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근사직교배열의 직교성을 평가하기 위한 측도로서의 상호정보

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

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초록

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.

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.

참고문헌 (25)

  1. 장대흥, "근사직교배열의 직교성의 정도를 평가하기 위한 그래픽방법", 품질경영학회지, 32(4), pp.220~228 (2004), 한국품질경영학회
  2. Booth, K. H. V, "Some Systematic Supersaturated Designs", Technometrics, 4, pp.489~495 (1962)
  3. Brillinger, D. R., "Mutual Information in the Frequency Domain", Journal of Statistical Planning and Inference, 137, pp.1076~1084 (2007)
  4. Bulutoglu, D. A., "optimal Supersaturated Designs with Good Minimax Properties when  is Odd", Journal of Statistical Planning and Inference, . 138, pp.1754~1762 (2008)
  5. Butler, N.A., "Two-Level Supersaturated Designs for 2k Runs and Other Cases" (2008), Journal of Statistical Planning and Inference
  6. Chatterjee, K., "Supersaturated Designs with High Searching Probability", Journal of Statistical Planning and Inference, 138, pp.272~277 (2008)
  7. Chen, J, "Optimal Mixed-level Supersaturated Design with General Number of Runs" (2008), Statistics and Probability Letters, to appear
  8. Das,A., "On E(S2)-optimal Supersaturated Designs", Journal of Statistical Planning and Inference, 138, pp.3749~3757 (2008)
  9. Dionisio, A., "Mutual Information: A Measure of Dependency for Nonlinear Time Series", Physica A, 344, pp.326~329 (2004)
  10. Fang, K. T., "Optimal Mixed-level Supersaturated Design", Metrika, 58, pp.279~291 (2003)
  11. Fang, K. T., "Uniform Design:Theory and Application", Technometrics, 42, pp.237~248 (2000)
  12. Fang, K. T., "Lower Bounds of Various Criteria in Experimental Designs", Journal of Statistical Planning and Inference, 138, pp.184~195 (2008)
  13. Jang, D.H., "Measures for Evaluating Non-orthogonality of Experimental Designs", Communications in Statistics-Theory and Methods, 31, pp.249~260 (2002)
  14. Jones, B. A., "Bayesian D-optimal Supersaturated Designs", Journal of Statistical Planning and Inference, 138, pp.86~92 (2008)
  15. Jones, B. A., "Model-Robust Supersaturated and Partially-Supersaturated Designs" (2008), Journal of Statistical Planning and Inference
  16. Koukouvinos, C., "A Method for Analyzing Supersaturated Designs with a Block Orthogonal Structure", Communications in Statistics-Simulation and Computation, 37, pp.290~300 (2008)
  17. Koukouvinos, C., "A Hybrid SAGA Algorithm for the Construction of E(S2)-optimal Cyclic Supersaturated Designs" (2008), Journal of Statistical Planning and Inference
  18. Koukouvinos, C., "E(S2)-optimal and Minimaxoptimal Cyclic Supersaturated Designs via Multi-objective Simulated Annealing", Journal of Statistical Planning and Inference, 138, pp.1639~1646 (2008)
  19. Ma, C., "A New Approach in Constructing Orthogonal and Nearly Orthogonal Arrays", Metrika, 50, pp.255~268 (2000)
  20. Nguyen, N. K., "New E(S2)-optimal Supersaturated Designs Constructed from Incomplete Block Designs", Technometrics, 50, pp.26~31 (2008)
  21. Plackett, R. L, "The Design of Optimum Multifactorial Experiments", Biometrika, 33, pp.305~325 (1946)
  22. Siomina, I, "Lean Optimization Using Supersaturated Experimental Design", Applied Numerical Mathematics, 58, pp.1~15 (2008)
  23. Wang, J.C., "Nearly Orthogonal Arrays with Mixed Levels and Small Runs", Technometrics, 34, pp.409~422 (1992)
  24. Yamada, S., "Three-levelSupersaturated Designs", Statistics and Probability Letters, 45, pp.31~39 (1999)
  25. Zhang, Q. Z., "A Method for Screening Active Effects in Supersaturated Designs", Journal of Statistical Planning and Inference, 137, pp.2068~2079 (2006)

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