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Activity Number: 268
Type: Topic Contributed
Date/Time: Tuesday, August 8, 2006 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #305878
Title: Distribution-Free Quality Control Charts Based on Signed-Rank-Like Statistics
Author(s): Saad Bakir*+
Companies: Alabama State University
Address: 2405 Reston Place, Montgomery, AL, 36117,
Keywords: average run length ; control sequence ; nonparametric ; robustness ; Shewhart
Abstract:

In this article, we propose three distribution-free (or nonparametric) statistical quality control charts for monitoring a process center when an in-control target center is not specified. These charts are of the Shewhart-type, the exponentially moving average-type, and the cumulative sum-type. The constructions of the proposed charts require the availability of an initial reference sample taken when the process was operating in-control to calculate an estimator for the unknown in-control target process center. This estimated center is then used in the calculation of signed-rank-like statistics based on grouped observations taken from the process output periodically. As long as the in-control process underlying distribution is continuous and symmetric, the proposed charts have a constant in-control average run length irrespective of the process underlying distribution.


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