JSM 2011 Online Program

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Abstract Details

Activity Number: 254
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Quality and Productivity
Abstract - #300854
Title: Process Control When Items Are Subject to Misclassification
Author(s): William S. Griffith*+ and Michelle L. DePoy Smith
Companies: University of Kentucky and Eastern Kentucky University
Address: Department of Statistics, Lexington, KY, 40506,
Keywords: Acceptance Sampling ; Attribute ; Misclassification ; Process Control ; Runs
Abstract:

Various papers have considered the possibility of misclassification of items when they are inspected. In this paper, we consider online process control in which every hth item is inspected. The item is subjected to repeated independent classifications and will be ultimately judged to be a conforming item if there are k consecutive judgments that it is conforming prior to total of f judgments that it is nonconforming. When the item is ultimately judged to be nonconforming, the process is stopped and a search for a cause is conducted. If no cause is found the process is put back online. When the item is judged as conforming, the process continues. There is a possibility of misclassification of a conforming item as nonconforming and a nonconforming item as conforming. We will derive the probabilities of several quantities of interest for this model.


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