An Improvement of the Hotelling T2 Statistic in Monitoring Multivariate Quality Characteristics
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The Hotelling T2 statistic is the most popular statistic used in multivariate control charts to monitor multiple qualities.
However, this statistic is easily affected by the existence of more than one outlier in the data set.
To rectify this problem, robust control charts, which are based on the minimum volume ellipsoid and the minimum covariance determinant, have been proposed.
Most researchers assess the performance of multivariate control charts based on the number of signals without paying much attention to whether those signals are really outliers.
With due respect, we propose to evaluate control charts not only based on the number of detected outliers but also with respect to their correct positions.
In this paper, an Upper Control Limit based on the median and the median absolute deviation is also proposed.
The results of this study signify that the proposed Upper Control Limit improves the detection of correct outliers but that it suffers from a swamping effect when the positions of outliers are not taken into consideration.
Finally, a robust control chart based on the diagnostic robust generalised potential procedure is introduced to remedy this drawback.
American Psychological Association (APA)
Shabbak, Ashkan& Midi, Habshah. 2012. An Improvement of the Hotelling T2 Statistic in Monitoring Multivariate Quality Characteristics. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001675
Modern Language Association (MLA)
Shabbak, Ashkan& Midi, Habshah. An Improvement of the Hotelling T2 Statistic in Monitoring Multivariate Quality Characteristics. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1001675
American Medical Association (AMA)
Shabbak, Ashkan& Midi, Habshah. An Improvement of the Hotelling T2 Statistic in Monitoring Multivariate Quality Characteristics. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001675
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001675