Title:
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Visualizing type II error in normality tests
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Author:
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Sánchez Espigares, Josep Anton; Grima Cintas, Pedro; Marco Almagro, Lluís
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa; Universitat Politècnica de Catalunya. ADBD - Anàlisi de Dades Complexes per a les Decisions Empresarials |
Abstract:
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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 |
Abstract:
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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. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica -Mathematical statistics -Statistics -Normality test -Type II error -Visualizing information -Teaching statistics -SEPD Distributions -Estadística -Estadística matemàtica -- Ensenyament |
Rights:
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Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type:
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Article - Submitted version Article |
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