JSM 2011 Online Program

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Abstract Details

Activity Number: 454
Type: Topic Contributed
Date/Time: Wednesday, August 3, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Quality and Productivity
Abstract - #301034
Title: Monitoring Process Capability Indices
Author(s): Ejaz Syed Ahmed*+ and Abdul K. Hussein
Companies: University of Windsor and University of Windsor
Address: , windsor, ON, n9b 3p4, canada
Keywords: Process Capability ; Sequential testing ; Brownian motion
Abstract:

A Process Capability Index (PCI) is a numeric summary that compares the behavior of a product or process characteristics to engineering specifications. We propose a sequential procedure for testing whether two processes are equally capable by using. We employ a nonsequential Wald-type statistic and provide its sequential version by Brownian motion approximations. We point out that, as a byproduct, the nonsequential Wald-type statistic used here, provides an easily computable alternative to Boyels' approximate F-test (Boyels 1991). We give an algorithm for conducting the sequential test and we examine its performance by Monte Carlo simulations. Finally, we illustrate the method by testing capability improvement of an industrial process before and after calibration based on published data.


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