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ESTUDIO DE POTENCIA DE PRUEBAS DE HOMOGENEIDAD DE VARIANZA
A STUDY OF THE POWER OF TESTS FOR HOMOGENEITY OF VARIANCE
Keywords:
Pruebas de homogeneidad, heteroscedasticidad (es)Tests of homogeneity, Heteroscedasticity (en)
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1Universidad Nacional de Colombia, Escuela de Estadística, Medellín, Profesor asociado. E-mail: jccorrea@unal.edu.co
2Universidad Nacional de Colombia, Escuela de Estadística, Medellín, Profesor asociado. E-mail: riral@unal.edu.co
3Universidad Nacional de Colombia, Escuela de Estadística, Medellín, Profesora temporal. E-mail:lrojasp@unal.edu.co
Se realizó un estudio vía simulación para determinar el nivel real y la po tencia de pruebas de homogeneidad de varianza que se aplican comúnmente y de otras pruebas recientemente propuestas. Los resultados permiten a los usuarios tener criterios para escoger la prueba más adecuada de acuerdo con las circunstancias.
Palabras clave: Pruebas de homogeneidad, heteroscedasticidad.
Determining the real level of significance and the power of homogeneity of variance tests which are currently applied is the main purpose of this study. The results allow users to have criteria to choose the best test according to the circumstances.
Key words: Tests of homogeneity, Heteroscedasticity.
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Referencias
1. Brown, M. & Forsythe (1974),"Robust Test for the Equality of Variances", Journal of the American Statistical Association 69(346), 364367.
2. Cochran, W. (1941),"The distribution of the largest of a set of estimated variances as a fraction of their total", Annals of Eugenics 11, 4752.
3. Conover, W., Johnson, M. E. & Johnson, M. (1981),"A Comparative Study of Tests for Homogeneity of Variances, with Applications to the Outer Continental Shelf Bidding Data", Technometrics 23, 351 361.
4. Fligner, M. & Killeen, T. (1976),"Distribution-free two simple test for scale", Journal of the American Statistical Association 71(353), 210213.
5. Hartley, H. (1950),"The Maximum F-Ratio as a Short-Cut Test for Heterogeneity of Variance", Biometrika 37, 308312.
6. Layard, M. (1973),"Robust Large-Sample Test for Homogeneity of Variances", Journal of the American Statistical Association 68(341), 195198.
7. Lentner, M. & Bishop, T. (1986), Experimental Design and Analysis, Valley Book Company, pp. 6365.
8. Mandasky, A. (1988), Prescriptions for Working Statisticians, Editorial SpringerVerlag.
9. Milliken, G. & Johnson, D. (1984), Analysis of Messy Data, Lifetime Learning Publications, Belmont, California.
10. Montgomery, D. (2002), Diseño y análisis de experimentos, 2a. edn, Editorial Limusa.
11. Pardo, J., Pardo, M., Vicente, M. & Esteban, M. (1997),"A Statistic Information Theory Approach to Compare the Homogeneity of Several Variances", Computational Statistics & Data Analysis 24, 411416.
12. R Development Core Team (2005), R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria. *http://www.R-project.org
13. Walpole, R. & Myers, R. (1989), Probabilidad y estadística para ingenieros, 3a. edn, Editorial McGraw-Hill.
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