Proceedings of the Korean Society for Quality Management Conference (한국품질경영학회:학술대회논문집)
- 2009.10a
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- Pages.3-10
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- 2009
Design of Screening Procedures Using a Surrogate Variable with Specified Producer's and Consumer's Risks
대용특성을 활용한 규준형 스크리닝 절차의 설계
- Hong, Sung-Hoon (Department of Industrial & Information Systems Engineering, Chonbuk National University) ;
- Jung, Min-Young (Department of Industrial & Information Systems Engineering, Chonbuk National University)
- Published : 2009.10.31
Abstract
When the measurement method for a performance variable is destructive or expensive, it is profitable to replace the performance variable with a highly correlated surrogate variable. In this paper we propose screening procedures using a surrogate variable with specified producer's and consumer's risks. Blending the basic concepts of acceptance sampling plans and screening procedures, the proposed model can be used effectively by quality professionals. Two models are considered: the normal model with dichotomous performance and continuous surrogate variables, and the bivariate normal model with continuous performance and surrogate variables. It is assumed the surrogate variable given the performance variable is normally distributed in the normal model, and performance and surrogate variables are jointly normally distributed in the bivariate normal model. For the two models, Producer's and consumer's risks are derived, and methods of finding the optimal screening procedures are presented. Numerical examples are also given.