Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks

Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks

This study investigated how population parameters representing heterogeneity of variance, skewness, kurtosis, bimodality, and outlier-proneness, drawn from normal and eleven non-normal distributions, also characterized the ranks corresponding to independent samples of scores. When the parameters of...

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Main Author: Donald W. Zimmerman
Format: Article
Language:English
Published: Sciendo 2011-01-01
Series:Psicológica
Online Access:http://www.redalyc.org/articulo.oa?id=16917012005
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spelling doaj-e5a7b4575ac84990a682d229b1099d7f2021-08-02T03:53:02ZengSciendoPsicológica1576-85972011-01-013216585Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to RanksDonald W. ZimmermanThis study investigated how population parameters representing heterogeneity of variance, skewness, kurtosis, bimodality, and outlier-proneness, drawn from normal and eleven non-normal distributions, also characterized the ranks corresponding to independent samples of scores. When the parameters of population distributions from which samples were drawn were different, the ranks corresponding to the same pairs of samples of scores inherited similar differences. This finding explains some known results concerning Type I error probabilities and the relative power of parametric and nonparametric tests for various non-normal densities.http://www.redalyc.org/articulo.oa?id=16917012005
collection DOAJ
language English
format Article
sources DOAJ
author Donald W. Zimmerman
spellingShingle Donald W. Zimmerman
Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
Psicológica
author_facet Donald W. Zimmerman
author_sort Donald W. Zimmerman
title Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
title_short Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
title_full Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
title_fullStr Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
title_full_unstemmed Inheritance of Properties of Normal and Non-Normal Distributions After Transformation of Scores to Ranks
title_sort inheritance of properties of normal and non-normal distributions after transformation of scores to ranks
publisher Sciendo
series Psicológica
issn 1576-8597
publishDate 2011-01-01
description This study investigated how population parameters representing heterogeneity of variance, skewness, kurtosis, bimodality, and outlier-proneness, drawn from normal and eleven non-normal distributions, also characterized the ranks corresponding to independent samples of scores. When the parameters of population distributions from which samples were drawn were different, the ranks corresponding to the same pairs of samples of scores inherited similar differences. This finding explains some known results concerning Type I error probabilities and the relative power of parametric and nonparametric tests for various non-normal densities.
url http://www.redalyc.org/articulo.oa?id=16917012005
work_keys_str_mv AT donaldwzimmerman inheritanceofpropertiesofnormalandnonnormaldistributionsaftertransformationofscorestoranks
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