Computational Efficiency of Generalized Variance and Vector Variance

In multivariate statistical quality control, the existing tests known as Generalized Variance (GV) and Vector Variance (VV), plays an important role in measuring process variability. In this paper, we present the computational efficiency of both tests to illustrate that their complexity as a functi...

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Main Authors:	Shamshuritawati, Sharif, Wan Nur Syahidah, Wan Yusoff, Zurni, Omar, Suzilah, Ismail
Format:	Conference or Workshop Item
Language:	English
Published:	2014
Subjects:	Q Science (General)
Online Access:	http://umpir.ump.edu.my/id/eprint/7769/ http://umpir.ump.edu.my/id/eprint/7769/ http://umpir.ump.edu.my/id/eprint/7769/1/Computational_Efficiency_of_Generalized_Variance_and_Vector_Variance.pdf

id	ump-7769
recordtype	eprints
spelling	ump-77692018-01-23T08:02:48Z http://umpir.ump.edu.my/id/eprint/7769/ Computational Efficiency of Generalized Variance and Vector Variance Shamshuritawati, Sharif Wan Nur Syahidah, Wan Yusoff Zurni, Omar Suzilah, Ismail Q Science (General) In multivariate statistical quality control, the existing tests known as Generalized Variance (GV) and Vector Variance (VV), plays an important role in measuring process variability. In this paper, we present the computational efficiency of both tests to illustrate that their complexity as a function of dimension. From the mathematical derivation and simulation study, the computational efficiency of VV outperforms GV, particularly when the number of variables is large. 2014 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/7769/1/Computational_Efficiency_of_Generalized_Variance_and_Vector_Variance.pdf Shamshuritawati, Sharif and Wan Nur Syahidah, Wan Yusoff and Zurni, Omar and Suzilah, Ismail (2014) Computational Efficiency of Generalized Variance and Vector Variance. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12–14 August 2014 , Langkawi, Kedah. pp. 906-911.. http://dx.doi.org/10.1063/1.4903690
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	Q Science (General)
spellingShingle	Q Science (General) Shamshuritawati, Sharif Wan Nur Syahidah, Wan Yusoff Zurni, Omar Suzilah, Ismail Computational Efficiency of Generalized Variance and Vector Variance
description	In multivariate statistical quality control, the existing tests known as Generalized Variance (GV) and Vector Variance (VV), plays an important role in measuring process variability. In this paper, we present the computational efficiency of both tests to illustrate that their complexity as a function of dimension. From the mathematical derivation and simulation study, the computational efficiency of VV outperforms GV, particularly when the number of variables is large.
format	Conference or Workshop Item
author	Shamshuritawati, Sharif Wan Nur Syahidah, Wan Yusoff Zurni, Omar Suzilah, Ismail
author_facet	Shamshuritawati, Sharif Wan Nur Syahidah, Wan Yusoff Zurni, Omar Suzilah, Ismail
author_sort	Shamshuritawati, Sharif
title	Computational Efficiency of Generalized Variance and Vector Variance
title_short	Computational Efficiency of Generalized Variance and Vector Variance
title_full	Computational Efficiency of Generalized Variance and Vector Variance
title_fullStr	Computational Efficiency of Generalized Variance and Vector Variance
title_full_unstemmed	Computational Efficiency of Generalized Variance and Vector Variance
title_sort	computational efficiency of generalized variance and vector variance
publishDate	2014
url	http://umpir.ump.edu.my/id/eprint/7769/ http://umpir.ump.edu.my/id/eprint/7769/ http://umpir.ump.edu.my/id/eprint/7769/1/Computational_Efficiency_of_Generalized_Variance_and_Vector_Variance.pdf
first_indexed	2023-09-18T22:04:44Z
last_indexed	2023-09-18T22:04:44Z
_version_	1777414632328134656

Computational Efficiency of Generalized Variance and Vector Variance

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