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Olivier, J., & M. Norberg, M. (2010). Datos positivamente asimétricos: revisando la transformación Box-Cox. International Journal of Psychological Research, 3(1), 68–77. https://doi.org/10.21500/20112084.846
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The editorial board reserves the right of amendments deemed necessary in the application of the rules of publication.
To give up copyright, the authors allow that, International Journal of Psychological Research, distribute the work more broadly, check for the reuse by others and take care of the necessary procedures for the registration and administration of copyright; at the same time, our editorial board represents the interests of the author and allows authors to re-use his work in various forms. In response to the above, authors transfer copyright to the journal, International Journal of Psychological Research. This transfer does not imply other rights which are not those of authorship (for example those that concern about patents). Likewise, preserves the authors rights to use the work integral or partially in lectures, books and courses, as well as make copies for educational purposes. Finally, the authors may use freely the tables and figures in its future work, wherever make explicit reference to the previous publication in International Journal of Psychological Research. The assignment of copyright includes both virtual rights and forms of the article to allow the editorial to disseminate the work in the manner which it deems appropriate.
The editorial board reserves the right of amendments deemed necessary in the application of the rules of publication.
Resumen
Aunque la distribución normal es la piedra angular de las aplicaciones estadísticas, los datos no siempre se ajustan a los criterios de la distribución normal. En tales casos, los investigadores a menudo transforman los datos no normales en datos que siguen una distribución aproximadamente normal. Las transformaciones de potencia constituyen una familia de transformaciones que incluye las transformaciones logarítmicas y fraccional exponente. El método de Box-Cox ofrece un método simple para elegir la transformación de potencia más apropiada. Otra opción que usa cuando los datos son positivamente asimétricos, e.g., los tiempos de reacción, es la distribución Ex-Gaussiana que es una combinación de las distribuciones exponenciales y normal. En este artículo, se discuten la transformación de potencia Box-Cox y la distribución Ex-Gaussiana en relación con datos positivamente asimétricos. La discusión demuestra que la transformación Box-Cox es más sencilla de aplicar e interpretar que la distribución Ex-Gaussiana.
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Referencias
Box, G.E.P., & Cox, D. R. (1964).An analysis of transformations.Journal of the Royal Statistical Society, Series B, 26, 211–252.
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Conover, W.J. (1998). Practical Nonparametric Statistics. Hoboken, NJ: Wiley.
Heathcote, A. (1996). RTSYS: A DOS application for the analysis of reaction time data. Behavior Research Methods, Instruments, and Computers, 28, 427-445.
Heeren, T. &D’Agostino R. (1987). Robustness of the two independent samples t-test when applied to ordinal scaled data. Statistics in Medicine, 6, 79-90.
Olivier, J., Johnson, W.D., Marshall, G.D. (2008). The logarithmic transformation and the geometric mean in reporting experimental IgE results: What are they and when and why to use them?Annals of Allergy, Asthma and Immunology, 100, 333-337. Erratum in: Annals of Allergy, Asthma and Immunology, 100, 625-626.
SAS Institute Inc. (2008). SAS/STAT® 9.2 User’s Guide. Cary, NC: SAS Institute Inc.
Wackerly, D., Mendenhall W., and Scheaffer R. (2007).Mathematical Statistics with Applications, 7thEdition.Belmont, CA: Duxbury.
Brown, J. D. (1997). Statistics corner: Questions and answers about language testing statistics: Skewness and kurtosis. Shiken, 1, 20-23. Available online at www.jalt.org/test/bro_1.htm. [16 Aug. 1997].
Conover, W.J. (1998). Practical Nonparametric Statistics. Hoboken, NJ: Wiley.
Heathcote, A. (1996). RTSYS: A DOS application for the analysis of reaction time data. Behavior Research Methods, Instruments, and Computers, 28, 427-445.
Heeren, T. &D’Agostino R. (1987). Robustness of the two independent samples t-test when applied to ordinal scaled data. Statistics in Medicine, 6, 79-90.
Olivier, J., Johnson, W.D., Marshall, G.D. (2008). The logarithmic transformation and the geometric mean in reporting experimental IgE results: What are they and when and why to use them?Annals of Allergy, Asthma and Immunology, 100, 333-337. Erratum in: Annals of Allergy, Asthma and Immunology, 100, 625-626.
SAS Institute Inc. (2008). SAS/STAT® 9.2 User’s Guide. Cary, NC: SAS Institute Inc.
Wackerly, D., Mendenhall W., and Scheaffer R. (2007).Mathematical Statistics with Applications, 7thEdition.Belmont, CA: Duxbury.
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