Monitoring Process Dispersion without Subgrouping

César A. Acosta-Mejía · Joseph J. Pignatiello

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

In this paper we analyze several control charts suitable for monitoring process dispersion when subgrouping is not possible or not desirable. We compare the performances of a moving range chart, a cumulative sum (CUSUM) chart based on moving ranges, a CUSUM chart based on an approximate normalizing transformation, a self-starting CUSUM chart, a change-point CUSUM chart, and a exponentially weighted moving average chart based on the subgroup variance. The average run length performances of these charts are also estimated and compared.

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References

1986Optimal Stopping Times for Detecting Changes in Distributions 1972An Approach to the Probability Distribution of Cusum Run Length 1998Cumulative Sum Charts and Charting for Quality Improvement 1997Introduction to Statistical Quality Control 1989Statistical Methods for Quality Improvement 1987Self-Starting Cusum Charts for Location and Scale 1976The Design and Use of V-Mask Control Schemes 1981A Cusum for a Scale Parameter

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