Visualizing type II error in normality tests
Visualitza/Obre
10.1080/00031305.2016.1278035
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/107442
Tipus de documentArticle
Data publicació2018-01-26
Condicions d'accésAccés obert
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continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
A Skewed Exponential Power Distribution, with parameters defining kurtosis and skewness, is introduced as a way to visualize Type II error in normality tests. By varying these parameters a mosaic of distributions is built, ranging from double exponential to uniform or from positive to negative exponential; the normal distribution is a particular case located in the center of the mosaic. Using a sequential color scheme, a different color is assigned to each distribution in the mosaic depending on the probability of committing a Type II error. This graph gives a visual representation of the power of the performed test. This way of representing results facilitates the comparison of the power of various tests and the influence of sample size. A script to perform this graphical representation, programmed in the R statistical software, is available online as supplementary material.
Descripció
This is an Accepted Manuscript of an article published by Taylor & Francis in “Visualizing type II error in normality tests” on 19th January 2017, available online: http://www.tandfonline.com/doi/full/10.1080/00031305.2016.1278035
CitacióSanchez-Espigares, J., Grima, P., Marco-Almagro, L. Visualizing type II error in normality tests. "American statistician", 26 Gener 2018, vol. 172, núm. 2, p. 158-162.
ISSN0003-1305
Versió de l'editorhttps://www.tandfonline.com/doi/abs/10.1080/00031305.2016.1278035
Fitxers | Descripció | Mida | Format | Visualitza |
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Visualizing Type II Error UNBLINDED.pdf | Postprint | 1,792Mb | Visualitza/Obre |