Construction Robust -Chart and Compare it with Hotelling’s T2-Chart
This paper proposes a new multivariate chart corresponding to a T2- chart robust to outliers using three methods, namely the Rousseuw and Leroy algorithm, Maronna and Zamar, and the family of "concentration algorithms" by Olive and Hawkins. Then the comparison between the proposed and c...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | Arabic |
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Salahaddin University-Erbil
2024-02-01
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| Series: | Zanco Journal of Humanity Sciences |
| Subjects: | |
| Online Access: | https://zancojournal.su.edu.krd/index.php/JAHS/article/view/1374 |
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| _version_ | 1849737767570898944 |
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| author | Bekhal Samad Sedeeq Zainab Abdulla Muhammad Israa Muayad Ali Taha Hussein Ali |
| author_facet | Bekhal Samad Sedeeq Zainab Abdulla Muhammad Israa Muayad Ali Taha Hussein Ali |
| author_sort | Bekhal Samad Sedeeq |
| collection | DOAJ |
| description |
This paper proposes a new multivariate chart corresponding to a T2- chart robust to outliers using three methods, namely the Rousseuw and Leroy algorithm, Maronna and Zamar, and the family of "concentration algorithms" by Olive and Hawkins. Then the comparison between the proposed and classical method of the researcher Shewhart depending on the total variance (trace variance matrix) and the general variance (determinant of the variance matrix) to obtain the most efficient paintings against outliers through simulation and real data and using a program in MATLAB language designed for this purpose. The study concluded that the proposed charts dealt with the problem of the influence of outliers and were more efficient than the classical method.
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| format | Article |
| id | doaj-art-9f9ced72df0c40e088839c9b68b7d312 |
| institution | DOAJ |
| issn | 2412-396X |
| language | Arabic |
| publishDate | 2024-02-01 |
| publisher | Salahaddin University-Erbil |
| record_format | Article |
| series | Zanco Journal of Humanity Sciences |
| spelling | doaj-art-9f9ced72df0c40e088839c9b68b7d3122025-08-20T03:06:49ZaraSalahaddin University-ErbilZanco Journal of Humanity Sciences2412-396X2024-02-0128110.21271/zjhs.28.1.11Construction Robust -Chart and Compare it with Hotelling’s T2-ChartBekhal Samad Sedeeq0Zainab Abdulla Muhammad1Israa Muayad Ali2Taha Hussein Ali3Department of Statistics and Informatics, College of Administration and Economics, Salahaddin-ErbilDepartment of Statistics and Informatics, College of Administration and Economics, Salahaddin University-ErbilDepartment of Statistics and Informatics, College of Administration and Economics, Salahaddin University-ErbilDepartment of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil This paper proposes a new multivariate chart corresponding to a T2- chart robust to outliers using three methods, namely the Rousseuw and Leroy algorithm, Maronna and Zamar, and the family of "concentration algorithms" by Olive and Hawkins. Then the comparison between the proposed and classical method of the researcher Shewhart depending on the total variance (trace variance matrix) and the general variance (determinant of the variance matrix) to obtain the most efficient paintings against outliers through simulation and real data and using a program in MATLAB language designed for this purpose. The study concluded that the proposed charts dealt with the problem of the influence of outliers and were more efficient than the classical method. https://zancojournal.su.edu.krd/index.php/JAHS/article/view/1374Multivariate Quality Control Charts, Robust, Outliers, T2-Chart. |
| spellingShingle | Bekhal Samad Sedeeq Zainab Abdulla Muhammad Israa Muayad Ali Taha Hussein Ali Construction Robust -Chart and Compare it with Hotelling’s T2-Chart Zanco Journal of Humanity Sciences Multivariate Quality Control Charts, Robust, Outliers, T2-Chart. |
| title | Construction Robust -Chart and Compare it with Hotelling’s T2-Chart |
| title_full | Construction Robust -Chart and Compare it with Hotelling’s T2-Chart |
| title_fullStr | Construction Robust -Chart and Compare it with Hotelling’s T2-Chart |
| title_full_unstemmed | Construction Robust -Chart and Compare it with Hotelling’s T2-Chart |
| title_short | Construction Robust -Chart and Compare it with Hotelling’s T2-Chart |
| title_sort | construction robust chart and compare it with hotelling s t2 chart |
| topic | Multivariate Quality Control Charts, Robust, Outliers, T2-Chart. |
| url | https://zancojournal.su.edu.krd/index.php/JAHS/article/view/1374 |
| work_keys_str_mv | AT bekhalsamadsedeeq constructionrobustchartandcompareitwithhotellingst2chart AT zainababdullamuhammad constructionrobustchartandcompareitwithhotellingst2chart AT israamuayadali constructionrobustchartandcompareitwithhotellingst2chart AT tahahusseinali constructionrobustchartandcompareitwithhotellingst2chart |