Artículo
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Robust estimation of variance components |
| Autor: | Gervini, D.; Yohai, V.J. |
| Filiación: | Departamento de Matemática, Ciudad Universitaria, Univ. de Buenos Aires and CONICET, Pabellón 1, 1428 Buenos Aires, Argentina |
| Palabras clave: | Components of variance; Interlaboratory studies; Robust estimates |
| Año: | 1998 |
| Volumen: | 26 |
| Número: | 3 |
| Página de inicio: | 419 |
| Página de fin: | 430 |
| DOI: | http://dx.doi.org/10.2307/3315766 |
| Título revista: | Canadian Journal of Statistics |
| Título revista abreviado: | Can. J. Stat. |
| ISSN: | 03195724 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03195724_v26_n3_p419_Gervini |
Referencias:
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- Searle, S.R., Casella, G., McCulloch, C.E., (1992) Variance Components, , Wiley, New York
- Stahel, W., Welsh, A., Approaches to robust estimation in the simplest variance components model (1997) J. Statist. Plann. Inf., 57, pp. 295-319
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Citas:
---------- APA ----------
Gervini, D. & Yohai, V.J. (1998) . Robust estimation of variance components. Canadian Journal of Statistics, 26(3), 419-430.http://dx.doi.org/10.2307/3315766
---------- CHICAGO ----------
Gervini, D., Yohai, V.J. "Robust estimation of variance components" . Canadian Journal of Statistics 26, no. 3 (1998) : 419-430.http://dx.doi.org/10.2307/3315766
---------- MLA ----------
Gervini, D., Yohai, V.J. "Robust estimation of variance components" . Canadian Journal of Statistics, vol. 26, no. 3, 1998, pp. 419-430.http://dx.doi.org/10.2307/3315766
---------- VANCOUVER ----------
Gervini, D., Yohai, V.J. Robust estimation of variance components. Can. J. Stat. 1998;26(3):419-430.http://dx.doi.org/10.2307/3315766
