caa a22 4500 475792998 CHVBK 20180406123715.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/s001840050049 doi (NATIONALLICENCE)springer-10.1007/s001840050049 A new approach in constructing orthogonal and nearly orthogonal arrays [Elektronische Daten] [Chang-Xing Ma, Kai-Tai Fang, Erkki Liski] 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. Springer-Verlag Berlin Heidelberg, 2000 Key words:D-efficiency nationallicence experimental design nationallicence nearly orthogonal arrays nationallicence orthogonal arrays nationallicence threshold accepting nationallicence Ma Chang-Xing Department of Statistics, Nankai University, Tianjin, 300071, China (e-mail: cxma@nankai.edu.cn), CN aut Fang Kai-Tai Department of Mathematics, Hong Kong Baptist University, Hong Kong (e-mail: ktfang@hkbu.edu.hk), HK aut Liski Erkki Department of Mathematics, Statistics and Philosophy, University of Tampere, P.O. Box 607, 33101, Tampere, Finland (e-mail: epl@uta.fi), FI aut https://doi.org/10.1007/s001840050049 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840050049 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ma Chang-Xing Department of Statistics, Nankai University, Tianjin, 300071, China (e-mail: cxma@nankai.edu.cn), CN aut NATIONALLICENCE 700 1- Fang Kai-Tai Department of Mathematics, Hong Kong Baptist University, Hong Kong (e-mail: ktfang@hkbu.edu.hk), HK aut NATIONALLICENCE 700 1- Liski Erkki Department of Mathematics, Statistics and Philosophy, University of Tampere, P.O. Box 607, 33101, Tampere, Finland (e-mail: epl@uta.fi), FI aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer