Some Ideas for Computer Construction of Orthogonal Arrays

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Construction of some new families of nested orthogonal arrays

Nested orthogonal arrays have been used in the design of an experimental setup consisting of two experiments, the expensive one of higher accuracy being nested in a larger and relatively less expensive one of lower accuracy. In this paper, we provide new methods of construction of two types of nested orthogonal arrays. MSC: 62K15

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A general method for constructing asymmetric orthogonal arrays of arbitrary strength is proposed. Application of this method is made to obtain several new families of tight asymmetric orthogonal arrays of strength three. A procedure for replacing a column with 2 symbols in an orthogonal array of strength three by several 2-symbol columns, without disturbing the orthogonality of the array, leads...

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Nested orthogonal arrays are useful in obtaining space-filling designs for an experimental set up consisting of two experiments, the expensive one of higher accuracy to be nested in a larger inexpensive one of lower accuracy. Systematic construction methods of some families of symmetric and asymmetric nested orthogonal arrays were provided recently by Dey [Discrete Math. 310 (2010), 2831–2834]....

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ژورنال

عنوان ژورنال: Japanese journal of applied statistics

سال: 1987

ISSN: 0285-0370,1883-8081

DOI: 10.5023/jappstat.16.141