Orthogonal arrays of strength 3 and small run sizes

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Orthogonal Arrays of Strength 3 and Small Run Sizes

All mixed (or asymmetric) orthogonal arrays of strength 3 with run size at most 64 are determined.

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Enumeration of Strength 3 Mixed Orthogonal Arrays

We introduce methods for enumerating mixed orthogonal arrays of strength 3. We determine almost all mixed orthogonal arrays of strength 3 with run size up to 100.

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Orthogonal Arrays of Strength 3 Donald

A new construction for orthogonal arrays of strength 3 is given.

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The Lattice of N-Run Orthogonal Arrays

If the number of runs in a (mixed-level) orthogonal array of strength 2 is specified, what numbers of levels and factors are possible? The collection of possible sets of parameters for orthogonal arrays with N runs has a natural lattice structure, induced by the “expansive replacement” construction method. In particular the dual atoms in this lattice are the most important parameter sets, since...

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Enumeration of binary orthogonal arrays of strength 1

A k2m×n (0,1) matrix is called a binary orthogonal array of strength m if in any m columns of the matrix every one of the possible 2 ordered (0,1) m-tuples occurs in exactly k rows and no two rows are identical. In this paper, the enumeration of binary orthogonal arrays is studied, and a closed expression for the enumeration of binary orthogonal arrays of strength 1 is given using the inclusion...

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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2006

ISSN: 0378-3758

DOI: 10.1016/j.jspi.2004.12.012