혼합물 반응표면분석에서 디자인 스페이스 구축을 위한 효율적인 실험계획
Efficient Designs to Develop a Design Space in Mixture Response Surface Analysis
- 주제(키워드) Quality by Design(QbD) , Design Space , Tolerance Interval , Practical Efficient Mixture Designs
- 주제(기타) 자연과학
- 설명문(URI) https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002595153
- 등재 KCI등재
- 발행기관 한국품질경영학회
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000169662
- 본문언어 한국어
- Published As https://dx.doi.org/10.7469/JKSQM.2020.48.2.269
초록/요약
Purpose: The practical design for experiments with mixtures of components is consisted in the four types of design points, vertex, center of edge, axial, and center points in a -dimensional simplex space. We propose a sequential method for the successful construction of the design space in Quality by Design (QbD) by allowing the different number of replicates at the four types of design points in the practical design when the quadratic canonical polynomial model is assumed. Methods: To compare the mixture designs efficiency, fraction of design space (FDS) plot is used. We search for the practical mixture designs whose the minimal half-width of the tolerance interval per a standard deviation, which is denoted as , is less than 4.5 at 0.8 fraction of the design space. They are found by adding the different number of replicates at the four types of the design points in the practical design. Results: The practical efficient mixture designs for the number of components between three and five are listed. The sequential method to establish a design space is illustrated with the two examples based on the simulated data. Conclusion: The designs with the center of edge points replications are more efficient than those with the vertex points replication. We propose the sample size of at least 23 for three components, 28 for four components, and 33 for the five components based on the list of efficient mixture designs.
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