Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis.
It is a common practice to estimate the parameters of mediation model by using the Ordinary Least Squares (OLS) method. The construction of T statistics and confidence interval estimates for making inferences on the parameters of a mediation model, particularly the indirect effect, is usually are ba...
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| Format: | Article |
| Language: | English English |
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World Scientific and Engineering Academy and Society (WSEAS) Press
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/14560/ http://psasir.upm.edu.my/id/eprint/14560/1/Estimating%20bias%20and%20RMSE%20of%20indirect%20effects%20using%20rescaled%20residual%20bootstrap%20in%20mediation%20analysis.pdf |
| _version_ | 1848842427764310016 |
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| author | Fitrianto, Anwar Midi, Habshah |
| author_facet | Fitrianto, Anwar Midi, Habshah |
| author_sort | Fitrianto, Anwar |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | It is a common practice to estimate the parameters of mediation model by using the Ordinary Least Squares (OLS) method. The construction of T statistics and confidence interval estimates for making inferences on the parameters of a mediation model, particularly the indirect effect, is usually are based on the assumption that the estimates are normally distributed. Nonetheless, in practice many estimates are not normal and have a heavy tailed istribution which may be the results of having outliers in the data. An alternative approach is to use bootstrap method which does not rely on the normality assumption. In this paper, we proposed a new bootstrap procedure of indirect effect in mediation model which is resistant to outliers. The proposed approach was based on residual bootstrap which incorporated rescaled studentized residuals, namely the Rescaled Studentized Residual Bootstrap using Least Squares (ReSRB). The Monte Carlo simulations showed that the ReSRB is more efficient than some existing methods in the presence of outliers.
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| first_indexed | 2025-11-15T07:58:58Z |
| format | Article |
| id | upm-14560 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:58:58Z |
| publishDate | 2010 |
| publisher | World Scientific and Engineering Academy and Society (WSEAS) Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-145602015-09-22T03:58:15Z http://psasir.upm.edu.my/id/eprint/14560/ Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. Fitrianto, Anwar Midi, Habshah It is a common practice to estimate the parameters of mediation model by using the Ordinary Least Squares (OLS) method. The construction of T statistics and confidence interval estimates for making inferences on the parameters of a mediation model, particularly the indirect effect, is usually are based on the assumption that the estimates are normally distributed. Nonetheless, in practice many estimates are not normal and have a heavy tailed istribution which may be the results of having outliers in the data. An alternative approach is to use bootstrap method which does not rely on the normality assumption. In this paper, we proposed a new bootstrap procedure of indirect effect in mediation model which is resistant to outliers. The proposed approach was based on residual bootstrap which incorporated rescaled studentized residuals, namely the Rescaled Studentized Residual Bootstrap using Least Squares (ReSRB). The Monte Carlo simulations showed that the ReSRB is more efficient than some existing methods in the presence of outliers. World Scientific and Engineering Academy and Society (WSEAS) Press 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14560/1/Estimating%20bias%20and%20RMSE%20of%20indirect%20effects%20using%20rescaled%20residual%20bootstrap%20in%20mediation%20analysis.pdf Fitrianto, Anwar and Midi, Habshah (2010) Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. WSEAS Transactions on Mathematics, 9 (6). pp. 397-406. ISSN 1109-2769 http://www.worldses.org/journals/mathematics/index.html English |
| spellingShingle | Fitrianto, Anwar Midi, Habshah Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title | Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title_full | Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title_fullStr | Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title_full_unstemmed | Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title_short | Estimating bias and RMSE of indirect effects using rescaled residual bootstrap in mediation analysis. |
| title_sort | estimating bias and rmse of indirect effects using rescaled residual bootstrap in mediation analysis. |
| url | http://psasir.upm.edu.my/id/eprint/14560/ http://psasir.upm.edu.my/id/eprint/14560/ http://psasir.upm.edu.my/id/eprint/14560/1/Estimating%20bias%20and%20RMSE%20of%20indirect%20effects%20using%20rescaled%20residual%20bootstrap%20in%20mediation%20analysis.pdf |