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 function...

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Main Authors: Sharif, Shamshuritawati, Wan Yusoff, Wan Nur Syahidah, Omar, Zurni, Ismail, Suzilah
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/15240/1/Com.pdf
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author Sharif, Shamshuritawati
Wan Yusoff, Wan Nur Syahidah
Omar, Zurni
Ismail, Suzilah
author_facet Sharif, Shamshuritawati
Wan Yusoff, Wan Nur Syahidah
Omar, Zurni
Ismail, Suzilah
author_sort Sharif, Shamshuritawati
collection UUM
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.
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spelling uum-152402016-05-25T08:12:26Z https://repo.uum.edu.my/id/eprint/15240/ Computational efficiency of generalized variance and vector variance Sharif, Shamshuritawati Wan Yusoff, Wan Nur Syahidah Omar, Zurni Ismail, Suzilah QA Mathematics 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 https://repo.uum.edu.my/id/eprint/15240/1/Com.pdf Sharif, Shamshuritawati and Wan Yusoff, Wan Nur Syahidah and Omar, Zurni and Ismail, Suzilah (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 Malaysia. http://doi.org/10.1063/1.4903690 doi:10.1063/1.4903690 doi:10.1063/1.4903690
spellingShingle QA Mathematics
Sharif, Shamshuritawati
Wan Yusoff, Wan Nur Syahidah
Omar, Zurni
Ismail, Suzilah
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 QA Mathematics
url https://repo.uum.edu.my/id/eprint/15240/1/Com.pdf
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