JSM 2011 Online Program

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Abstract Details

Activity Number: 620
Type: Contributed
Date/Time: Thursday, August 4, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Quality and Productivity
Abstract - #302936
Title: A Bayesian Approach to Control Attributes
Author(s): Panagiotis Tsiamyrtzis*+
Companies: Athens University of Economics & Business
Address: Patission 76 (RC/AUEB), Athens, International, 10434, Greece
Keywords: Bayesian SPC ; Beta mixtures ; Phase I ; short runs

We consider a process for which one or more quality characteristics are used to classify the outcome as acceptable or not. As a result we obtain attribute data of Binomial type distribution with unknown "success probability" that expresses the percent of nonconforming. In this work we focus in modeling dynamically this probability and detect (in an online fashion) of whether it shifts to higher values (i.e. we have process degradation) or not. The modeling will be based on a sequentially updated mixture of Beta distributions that will allow the process readings to contribute as they become available, making the approach particularly attractive in case of Phase I, or in general short run, attribute data. Decision making and prediction issues will be provided.

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