비중심합성계획을 이용한 순차적 실험방법에 관한 연구 = A Study on Sequential Design of Experiments Using Non-Central Composite Designs

다국어 초록 (Multilingual Abstract)

Purpose: A noncentral composite design method is to be developed to explore farther region for the first factorial design. A general guideline for sequential experimentation is provided.
Methods: (1) A non-overlapping noncentral composite design (NNCD) is developed, in which the second factorial design shares one design point that indicates the best response value in the first factorial design. (2) Four composite designs are compared in terms of the four design evaluation criteria, which are D-, A, G, and I-optimality. (3) A follow-up design strategy is suggested based on the interaction effect, direction of improvement, number of factors.
Results: (1) NNCD and model building method are presented, which is useful for exploring farther region from first factorial design block. (2) The performances of the four composite designs are compared. (3) A follow-up design strategy is suggested.
Conclusion: (1) NNCD will be useful to explore farther region for the first factorial design. (2) A follow-up design strategy can be beneficial to the experimental practitioners for product and process design and improvement.

참고문헌 (Reference)

1 변재현, "혼합물 소재의 난연성 향상을 위한 실험연구 사례" 한국품질경영학회 47 (47): 631-639, 2019

2 정종희, "혼합물 반응표면분석에서 디자인 스페이스 구축을 위한 효율적인 실험계획" 한국품질경영학회 48 (48): 269-282, 2020

3 이현정, "단계적 실험 설계와 다차원 디자인 스페이스 분석 기술을 통한 초저온 SAW 공정의 최적 용접 파라미터 설계" 한국품질경영학회 48 (48): 51-68, 2020

4 Box, G. E. P, "The Exploration and Exploitation of Response Surfaces: Some General Considerations and Examples" 10 : 16-60, 1954

5 Vining, G. G, "Technical Advice : Design of Experiments, Response Surface Methodology, and Sequential Experimentation" 23 : 217-220, 2011

6 Box, G. E. P., "Statistics for Experimenters - Design, Innovation, and Discovery" Wiley 2005

7 Box, G. E. P, "Sequential Experimentation and Sequential Assembly of Designs" 5 : 321-330, 1992

8 Myers, R. H., "Response Surface Methodology: Process and Product Optimization Using Designed Experiments" Wiley 2009

9 Lucas, J. M, "Optimum Composite Designs" 16 : 561-567, 1974

10 Box, G. E. P., "On the Experimental Attainment of Optimum Conditions" 13 : 1-45, 1951

11 Mee, R. W, "Noncentral Composite Designs" 44 (44): 34-43, 2001

12 Edwards, D. J., "Compromise Ascent Directions for Multiple-Response Applications" 27 : 1107-1118, 2011

13 Mee, R. W., "A Comprehensive Guide to Factorial Two-Level Experimentation" Springer 2009