Robust estimation of variance components
New robust estimates for variance components are introduced. Two simple models are considered: the balanced one-way classification model with a random factor and the balanced mixed model with one random factor and one fixed factor. However, the method of estimation proposed can be extended to more c...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03195724_v26_n3_p419_Gervini |
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todo:paper_03195724_v26_n3_p419_Gervini2023-10-03T15:23:13Z Robust estimation of variance components Gervini, D. Yohai, V.J. Components of variance Interlaboratory studies Robust estimates New robust estimates for variance components are introduced. Two simple models are considered: the balanced one-way classification model with a random factor and the balanced mixed model with one random factor and one fixed factor. However, the method of estimation proposed can be extended to more complex models. The new method of estimation we propose is based on the relationship between the variance components and the coefficients of the least-mean-squared-error predictor between two observations of the same group. This relationship enables us to transform the problem of estimating the variance components into the problem of estimating the coefficients of a simple linear regression model. The variance-component estimators derived from the least-squares regression estimates are shown to coincide with the maximum-likelihood estimates. Robust estimates of the variance components can be obtained by replacing the least-squares estimates by robust regression estimates. In particular, a Monte Carlo study shows that for outlier-contaminated normal samples, the estimates of variance components derived from GM regression estimates and the derived test outperform other robust procedures. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03195724_v26_n3_p419_Gervini |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Components of variance Interlaboratory studies Robust estimates |
| spellingShingle |
Components of variance Interlaboratory studies Robust estimates Gervini, D. Yohai, V.J. Robust estimation of variance components |
| topic_facet |
Components of variance Interlaboratory studies Robust estimates |
| description |
New robust estimates for variance components are introduced. Two simple models are considered: the balanced one-way classification model with a random factor and the balanced mixed model with one random factor and one fixed factor. However, the method of estimation proposed can be extended to more complex models. The new method of estimation we propose is based on the relationship between the variance components and the coefficients of the least-mean-squared-error predictor between two observations of the same group. This relationship enables us to transform the problem of estimating the variance components into the problem of estimating the coefficients of a simple linear regression model. The variance-component estimators derived from the least-squares regression estimates are shown to coincide with the maximum-likelihood estimates. Robust estimates of the variance components can be obtained by replacing the least-squares estimates by robust regression estimates. In particular, a Monte Carlo study shows that for outlier-contaminated normal samples, the estimates of variance components derived from GM regression estimates and the derived test outperform other robust procedures. |
| format |
JOUR |
| author |
Gervini, D. Yohai, V.J. |
| author_facet |
Gervini, D. Yohai, V.J. |
| author_sort |
Gervini, D. |
| title |
Robust estimation of variance components |
| title_short |
Robust estimation of variance components |
| title_full |
Robust estimation of variance components |
| title_fullStr |
Robust estimation of variance components |
| title_full_unstemmed |
Robust estimation of variance components |
| title_sort |
robust estimation of variance components |
| url |
http://hdl.handle.net/20.500.12110/paper_03195724_v26_n3_p419_Gervini |
| work_keys_str_mv |
AT gervinid robustestimationofvariancecomponents AT yohaivj robustestimationofvariancecomponents |
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1782025925102141440 |