples
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Mutually orthogonal Latin squares

Latin squares, Latin cubes and Latin hypercubes

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Other constructions

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Orthogonal array

Nodes51
Edges50
Triples147
Avg. degree1.96
Density0.039216
Components1

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Orthogonal array

Top relations

related to References · 78
Orthogonal array → Academic Press, Agric, American Supplier Institute, An Introduction, Analysis, Anne Penfold, Applications, Block Designs, Box, Bulletin, Bush, Calcutta Mathematical Society, Clarendon, Combinatorial Designs, Combinatorial Problems, Combinatorial Theory, Combinatorics, Constructions, CS1, Current Science
related to Mutually orthogonal Latin squares · 12
Orthogonal array → An OA, Because, Choose, For, Here, Hyper-Graeco-Latin, Latin, Let, OA, Such, Take, The
related to External links · 10
Orthogonal array → Hyper-Graeco-Latin, Institute, Orthogonal Arrays, PROC FACTEXKuhfeld, SAS, SAS Institute Inc, Standards, Technology, This, Warren
related to Quality control · 9
Orthogonal array → Genichi Taguchi, His, Indian, Indian Statistical Institute, Japanese, Orthogonal, Taguchi, Taguchi's, US
related to history · 8
Orthogonal array → Bush, Hedayat, Kishen, Latin, Rao, Sloane, Stufken, The
related to Hadamard matrices · 6
Orthogonal array → Delete, Hadamard, OA, The, There, To
related to Latin squares · 6
Orthogonal array → Actually, As, For, However, Latin, OA
related to Factorial designs · 5
Orthogonal array → An, For, In, The, When
related to Terminology and notation · 5
Orthogonal array → Here, In, OA, The, This
related to Definition · 4
Orthogonal array → For, In, OA, The

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orthogonal array columns oa latin arrays strength example order one design number ordered mutually squares rows set two first designs

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SubjectPredicateObjectConfidenceSrc
Orthogonal arrayrelated to DefinitionFor0.60section
Orthogonal arrayrelated to DefinitionOA0.60section
Orthogonal arrayrelated to DefinitionThe0.60section
Orthogonal arrayrelated to DefinitionIn0.60section
Orthogonal arrayrelated to External linksHyper-Graeco-Latin0.60section
Orthogonal arrayrelated to External linksSAS0.60section
Orthogonal arrayrelated to External linksPROC FACTEXKuhfeld0.60section
Orthogonal arrayrelated to External linksWarren0.60section
Orthogonal arrayrelated to External linksOrthogonal Arrays0.60section
Orthogonal arrayrelated to External linksSAS Institute Inc0.60section
Orthogonal arrayrelated to External linksThis0.60section
Orthogonal arrayrelated to External linksInstitute0.60section

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