Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models.
Outliers affect the accuracy of the estimated parameters of the partial least squares regression model and give unacceptably large residual values. Traditional robust methods (used in ordinary least squares) cannot be used to treat outliers in estimating partial least squares regression model, due t...
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| Language: | Arabic |
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College of Computer Science and Mathematics, University of Mosul
2025-06-01
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| Series: | المجلة العراقية للعلوم الاحصائية |
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| Online Access: | https://stats.uomosul.edu.iq/article_187757_4ea717c227b568d9a428e31be4f9ce63.pdf |
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| author | Mahammad Bazid taha ali |
| author_facet | Mahammad Bazid taha ali |
| author_sort | Mahammad Bazid |
| collection | DOAJ |
| description | Outliers affect the accuracy of the estimated parameters of the partial least squares regression model and give unacceptably large residual values. Traditional robust methods (used in ordinary least squares) cannot be used to treat outliers in estimating partial least squares regression model, due to the number of independent variables greater than the sample size, therefore, it was proposed to use an iterative method to treat outliers and estimation of partial least squares regression model parameters. The iterative method relies on identifying outliers and then estimating them using the initial estimated values and the residual and determining the optimal value that gives the least sum of squares error for the partial least square regression model. To illustrate the proposed method, simulated and real data were used based on a program MATLAB designed for this purpose. The proposed method provided accurate results for the partial squares regression model parameters depending on MSE criteria and addressed the problem of outliers. |
| format | Article |
| id | doaj-art-2ceca4f656564522b8147e244da74dad |
| institution | Kabale University |
| issn | 1680-855X 2664-2956 |
| language | Arabic |
| publishDate | 2025-06-01 |
| publisher | College of Computer Science and Mathematics, University of Mosul |
| record_format | Article |
| series | المجلة العراقية للعلوم الاحصائية |
| spelling | doaj-art-2ceca4f656564522b8147e244da74dad2025-08-20T03:27:07ZaraCollege of Computer Science and Mathematics, University of Mosulالمجلة العراقية للعلوم الاحصائية1680-855X2664-29562025-06-012218810010.33899/iqjoss.2025.187757187757Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models.Mahammad Bazid0taha ali1Department of Statistics and Informatics, College of Administration & Economics, Salahaddin University, Erbil, IraqDepartment of Statistics and Informatics, College of Administration & Economics, Salahaddin University, Erbil, IraqOutliers affect the accuracy of the estimated parameters of the partial least squares regression model and give unacceptably large residual values. Traditional robust methods (used in ordinary least squares) cannot be used to treat outliers in estimating partial least squares regression model, due to the number of independent variables greater than the sample size, therefore, it was proposed to use an iterative method to treat outliers and estimation of partial least squares regression model parameters. The iterative method relies on identifying outliers and then estimating them using the initial estimated values and the residual and determining the optimal value that gives the least sum of squares error for the partial least square regression model. To illustrate the proposed method, simulated and real data were used based on a program MATLAB designed for this purpose. The proposed method provided accurate results for the partial squares regression model parameters depending on MSE criteria and addressed the problem of outliers.https://stats.uomosul.edu.iq/article_187757_4ea717c227b568d9a428e31be4f9ce63.pdfpartial least squares regressionlinear modeloutliersresidualsand iterative method |
| spellingShingle | Mahammad Bazid taha ali Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. المجلة العراقية للعلوم الاحصائية partial least squares regression linear model outliers residuals and iterative method |
| title | Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. |
| title_full | Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. |
| title_fullStr | Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. |
| title_full_unstemmed | Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. |
| title_short | Estimating Outliers Using the Iterative Method in Partial Least Squares Regression Analysis for Linear Models. |
| title_sort | estimating outliers using the iterative method in partial least squares regression analysis for linear models |
| topic | partial least squares regression linear model outliers residuals and iterative method |
| url | https://stats.uomosul.edu.iq/article_187757_4ea717c227b568d9a428e31be4f9ce63.pdf |
| work_keys_str_mv | AT mahammadbazid estimatingoutliersusingtheiterativemethodinpartialleastsquaresregressionanalysisforlinearmodels AT tahaali estimatingoutliersusingtheiterativemethodinpartialleastsquaresregressionanalysisforlinearmodels |