반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법

Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors

  • Rheem, Sung-Sue (Department of Informational Statistics, Korea University) ;
  • Lee, Woo-Sun (Department of Statistics, Sungshin Women's University)
  • 발행 : 2005.03.31

초록

This article proposes a practical approach, which is based on the concept of the expected squared relative error, that can consider both the prediction quality and the practitioner's subjectivity in simultaneously optimizing multiple responses. Through a case study, multiresponse optimization using the expected squared relative error approach is illustrated, and the SAS program to implement the proposed method is provided.

키워드

참고문헌

  1. Ames, A. E., Mattucci, D., MacDonald, S., Szongi, G. and Hawkins, D. M.(1997), 'Quality Loss Functions for Optimization Across Multiple Response Surfaces', Journal of Quality Technology, Vol. 29, pp. 339-346
  2. Buck, A. J.(1999), Econometrics Lecture Notes, Seemingly Unrelated Regression, http://oll.temple.edu/economics/notes/seeminly/seeminly.HTM
  3. Derringer, D. and Suich, R.(1980), 'Simultaneous Optimization of Several Response Variables', Journal of Quality Technology, Vol. 12, pp. 214-219
  4. Khuri, A. I. and Conlon, M.(1981), 'Simultaneous Optimization of Multiple Response Represented by Polynomial Regression Functions', Technometrics, Vol. 23, pp. 363-375 https://doi.org/10.2307/1268226
  5. Khuri, A. I. and Cornell, J. A.(1996), Response Surfaces : Designs and Analyses, Dekker, New York
  6. Montgomery, D. C.(2000), Design and Analysis of Experiments, 5th Edition, John Wiley & Sons, New York
  7. Myers, R. H. and Montgomery, D. C.(2002). Response Surface Methodology : Process and Product Optimization Using Designed Experiments, 2nd Edition. John Wiley & Sons, New York
  8. SAS Institute(1999), SAS Version 8, SAS Institute, Cary, NC
  9. Vining, G. G.(1998), 'A Compromise Approach to Multiresponse Optimization', Journal of Quality Technology, Vol. 30, pp. 309-313
  10. Zellner, A.(1962), 'An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggregation Bias', Journal of the American Statistical Association, Vol. 57, pp. 348-368 https://doi.org/10.2307/2281644