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ESTIMATION OF THE CHANGE POINT OF THE PROCESS FRACTION NONCONFORMING IN SPC APPLICATIONS

MARCUS B. PERRY

Air Force Institute of Technology, Department of Operational Sciences, Wright-Patterson AFB OH 45433-7745, USA

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and

JOSEPH J. PIGNATIELLO, Jr.

Florida State University, Florida A&M University, Department of Industrial Engineering, Tallahassee, FL 32310-6046, USA

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https://doi.org/10.1142/S0218539305001719Cited by:22 (Source: Crossref)

Abstract

Knowing when a process has changed would simplify the search for and identification of the special cause. In this paper, we compare the maximum likelihood estimator (MLE) of the process change point (that is, when the process changed) to built-in change point estimators from binomial CUSUM and EWMA control charts. We conclude that it is better to use the maximum likelihood change point estimator when a CUSUM or EWMA control chart signals a change in the process fraction nonconforming. The results show that the MLE provides process engineers with an accurate and useful estimate of the last subgroup from the unchanged process.

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