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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 27, 1995 - Issue 2
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Articles

Decomposition of T2 for Multivariate Control Chart Interpretation

Robert L. MasonSouthwest Research Institute, San Antonio, TX78228-0510View further author information
,
Nola D. TracyMcNeese State University, Lake Charles, LA70609-2340View further author information
&
John C. YoungMcNeese State University, Lake Charles, LA70609-2340View further author information
Pages 99-108 | Published online: 21 Feb 2018
 
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Abstract

Multivariate control charts using Hotelling's T2 statistic are popular and easy to use but interpreting their signals can be a problem. Identifying which characteristic or group of characteristics is out of control when the chart signals often necessitates an examination of the univariate charts for each variable. It is shown in this paper that the interpretation of a signal from a T2 statistic is greatly aided if the corresponding value is partitioned into independent parts. Information on which characteristic is significantly contributing to the signal is readily available from this decomposition.

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Notes on contributors

Robert L. Mason

Dr. Mason is Manager of the Statistical Analysis Section. He is a Senior Member of ASQC.

Nola D. Tracy

Dr. Tracy is an Associate Professor in the Department of Mathematics, Computer Science, and Statistics. She is a Member of ASQC.

John C. Young

Dr. Young is a Professor in the Department of Mathematics, Computer Science, and Statistics.

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