Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules
In this study, we have introduced a generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules to identify small and moderate variations in a process mean vector. To achieve this aim, plotting statistic and control limits are formulated in generalized approaches....
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my.utm.956032022-05-31T13:04:30Z http://eprints.utm.my/id/eprint/95603/ Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules Mehmood, Rashid Muhammad Riaz, Muhammad Riaz Ali, Iftikhar Lee, Muhammad Hisyam QA Mathematics In this study, we have introduced a generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules to identify small and moderate variations in a process mean vector. To achieve this aim, plotting statistic and control limits are formulated in generalized approaches. For evaluation purposes, power and power curves are used as performance indicators. Afterwards, power curves are drawn through Monte Carlo simulation procedures by taking into account different choices of factors. A detailed discussion about the role of factors on the performance of the proposed generalized control chart is included. Furthermore, the proposed generalized control chart with double bivariate ranked set techniques is noted to be superb compared to the other cases of single bivariate ranked set techniques. Among single and double versions of bivariate ranked set techniques, the proposed generalized control chart on the basis of median bivariate ranked set techniques is recorded as more efficient relative to the other choices under consideration. Also, comparative analysis shows that the proposed generalized control chart with supplementary runs rules performs outstandingly for detection of small and moderate variations relative to existing control charts. Special cases of the proposed generalized control chart are elaborated to highlight its features for accommodating the existing control charts. To amplify the uses and advantages of the proposed generalized control chart, a real-world example from agriculture is presented. SAGE Publications Ltd 2021 Article PeerReviewed Mehmood, Rashid and Muhammad Riaz, Muhammad Riaz and Ali, Iftikhar and Lee, Muhammad Hisyam (2021) Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules. Transactions of the Institute of Measurement and Control, 43 (10). pp. 2180-2195. ISSN 0142-3312 http://dx.doi.org/10.1177/0142331221992670 |
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QA Mathematics Mehmood, Rashid Muhammad Riaz, Muhammad Riaz Ali, Iftikhar Lee, Muhammad Hisyam Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
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In this study, we have introduced a generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules to identify small and moderate variations in a process mean vector. To achieve this aim, plotting statistic and control limits are formulated in generalized approaches. For evaluation purposes, power and power curves are used as performance indicators. Afterwards, power curves are drawn through Monte Carlo simulation procedures by taking into account different choices of factors. A detailed discussion about the role of factors on the performance of the proposed generalized control chart is included. Furthermore, the proposed generalized control chart with double bivariate ranked set techniques is noted to be superb compared to the other cases of single bivariate ranked set techniques. Among single and double versions of bivariate ranked set techniques, the proposed generalized control chart on the basis of median bivariate ranked set techniques is recorded as more efficient relative to the other choices under consideration. Also, comparative analysis shows that the proposed generalized control chart with supplementary runs rules performs outstandingly for detection of small and moderate variations relative to existing control charts. Special cases of the proposed generalized control chart are elaborated to highlight its features for accommodating the existing control charts. To amplify the uses and advantages of the proposed generalized control chart, a real-world example from agriculture is presented. |
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Article |
author |
Mehmood, Rashid Muhammad Riaz, Muhammad Riaz Ali, Iftikhar Lee, Muhammad Hisyam |
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Mehmood, Rashid Muhammad Riaz, Muhammad Riaz Ali, Iftikhar Lee, Muhammad Hisyam |
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Mehmood, Rashid |
title |
Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
title_short |
Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
title_full |
Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
title_fullStr |
Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
title_full_unstemmed |
Generalized Hotelling T2 control chart based on bivariate ranked set techniques with runs rules |
title_sort |
generalized hotelling t2 control chart based on bivariate ranked set techniques with runs rules |
publisher |
SAGE Publications Ltd |
publishDate |
2021 |
url |
http://eprints.utm.my/id/eprint/95603/ http://dx.doi.org/10.1177/0142331221992670 |
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13.19449 |