COMPARISON OF HOTELLING’S T2 AND GENERALIZED VARIANCE |S| MULTIVARIATE CONTROL CHARTS PROCEDURES WITH INDUSTRIAL APPLICATION
Advances and Applications in Statistics (ADAS), • 2022
Publication Information
Authors
Mohamed S. Hamed1
Keywords
Quality Control, Multivariate Analysis, Monitoring Process, Covariance Matrix.
Journal
Advances and Applications in Statistics (ADAS),
Publisher
Pushpa Publishing House
Volume
76
Issue
3
Pages
75-104
publication.type
International
Paper Link
Open Link
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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