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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Bibliographic Details
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
Description
Summary: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.
ISSN:1576-8597