Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif

Control charts are categorized into two groups; i.e univariate and multivariate control charts. Hotelling T2 control chart is widely being used in the multivariate control chart. The presence of outliers will affect the accuracy of both mean and covariance matrix and thus consequently cause wider co...

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Main Author:	Mohd Hannif, Herma
Format:	Thesis
Language:	English
Published:	2015
Subjects:	Analytical methods used in the solution of physical problems Control theory
Online Access:	http://ir.uitm.edu.my/id/eprint/15681/ http://ir.uitm.edu.my/id/eprint/15681/1/TM_HERMA%20MOHD%20HANNIF%20CS%2015_5.pdf

id	uitm-15681
recordtype	eprints
spelling	uitm-156812017-01-15T04:23:19Z http://ir.uitm.edu.my/id/eprint/15681/ Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif Mohd Hannif, Herma Analytical methods used in the solution of physical problems Control theory Control charts are categorized into two groups; i.e univariate and multivariate control charts. Hotelling T2 control chart is widely being used in the multivariate control chart. The presence of outliers will affect the accuracy of both mean and covariance matrix and thus consequently cause wider control limit, which makes it more difficult to detect abnormalities. This study investigates the performance of classical and robustified Hotelling T2 control charts. Consequently, this study proposes to replace the ordinary mean with robust means, namely the trimmed and decile means in the first phase when computing the Hotelling T2 control chart. These robust statistics are integrated in three different Hotelling T2 control charts methods, namely the Reweighted Minimum Covariance Determinant (RMCD), the Minimum Vector Variance (M W ) and the Minimum Volume Ellipsoid (MVE). Simulation study is used to assess the performance of these control charts. The real data set used is the consumer household water consumption data that is used to detect excessive water usage in a household. The data is used due to the complexity of the problem in detecting excessive water usage. A classical chart with the implementation of median, RMCD with decile mean, MVE with median and M W with mean, gives best result in each method comparison. The results of the study indicate that the Hotelling T2 control chart with M W gives a more accurate detection among all. However, each of the methods is best for certain specification of characteristics. The proposed approach in detecting suspected excessive household water usage has great potential to be implemented as a software for online monitoring of domestic excessive water usage. 2015 Thesis NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/15681/1/TM_HERMA%20MOHD%20HANNIF%20CS%2015_5.pdf Mohd Hannif, Herma (2015) Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif. Masters thesis, Universiti Teknologi MARA.
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Teknologi MARA
building	UiTM Institutional Repository
collection	Online Access
language	English
topic	Analytical methods used in the solution of physical problems Control theory
spellingShingle	Analytical methods used in the solution of physical problems Control theory Mohd Hannif, Herma Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
description	Control charts are categorized into two groups; i.e univariate and multivariate control charts. Hotelling T2 control chart is widely being used in the multivariate control chart. The presence of outliers will affect the accuracy of both mean and covariance matrix and thus consequently cause wider control limit, which makes it more difficult to detect abnormalities. This study investigates the performance of classical and robustified Hotelling T2 control charts. Consequently, this study proposes to replace the ordinary mean with robust means, namely the trimmed and decile means in the first phase when computing the Hotelling T2 control chart. These robust statistics are integrated in three different Hotelling T2 control charts methods, namely the Reweighted Minimum Covariance Determinant (RMCD), the Minimum Vector Variance (M W ) and the Minimum Volume Ellipsoid (MVE). Simulation study is used to assess the performance of these control charts. The real data set used is the consumer household water consumption data that is used to detect excessive water usage in a household. The data is used due to the complexity of the problem in detecting excessive water usage. A classical chart with the implementation of median, RMCD with decile mean, MVE with median and M W with mean, gives best result in each method comparison. The results of the study indicate that the Hotelling T2 control chart with M W gives a more accurate detection among all. However, each of the methods is best for certain specification of characteristics. The proposed approach in detecting suspected excessive household water usage has great potential to be implemented as a software for online monitoring of domestic excessive water usage.
format	Thesis
author	Mohd Hannif, Herma
author_facet	Mohd Hannif, Herma
author_sort	Mohd Hannif, Herma
title	Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
title_short	Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
title_full	Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
title_fullStr	Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
title_full_unstemmed	Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif
title_sort	enhancing individual hotelling t2 control charts in detecting excessive household water consumption / herma mohd hannif
publishDate	2015
url	http://ir.uitm.edu.my/id/eprint/15681/ http://ir.uitm.edu.my/id/eprint/15681/1/TM_HERMA%20MOHD%20HANNIF%20CS%2015_5.pdf
first_indexed	2023-09-18T22:54:24Z
last_indexed	2023-09-18T22:54:24Z
_version_	1777417757223026688

Enhancing individual hotelling T2 control charts in detecting excessive household water consumption / Herma Mohd Hannif

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