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Design of Screening Procedures Using a Surrogate Variable with Specified Producer's and Consumer's Risks  

Hong, Sung-Hoon (Department of Industrial & Information Systems Engineering, Chonbuk National University)
Jung, Min-Young (Department of Industrial & Information Systems Engineering, Chonbuk National University)
Publication Information
Journal of Korean Society for Quality Management / v.37, no.4, 2009 , pp. 23-30 More about this Journal
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.
Keywords
Performance Variable; Quality Inspection; Screening Procedures; Surrogate Variable;
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Times Cited By KSCI : 2  (Citation Analysis)
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