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Visualizing type II error in normality tests

Author
Sanchez, J.; Grima, P.; Marco-Almagro, L.
Type of activity
Journal article
Journal
American statistician
Date of publication
2018-01-26
Volume
72
Number
2
First page
158
Last page
162
DOI
https://doi.org/10.1080/00031305.2016.1278035 Open in new window
Repository
http://hdl.handle.net/2117/107442 Open in new window
URL
https://www.tandfonline.com/doi/abs/10.1080/00031305.2016.1278035 Open in new window
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...
Citation
Sanchez-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.
Keywords
Normality test, SEPD Distributions, Teaching statistics, Type II error, Visualizing information
Group of research
ADBD - Analysis of Complex Data for Business Decisions

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