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publication name COMPARISON OF HOTELLING’S T2 AND GENERALIZED VARIANCE |S| MULTIVARIATE CONTROL CHARTS PROCEDURES WITH INDUSTRIAL APPLICATION
Authors Mohamed S. Hamed1
year 2022
keywords Quality Control, Multivariate Analysis, Monitoring Process, Covariance Matrix.
journal Advances and Applications in Statistics (ADAS),
volume 76
issue 3
pages 75-104
publisher Pushpa Publishing House
Local/International International
Paper Link http://dx.doi.org/10.17654/0972361722037 http://www.pphmj.com/journals/adas.htm
Full paper download
Supplementary materials Not Available
Abstract

This paper compares between two multivariate procedures performance: The first procedure based on Hotelling's T2 quality control chart which is process variability and methods that address which variable (s) caused the out-of-control signal. While the second procedure is generalized variance |S| quality control chart which is very powerful way to detect small shifts in the mean vector. Generalized variance |S| is allowing us to simultaneously monitor whether two or more related variables are in control, and it is shown that multivariate quality control chart do not indicate which variables cause the out-of-control signal so that the interpretation of the out-of-control signal. The compare was showed a control chart commonly requires samples with fixed size be taken at fixed intervals and assumed that in both univariate and multivariate control charts, each sample is independent of the previous samples. In addition, this paper compares between Hotelling's T2 quality control chart and generalized variance |S| control chart procedures by application with real data.

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