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Mutual Information as a Criterion for Evaluating the Degree of the Orthogonality of Nearly Orthogonal Arrays  

Jang, Dae-Heung (Division of Mathematical Sciences, Pukyong National University)
Publication Information
Journal of Korean Society for Quality Management / v.36, no.3, 2008 , pp. 13-21 More about this Journal
Abstract
The orthogonality is an important property in the experimental designs. When we use nearly orthogonal arrays(for example, supersaturated designs), we need evaluate the degree of the orthogonality of given nearly orthogonal arrays. We can use the mutual information as a new criterion for evaluating and testing the degree of the orthogonality of given nearly orthogonal arrays.
Keywords
Nearly Orthogonal Arrays; Evaluation of the Orthogonality; Mutual Information;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Booth, K. H. V. and Cox, D. R.(1962), 'Some Systematic Supersaturated Designs', Technometrics, Vol. 4, 489-495   DOI
2 Bulutoglu, D. A. and Ryan, K. J.(2008), $E_(s^{2})$'-optimal Supersaturated Designs with Good Minimax Properties when is Odd', Journal of Statistical Planning and Inference, Vol. 138, 1754-1762   DOI   ScienceOn
3 Chen, J. and Liu, M. Q.(2008), 'Optimal Mixed-level Supersaturated Design with General Number of Runs', Statistics and Probability Letters, to appear
4 Fang, K. T., Tang, Y. and Yin, J.(2008), 'Lower Bounds of Various Criteria in Experimental Designs', Journal of Statistical Planning and Inference, Vol. 138, 184-195   DOI   ScienceOn
5 Jang, D. H.(2002), 'Measures for Evaluating Non-orthogonality of Experimental Designs', Communications in Statistics-Theory and Methods, Vol. 31, 249-260   DOI   ScienceOn
6 Siomina, I. and Ahlinder, S.(2008), 'Lean Optimization Using Supersaturated Experimental Design', Applied Numerical Mathematics, Vol. 58, 1-15   DOI   ScienceOn
7 Wang, J. C. and Wu, C. F. J.(1992), 'Nearly Orthogonal Arrays with Mixed Levels and Small Runs', Technometrics, Vol. 34, 409-422   DOI
8 Brillinger, D. R. and Guha, A.(2007), 'Mutual Information in the Frequency Domain', Journal of Statistical Planning and Inference, Vol. 137, 1076-1084   DOI   ScienceOn
9 Koukouvinos, C., Mylona, K. and Simos, D. E. (2008), '$E_(s^{2})$-optimal and Minimaxoptimal Cyclic Supersaturated Designs via Multi-objective Simulated Annealing', Journal of Statistical Planning and Inference, Vol. 138, 1639-1646   DOI   ScienceOn
10 Nguyen, N. K. and Cheng, C. S.(2008), 'New $E_(s^{2})$-optimal Supersaturated Designs Constructed from Incomplete Block Designs', Technometrics, Vol. 50, 26-31   DOI   ScienceOn
11 Chatterjee, K., Sarkar, A. and Lin, D. K. J.(2008), 'Supersaturated Designs with High Searching Probability', Journal of Statistical Planning and Inference, Vol. 138, 272-277   DOI   ScienceOn
12 Plackett, R. L. and Burman, J. P.(1946), 'The Design of Optimum Multifactorial Experiments', Biometrika, Vol. 33, 305-325   DOI   ScienceOn
13 Butler, N. A.(2008), 'Two-Level Supersaturated Designs for $2^k$ Runs and Other Cases', Journal of Statistical Planning and Inference, to appear
14 장대흥(2004), '근사직교배열의 직교성의 정도를 평가하기 위한 그래픽방법', 한국품질경영학회지, 32권 4호, 220-228
15 Jones, B. A., Lin, D. K. J. and Nachtsheim, C. J.(2008), 'Bayesian D-optimal Supersaturated Designs', Journal of Statistical Planning and Inference, Vol. 138, 86-92   DOI   ScienceOn
16 Koukouvinos, C., Mylona, K.(2008), 'A Method for Analyzing Supersaturated Designs with a Block Orthogonal Structure', Communications in Statistics-Simulation and Computation, Vol. 37, 290-300   DOI   ScienceOn
17 Koukouvinos, C., Mylona, K. and Simos, D. E. (2008), 'A Hybrid SAGA Algorithm for the Construction of $E_(s^{2})$-optimal Cyclic Supersaturated Designs', Journal of Statistical Planning and Inference, to appear
18 Yamada, S. and Lin, D. K. J.(1999), 'Three-level Supersaturated Designs', Statistics and Probability Letters, Vol. 45, 31-39   DOI   ScienceOn
19 Ma, C., Fang, K. T., and Liski, E.(2000), 'A New Approach in Constructing Orthogonal and Nearly Orthogonal Arrays', Metrika, Vol. 50, 255-268   DOI
20 Zhang, Q. Z., Zhang, R. C. and Liu, M. Q.(2006), 'A Method for Screening Active Effects in Supersaturated Designs', Journal of Statistical Planning and Inference, Vol. 137, 2068-2079   DOI   ScienceOn
21 Dionisio, A., Menezes, R. and Mendes, D. A.(2004), 'Mutual Information: A Measure of Dependency for Nonlinear Time Series', Physica A, Vol. 344, 326-329   DOI   ScienceOn
22 Fang, K. T., Lin, D. K. J. and Liu, M.(2003), 'Optimal Mixed-level Supersaturated Design', Metrika, Vol. 58, 279-291   DOI
23 Fang, K. T., Lin, D. K. J., Winker, P., and Zhang, Y.(2000), 'Uniform Design: Theory and Application', Technometrics, Vol. 42, 237-248
24 Jones, B. A., Li, W., Nachtsheim, C. J. and Ye, K. Q.(2008), 'Model-Robust Supersaturated and Partially-Supersaturated Designs', Journal of Statistical Planning and Inference, to appear
25 Chen, J. and Liu, M. Q.(2008), 'Optimal Mixed-level k-circulant Supersaturated Designs', Journal of Statistical Planning and Inference, Vol. 138, 4151-4157   DOI   ScienceOn
26 Das, A., Dey, A., Chan, L. Y. and Chatterjee, K.(2008), 'On $E_(s^{2})$-optimal Supersaturated Designs', Journal of Statistical Planning and Inference, Vol. 138, 3749-3757   DOI   ScienceOn