Robust analysis of variance for a randomized block design
In this paper we study the asymptotic theory of M-estimates and their associated tests for a one-factor experiment in a randomized block design. In this case one natural asymptotic theory corresponds to leaving the number of treatments fixed and letting the number of blocks tend to infinity. The cla...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
1992
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04518caa a22004817a 4500 | ||
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| 001 | PAPER-19264 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518205037.0 | ||
| 008 | 190411s1992 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84864457675 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a García Ben, M. | |
| 245 | 1 | 0 | |a Robust analysis of variance for a randomized block design |
| 260 | |c 1992 | ||
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Billingsley, A., (1968) Convergence of Probability Measures, , New York: Wiley | ||
| 504 | |a Huber, P.J., Robust estimation of a location parameter (1964) Ann. Math. Statist, 35, pp. 73-101 | ||
| 504 | |a Huber, P.J., Robust regression: asymptotics, conjectures and Monte Carlo (1973) Annals of Statistics, 1, pp. 799-821 | ||
| 504 | |a Huber, P.J., (1981) Robust Statistics, , New York: Wiley | ||
| 504 | |a Lehmann, E.L., (1975) Nonparametrics statistical methods based on ranks, , San Francisco: Holden-Day | ||
| 504 | |a Mammen, E., Assymptotics with increasing dimension for robust regression with applications to the bootstrap (1989) Annals of Statistics, 17, pp. 382-400 | ||
| 504 | |a Portnoy, S., Asymptotic behavior of M-estimators of p regression parameters when p2/n is large. I. Consistency (1984) Annals of Statistics, 12, pp. 1298-1309 | ||
| 504 | |a Portnoy, S., Asymptotic behavior of M-estimators of p regression parameters when p2/n is large. II. Asymptotic normality (1985) Annals of Statistics, 13, pp. 1403-1417 | ||
| 504 | |a Puri, M.L., Sen, P.K., (1971) Nonparametric Methods in Multivariate Analysis, , New York: Wiley | ||
| 504 | |a Schrader, R.M., Hettmansperger, T.P., Robust analysis of variance based upon a likelihood ratio criterion (1980) Biometrika, 67, pp. 93-101 | ||
| 504 | |a Schrader, R.M., Mc Kean, J.W., Robust analysis of variance (1979) Communications in Statistics, A6, pp. 879-894 | ||
| 504 | |a Yohai, V.J., High breakdown point and high efficciency robust estimates for regression. Technical Report (1985) Dept. Statistics, Univ, 66. , Washington, Seattle | ||
| 504 | |a Yohai, V.J., Maronna, R.A., Asymptotic behavior of M-estimators for the linear model (1979) Annals of Statistics, 7, pp. 258-268 | ||
| 520 | 3 | |a In this paper we study the asymptotic theory of M-estimates and their associated tests for a one-factor experiment in a randomized block design. In this case one natural asymptotic theory corresponds to leaving the number of treatments fixed and letting the number of blocks tend to infinity. The classic asymptotic theory of M-estimates does not apply here, because the number of parameters and the number of observations are of the same order. In this paper we prove the consistency and asymptotic normality of the estimators of the treatment effects. It turns out that the asymptotic covariance matrix of the treatment effects estimators differs from the one derived from the classic theory of M-estimates for the linear model with a fixed number of parameters. We also study a test for treatment effects derived from M-estimates and we compare by Monte Carlo simulation the efficiency of this test with respect to the F-test, the Friedman test and the test based on aligned ranks. © 1992, Taylor & Francis Group, LLC. All rights reserved. |l eng | |
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas, U.B.A., Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas, U.B.A., Conicet, Buenos Aires, Argentina | ||
| 690 | 1 | 0 | |a M-ESTIMATORS |
| 690 | 1 | 0 | |a RANDOMIZED BLOCK DESIGN |
| 690 | 1 | 0 | |a ROBUST ESTIMATION |
| 700 | 1 | |a Yohai, V. | |
| 773 | 0 | |d 1992 |g v. 21 |h pp. 1779-1798 |k n. 6 |p Commun Stat Theory Methods |x 03610926 |w (AR-BaUEN)CENRE-84 |t Communications in Statistics - Theory and Methods | |
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| 856 | 4 | 0 | |u https://doi.org/10.1080/03610929208830878 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03610926_v21_n6_p1779_GarciaBen |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03610926_v21_n6_p1779_GarciaBen |y Registro en la Biblioteca Digital |
| 961 | |a paper_03610926_v21_n6_p1779_GarciaBen |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 80217 | ||