Published
2013-12-09

Una prueba de independencia completa basada en la FDR

A test for complete Independence based on FDR

DOI: https://doi.org/10.15332/s2027-3355.2013.0002.01
Jorge Iván Vélez
Juan Carlos Correa

Abstract (en)

Analysis and interpretation of multivariate data is largely facilitated if the variables are independent. In the practice, this supposition is verified through a test for complete independence. We propose a new test for complete independence based on the false discovery rate (FDR), and report the results of a simulation study which compares the real significance levels of this proposal and other tests generally used. We found that the real significance level only remains under the theoretical one for the test based on FDR, and that this is regardless the size of the sample and number of variables. Finally, we illustrate our proposal with two examples.

Keywords (en): Independencia Completa, Tasa de Falsos Descubrimientos, Matriz de Correlaci\'on.

Abstract (es)

El an\'alisis e interpretaci\'on de datos multivariados se facilita enormemente si las variables son independientes. En la pr\'actica, este supuesto se verifica a trav\'es de una prueba de independencia completa. Proponemos una nueva prueba de independencia completa basada en la Tasa de Falsos Descubrimientos (FDR, en ingl\'es) y reportamos los resultados de un estudio de simulaci\'on en el que comparan los niveles de significancia real de esta propuesta y otras pruebas com\'unmente utilizadas. Encontramos que el nivel de significancia real s\'olo se mantienen por debajo del te\'orico para la prueba basada en la FDR, y que este es independiente del tama\~no de muestra y el n\'umero de variables. Finalmente, ilustramos nuestra propuesta con dos ejemplos.
Keywords (es): Independencia Completa, Tasa de Falsos Descubrimientos, Matriz de Correlaci\'on.

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How to Cite

Vélez, J. I., & Correa, J. C. (2013). A test for complete Independence based on FDR. Comunicaciones En Estadística, 6(2), 109-120. https://doi.org/10.15332/s2027-3355.2013.0002.01

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