Robust tests for the common principal components model
When dealing with several populations, the common principal components (CPC) model assumes equal principal axes but different variances along them. In this paper, a robust log-likelihood ratio statistic allowing to test the null hypothesis of a CPC model versus no restrictions on the scatter matrice...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03783758_v139_n4_p1332_Boente |
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todo:paper_03783758_v139_n4_p1332_Boente2023-10-03T15:32:16Z Robust tests for the common principal components model Boente, G. Pires, A.M. Rodrigues, I.M. Common principal components Log-likelihood ratio test Plug-in methods Proportional scatter matrices Robust estimation Wald-type test When dealing with several populations, the common principal components (CPC) model assumes equal principal axes but different variances along them. In this paper, a robust log-likelihood ratio statistic allowing to test the null hypothesis of a CPC model versus no restrictions on the scatter matrices is introduced. The proposal plugs into the classical log-likelihood ratio statistic robust scatter estimators. Using the same idea, a robust log-likelihood ratio and a robust Wald-type statistic for testing proportionality against a CPC model are considered. Their asymptotic distributions under the null hypothesis and their partial influence functions are derived. A small simulation study allows to compare the behavior of the classical and robust tests, under normal and contaminated data. © 2008 Elsevier B.V. All rights reserved. Fil:Boente, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03783758_v139_n4_p1332_Boente |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Common principal components Log-likelihood ratio test Plug-in methods Proportional scatter matrices Robust estimation Wald-type test |
| spellingShingle |
Common principal components Log-likelihood ratio test Plug-in methods Proportional scatter matrices Robust estimation Wald-type test Boente, G. Pires, A.M. Rodrigues, I.M. Robust tests for the common principal components model |
| topic_facet |
Common principal components Log-likelihood ratio test Plug-in methods Proportional scatter matrices Robust estimation Wald-type test |
| description |
When dealing with several populations, the common principal components (CPC) model assumes equal principal axes but different variances along them. In this paper, a robust log-likelihood ratio statistic allowing to test the null hypothesis of a CPC model versus no restrictions on the scatter matrices is introduced. The proposal plugs into the classical log-likelihood ratio statistic robust scatter estimators. Using the same idea, a robust log-likelihood ratio and a robust Wald-type statistic for testing proportionality against a CPC model are considered. Their asymptotic distributions under the null hypothesis and their partial influence functions are derived. A small simulation study allows to compare the behavior of the classical and robust tests, under normal and contaminated data. © 2008 Elsevier B.V. All rights reserved. |
| format |
JOUR |
| author |
Boente, G. Pires, A.M. Rodrigues, I.M. |
| author_facet |
Boente, G. Pires, A.M. Rodrigues, I.M. |
| author_sort |
Boente, G. |
| title |
Robust tests for the common principal components model |
| title_short |
Robust tests for the common principal components model |
| title_full |
Robust tests for the common principal components model |
| title_fullStr |
Robust tests for the common principal components model |
| title_full_unstemmed |
Robust tests for the common principal components model |
| title_sort |
robust tests for the common principal components model |
| url |
http://hdl.handle.net/20.500.12110/paper_03783758_v139_n4_p1332_Boente |
| work_keys_str_mv |
AT boenteg robusttestsforthecommonprincipalcomponentsmodel AT piresam robusttestsforthecommonprincipalcomponentsmodel AT rodriguesim robusttestsforthecommonprincipalcomponentsmodel |
| _version_ |
1807319241491218432 |