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Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism
In Statistical Process Control, many techniques exist for monitoring the stability of a process over time. In this work, we study the relationship of the response variable with explanatory variables in the form of linear profiles for detecting changes in slope and intercept of the linear quality pro...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2023
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10224965/ https://www.ncbi.nlm.nih.gov/pubmed/37244943 http://dx.doi.org/10.1038/s41598-023-35779-0 |
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author | Sherwani, Rehan Ahmad Khan Qasim, Humaira Abbas, Shumaila Abbas, Tahir Aslam, Muhammad |
author_facet | Sherwani, Rehan Ahmad Khan Qasim, Humaira Abbas, Shumaila Abbas, Tahir Aslam, Muhammad |
author_sort | Sherwani, Rehan Ahmad Khan |
collection | PubMed |
description | In Statistical Process Control, many techniques exist for monitoring the stability of a process over time. In this work, we study the relationship of the response variable with explanatory variables in the form of linear profiles for detecting changes in slope and intercept of the linear quality profiles. We used the transformation of explanatory variables approach used for make the regression estimates independent of each other to have zero average. A comparative study of three phase-II methods using DEWMA statistics in monitoring and capturing undesirable deviations in the slope, intercept, and variability is also studied by applying different proposed run rules schemes i.e., R(1/1), R(2/3), R(3/3). Monte Carlo simulations were carried out on R-Software for finding the results of proposed schemes by taking various levels of shifts for intercept, slope, and standard deviation in identifying the false alarm rate of a process. The simulation results based on the average run length criterion show that the proposed run rule schemes improve the detection ability of the control structure. Among all the proposed schemes R(2/3) is found to be the best one because of its quick detection ability of false alarm rate. The proposed scheme also shows superiority in comparison to other schemes. The simulation results are further justified with a real data application. |
format | Online Article Text |
id | pubmed-10224965 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-102249652023-05-29 Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism Sherwani, Rehan Ahmad Khan Qasim, Humaira Abbas, Shumaila Abbas, Tahir Aslam, Muhammad Sci Rep Article In Statistical Process Control, many techniques exist for monitoring the stability of a process over time. In this work, we study the relationship of the response variable with explanatory variables in the form of linear profiles for detecting changes in slope and intercept of the linear quality profiles. We used the transformation of explanatory variables approach used for make the regression estimates independent of each other to have zero average. A comparative study of three phase-II methods using DEWMA statistics in monitoring and capturing undesirable deviations in the slope, intercept, and variability is also studied by applying different proposed run rules schemes i.e., R(1/1), R(2/3), R(3/3). Monte Carlo simulations were carried out on R-Software for finding the results of proposed schemes by taking various levels of shifts for intercept, slope, and standard deviation in identifying the false alarm rate of a process. The simulation results based on the average run length criterion show that the proposed run rule schemes improve the detection ability of the control structure. Among all the proposed schemes R(2/3) is found to be the best one because of its quick detection ability of false alarm rate. The proposed scheme also shows superiority in comparison to other schemes. The simulation results are further justified with a real data application. Nature Publishing Group UK 2023-05-27 /pmc/articles/PMC10224965/ /pubmed/37244943 http://dx.doi.org/10.1038/s41598-023-35779-0 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Sherwani, Rehan Ahmad Khan Qasim, Humaira Abbas, Shumaila Abbas, Tahir Aslam, Muhammad Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title | Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title_full | Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title_fullStr | Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title_full_unstemmed | Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title_short | Performance evaluation of DEWMA3 in phase-II for capturing changes in simple linear profiles based on run rule mechanism |
title_sort | performance evaluation of dewma3 in phase-ii for capturing changes in simple linear profiles based on run rule mechanism |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10224965/ https://www.ncbi.nlm.nih.gov/pubmed/37244943 http://dx.doi.org/10.1038/s41598-023-35779-0 |
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