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A new approach in constructing orthogonal and nearly orthogonal arrays

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Abstract.

Orthogonal arrays have been constructed by a number of mathematical tools such as orthogonal Latin squares, Hadamard matrices, group theory and finite fields. Wang and Wu (1992) proposed the concept of a nearly orthogonal array and found a number of such arrays with high efficiency. In this paper we propose some criteria for non-orthogonality and two algorithms for the construction of orthogonal and nearly orthogonal arrays evincing higher efficiency than that obtained by Wang and Wu.

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Authors and Affiliations

  1. Department of Statistics, Nankai University, Tianjin, 300071, China (e-mail: cxma@nankai.edu.cn), , , , , , CN

    Chang-Xing Ma

  2. Department of Mathematics, Hong Kong Baptist University, Hong Kong (e-mail: ktfang@hkbu.edu.hk), , , , , , HK

    Kai-Tai Fang

  3. Department of Mathematics, Statistics and Philosophy, University of Tampere, P.O. Box 607, 33101, Tampere, Finland (e-mail: epl@uta.fi), , , , , , FI

    Erkki Liski

Authors
  1. Chang-Xing Ma
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  2. Kai-Tai Fang
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  3. Erkki Liski
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Received: September 1999

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Ma, CX., Fang, KT. & Liski, E. A new approach in constructing orthogonal and nearly orthogonal arrays. Metrika 50, 255–268 (2000). https://doi.org/10.1007/s001840050049

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  • DOI: https://doi.org/10.1007/s001840050049

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