PRACTICAL DECOMPOSITION METHOD FOR T2 HOTELLING CHART
DOI:
https://doi.org/10.23055/ijietap.2013.20.5-6.684Keywords:
Decomposition method, T2 Hotelling chart, Mahalanobis distance, Multivariate controlAbstract
In multivariate control process, the T2 Hotelling chart is the most useful, unfortunately, until now there was not an efficient decomposition method when the chart signals. The MTY method (Mason, Tracy and Young) is the most used method, but unfortunately it does not present a not unique decomposition and it is complex when there are many variables. In particular the estimated Mahalanobis distance (MD) and its decomposition for an out of control signal, not hold. In this article, by considering the inverse of the covariance matrix of phase I as a standard one, a practical decomposition method based on the relations of each pair of variables in this inverse matrix, is proposed. Results of its application show that the decomposition holds with the estimated MD, and that, let us to separate the contribution of each individual variable; in contribution due the variance and contribution due the correlation.
Published
How to Cite
Issue
Section
License
The Author(s) must formally transfer each article's copyright before publication in the INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING. Such transfer enables the Journal to defend itself against plagiarism and other forms of copyright infringement. Your cooperation is appreciated.
You agree that the copyright of your article to be published in the INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING - THEORY, APPLICATIONS, AND PRACTICE is hereby transferred, throughout the World and for the full term and all extensions and renewals thereof, to INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING - THEORY, APPLICATIONS, AND PRACTICE.
The Author(s) reserve(s): (a) the trademark rights and patent rights, if any, and (b) the right to use all or part of the information contained in this article in future, non-commercial works of the Author's own, or, if the article is a "work-for-hire" and made within the scope of the Author's employment, the employer may use all or part of the information contained in this article for intra-company use, provided the usual acknowledgments are given regarding copyright notice and reference to the original publication.
The Author(s) warrant(s) that the article is Author's original work and has not been published before. If excerpts from copyrighted works are included, the Author will obtain written permission from the copyright owners and credit the article's sources.
The author also warrants that the article contains no libelous or unlawful statements and does not infringe on the rights of others. If the article was prepared jointly with other Author(s), the Author agrees to inform the co-Author(s) of the terms of the copyright transfer and to sign on their behalf; or in the case of a "work-for-hire," the employer or an authorized representative of the employer.
The journal does not provide the author copy of the final paper when it is published. The author(s) can make(s) a subscription to INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING - THEORY, APPLICATIONS, AND PRACTICE if they want to get the final paper that has already been published.
The journal is registered with the Library of Congress (ISSN # 1943-670X). All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the journal.
The author reserves patent and trademark rights and the right to use all or part of the information contained in the article in future non-commercial works.
