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:en
Published: 2014
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/7769/1/Computational_Efficiency_of_Generalized_Variance_and_Vector_Variance.pdf
http://umpir.ump.edu.my/id/eprint/7769/
http://dx.doi.org/10.1063/1.4903690
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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
building UMPSA Library
collection Institutional Repository
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
continent Asia
country Malaysia
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
id my.ump.umpir.7769
institution Universiti Malaysia Pahang
language en
publishDate 2014
record_format eprints
spelling my.ump.umpir.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.. (Published) http://dx.doi.org/10.1063/1.4903690
spellingShingle Q Science (General)
Shamshuritawati, Sharif
Wan Nur Syahidah, Wan Yusoff
Zurni, Omar
Suzilah, Ismail
Computational Efficiency of Generalized Variance and Vector Variance
title 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_short Computational Efficiency of Generalized Variance and Vector Variance
title_sort computational efficiency of generalized variance and vector variance
topic Q Science (General)
url http://umpir.ump.edu.my/id/eprint/7769/1/Computational_Efficiency_of_Generalized_Variance_and_Vector_Variance.pdf
http://umpir.ump.edu.my/id/eprint/7769/
http://dx.doi.org/10.1063/1.4903690
url_provider http://umpir.ump.edu.my/