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design of experiments useful orthogonal arrays for number of experiments from 4 to 16实验设计有用的正交阵列实验数量从4到16
Entropy 2007, 9, 198-232 entropy ISSN 1099-4300 © 2007 by MDPI /entropy Full Paper Design of Experiments: Useful Orthogonal Arrays for Number of Experiments from 4 to 16 1, 2 Sorana D. Bolboacă * and Lorentz Jäntschi 1 Iuliu Hatieganu University of Medicine and Pharmacy Cluj-Napoca, 6 Louis Pasteur, 400349 Cluj- Napoca, Romania; E-mail: sbolboaca@umfcluj.ro 2 Technical University of Cluj-Napoca, 103-105 Muncii Bvd., 400641 Cluj-Napoca, Romania; E-mail: lori@ * Author to whom correspondence should be addressed. E-mail: sbolboaca@umfcluj.ro Received: 22 August 2007 / Accepted: 2 November 2007 / Published: 31 December 2007 Abstract: A methodology for the design of an experiment is proposed in order to find as many schemes as possible with the maximum number of factors with different levels for the smallest number of experimental runs. An algorithm was developed and homemade software was implemented. The abilities in generation of the largest groups of orthogonal arrays were analyzed for experimental runs of 4, 6, 8, 9, 10, 12, 14, 15, and 16. The results show that the proposed method permits the construction of the largest groups of orthogonal arrays with the maximum number of factors. Keywords: Design of experiment, orthogonal arrays, Taguchi method. AMS Classification: 05B15 Orthogonal arrays, Latin squares, Room squares, 94C12 Fault detection; testing, 11Y35 Analytic computations, 11Y40 Algebraic
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