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On orthogonal arrays attaining Rao's bounds
Institution:1. School of Materials Science and Engineering, Harbin Institute of Technology, P.O. Box 1405, NO. 66 West Dazhi Street, Harbin 150001, China;2. R & D Center, China Star Optoelectronics Technology Co., Ltd., NO. 92,Tangming Road, Shenzhen, 518132, China;1. Department of Statistics, The Pennsylvania State University, State College, PA, 16802, United States of America;2. Department of Economics, University of Giessen, Licher Strasse 64, 35394, Giessen, Germany;3. Department of Statistics, Purdue University, West Lafayette, IN, 47907, United States of America
Abstract:Rao (1947) provided two inequalities on parameters of an orthogonal array OA(N,m,s,t). An orthogonal array attaining these Rao bounds is said to be complete. Noda (1979) characterized complete orthogonal arrays of t=4 (strength). We here investigate complete orthogonal arrays with s=2 (levels) and general t; and with t=2, 3 and general s.
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