Constructing SPC Charts by Cumulative Square and Cumulative Variance Methodologies

Constructing SPC Charts by Cumulative Square and Cumulative Variance Methodologies The authors discuss the methodologies for constructing quality control charts by cumulative square and cumulative variance methodologies. These methodologies correspond to the EWMS and EWMV methods proposed by MacGregor and Harris (1993). Based on the distributions of the quality control chart statistics, we focus on the average (mean) cumulative square and average (mean) cumulative variance schemes to arrive at control limits appearing as parallel lines seen in stand Shewhart control charts. Last, we utilize the Box quadratic form and approximation to deal with the complexities of cumulative variance where means vary over time. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Economics and Management Engineering World Academic Publishing Co.

Constructing SPC Charts by Cumulative Square and Cumulative Variance Methodologies

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Publisher
THE WORLD ACADEMIC PUBLISHING CO. LIMITED
Copyright
Copyright © 2014, THE WORLD ACADEMIC PUBLISHING CO. LIMITED
ISSN
2225-742X
eISSN
2226-7344

Abstract

The authors discuss the methodologies for constructing quality control charts by cumulative square and cumulative variance methodologies. These methodologies correspond to the EWMS and EWMV methods proposed by MacGregor and Harris (1993). Based on the distributions of the quality control chart statistics, we focus on the average (mean) cumulative square and average (mean) cumulative variance schemes to arrive at control limits appearing as parallel lines seen in stand Shewhart control charts. Last, we utilize the Box quadratic form and approximation to deal with the complexities of cumulative variance where means vary over time.

Journal

International Journal of Economics and Management EngineeringWorld Academic Publishing Co.

Published: Dec 23, 2013

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