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A new approach in constructing orthogonal and nearly orthogonal arrays |
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| Authors: | Chang-Xing Ma Kai-Tai Fang Erkki Liski |
| Institution: | (1) Department of Statistics, Nankai University, Tianjin, 300071, China (e-mail: cxma@nankai.edu.cn), CN;(2) Department of Mathematics, Hong Kong Baptist University, Hong Kong (e-mail: ktfang@hkbu.edu.hk), HK;(3) Chinese Academy of Sciences, Beijing, China, CN;(4) Department of Mathematics, Statistics and Philosophy, University of Tampere, P.O. Box 607, 33101, Tampere, Finland (e-mail: epl@uta.fi), FI |
| 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. Received: September 1999 |
| Keywords: | :D-efficiency experimental design nearly orthogonal arrays orthogonal arrays threshold accepting |
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