Multivariate Shewhart Quality Control for Standard Deviation
سال
: 2010
چکیده: In univariate quality control, the Chart have been useful in determining whether the process dispersion is in-control or not. It would be very useful to have a similar chart applied to the multivariate case. The existing methods do not provide all the information that a quality control practitioner would like to possess such as the indication of which variables are causing the process to be out-of-control. In this paper, we propose a method which allows us to simultaneously control the overall process quality characteristics and to identify the responsible variables leading to an out-of-control condition. This method is based on the adequate selection of the symmetric square root of the correlation matrix.
The associated critical region is also discussed. The process considered is assumed to be multivariate normal with parameters known from historical data or estimated from a large sample. We call this method, \\\\\\"Multivariate Shewhart Chart (MS Chart)\\\\\\", because it reduces to the Shewhart Chart when the process involves only one variable. The procedure has been illustrated with the help of two examples.
The associated critical region is also discussed. The process considered is assumed to be multivariate normal with parameters known from historical data or estimated from a large sample. We call this method, \\\\\\"Multivariate Shewhart Chart (MS Chart)\\\\\\", because it reduces to the Shewhart Chart when the process involves only one variable. The procedure has been illustrated with the help of two examples.
کلیدواژه(گان): Multivariate Quality Control,Multivariate Shewhart Chart,Symmetric Square Root,and Critical Region
کالکشن
:
-
آمار بازدید
Multivariate Shewhart Quality Control for Standard Deviation
Show full item record
contributor author | مهدی جباری نوقابی | en |
contributor author | هادی جباری نوقابی | en |
contributor author | Mehdi Jabbari Nooghabi | fa |
contributor author | Hadi Jabbari Nooghabi | fa |
date accessioned | 2020-06-06T14:08:15Z | |
date available | 2020-06-06T14:08:15Z | |
date copyright | 3/18/2010 | |
date issued | 2010 | |
identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3383927 | |
description abstract | In univariate quality control, the Chart have been useful in determining whether the process dispersion is in-control or not. It would be very useful to have a similar chart applied to the multivariate case. The existing methods do not provide all the information that a quality control practitioner would like to possess such as the indication of which variables are causing the process to be out-of-control. In this paper, we propose a method which allows us to simultaneously control the overall process quality characteristics and to identify the responsible variables leading to an out-of-control condition. This method is based on the adequate selection of the symmetric square root of the correlation matrix. The associated critical region is also discussed. The process considered is assumed to be multivariate normal with parameters known from historical data or estimated from a large sample. We call this method, \\\\\\"Multivariate Shewhart Chart (MS Chart)\\\\\\", because it reduces to the Shewhart Chart when the process involves only one variable. The procedure has been illustrated with the help of two examples. | en |
language | English | |
title | Multivariate Shewhart Quality Control for Standard Deviation | en |
type | Conference Paper | |
contenttype | External Fulltext | |
subject keywords | Multivariate Quality Control | en |
subject keywords | Multivariate Shewhart Chart | en |
subject keywords | Symmetric Square Root | en |
subject keywords | and Critical Region | en |
identifier link | https://profdoc.um.ac.ir/paper-abstract-1031638.html | |
conference title | Sixth International Seminar on Recent Development of Official Statistics | en |
conference location | Khairpur Mir’s | fa |
identifier articleid | 1031638 |