The Statistical Evaluation of a Binary Test Based on Combined Samples. Issue 1 (1st January 2016)

• Record Type: Journal Article
• Authors: Erdmann, Tashi P.; Akkerhuis, Thomas S.; De Mast, Jeroen; Steiner, Stefan H.
• Is Part Of: Journal of quality technology. Volume 48:Issue 1(2016)
• Page Start: 54
• Page End: 67
• Publication Date: 2016-01-01
• Subjects: Accuracy of Diagnostic Tests -- Latent-Variable Model -- Measurement Reliability -- Measurement System Analysis -- Pass/Fail Inspection; Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2016.11918151
• Languages: English
• ISSNs: 0022-4065

Abstract

Abstract : The statistical evaluation of the reliability of binary tests and inspections is a challenging endeavor. In this paper, we propose an approach for the common situation where the true condition of the inspected items is unobservable ("gold-standard unavailable"), the probabilities of false acceptance and false rejection vary across items, and rejections are relatively rare. Our approach fits a latent-variable model, where the variability in misclassification probabilities is driven by a continuous property of a part. To deal with the low prevalence of rejections, we propose sampling items from multiple sources. The performance and properties of the estimators are assessed using simulation, asymptotic approximations, and a real-life case at a car-parts manufacturer.