The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.

A separate univariate control chart for each characteristic is often used to detect changes in the inherent variability of a process because of ease of computation. Nevertheless, the shortcoming of using separate individual charts would not have detected out of control condition when the characteris...

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Main Authors: Shabbak, Ashak, Midi, Habshah, Hassan , Mohamad Nooh
Format: Article
Language:English
Published: Asian Network for Scientific Information 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24745/
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author Shabbak, Ashak
Midi, Habshah
Hassan , Mohamad Nooh
author_facet Shabbak, Ashak
Midi, Habshah
Hassan , Mohamad Nooh
author_sort Shabbak, Ashak
building UPM Institutional Repository
collection Online Access
description A separate univariate control chart for each characteristic is often used to detect changes in the inherent variability of a process because of ease of computation. Nevertheless, the shortcoming of using separate individual charts would not have detected out of control condition when the characteristics of interests are correlated. The problems get more complicated in the existence of sustained shift in the process mean. In this study, we proposed a robust multivariate control chart which is less sensitive to the sustained shift in mean process. However, the theoretical cutoff-points of the proposed charts are intractable. As an alternative, we proposed two different procedures of empirical cutoff-points. The performance of these two cutoff-points in detecting a step shift in the mean vector is investigated extensively by real example and monte carlo simulation.
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spelling upm-247452013-09-13T03:25:11Z http://psasir.upm.edu.my/id/eprint/24745/ The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean. Shabbak, Ashak Midi, Habshah Hassan , Mohamad Nooh A separate univariate control chart for each characteristic is often used to detect changes in the inherent variability of a process because of ease of computation. Nevertheless, the shortcoming of using separate individual charts would not have detected out of control condition when the characteristics of interests are correlated. The problems get more complicated in the existence of sustained shift in the process mean. In this study, we proposed a robust multivariate control chart which is less sensitive to the sustained shift in mean process. However, the theoretical cutoff-points of the proposed charts are intractable. As an alternative, we proposed two different procedures of empirical cutoff-points. The performance of these two cutoff-points in detecting a step shift in the mean vector is investigated extensively by real example and monte carlo simulation. Asian Network for Scientific Information 2011 Article PeerReviewed Shabbak, Ashak and Midi, Habshah and Hassan , Mohamad Nooh (2011) The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean. Journal of Applied Sciences, 11 (1). pp. 56-65. ISSN 1812-5654; ESSN:1812-5662 http://www.ansinet.com/ 10.3923/jas.2011.56.65 English
spellingShingle Shabbak, Ashak
Midi, Habshah
Hassan , Mohamad Nooh
The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title_full The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title_fullStr The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title_full_unstemmed The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title_short The performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
title_sort performance of robust multivariate statistical control charts based on different cutoff-points with sustained shifts in mean.
url http://psasir.upm.edu.my/id/eprint/24745/
http://psasir.upm.edu.my/id/eprint/24745/
http://psasir.upm.edu.my/id/eprint/24745/