Orthogonal arrays of strength three from regular 3-wise balanced designs

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Orthogonal arrays of strength three from regular 3 - wise balanced designsCharles

The construction given in 4] is extended to obtain new innnite families of orthogonal arrays of strength 3. Regular 3-wise balanced designs play a central role in this construction.

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Balanced Arrays of Strength Two from Block Designs

Some constructions of balanced arrays of strength two are provided by use of rectangular designs, group divisible designs, and nested balanced incomplete block designs. Some series of such arrays are also presented as well as orthogonal arrays, with illustrations. # 2002 Wiley Periodicals, Inc. J Combin Designs 10: 303–312, 2002; Published online in Wiley InterScience (www.interscience.wiley.co...

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t-Wise Balanced Designs

Steiner 3-wise balanced designs are constructed for parameters 3-(3n − 1, {4, 8}, 1), 3(qnm− qm, {q− 1, q, q+ 1}, 1), 3-(qnm− 2qm− 1, {qm− 3, qm− 2, qm− 1, qm, qm+ 1}, 1), 3-(qnm − 2qm, {qm − 3, qm − 2, qm − 1, qm, qm + 1}, 1), 3-(qnm − 2qm + 1, {qm − 3, qm − 2, qm−1, qm, qm+1}, 1), where q is a prime power and n ≥ 2, m ≥ 1 are integers. Further designs are obtained from these. © 2008 Elsevier ...

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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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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2002

ISSN: 0378-3758

DOI: 10.1016/s0378-3758(01)00133-1