Systematik der Schiefemessung für ordinalskalierte Merkmale

Ingo Klein

No 26/1998, Discussion Papers from Friedrich-Alexander University Erlangen-Nuremberg, Chair of Statistics and Econometrics

Abstract: We derive almost all known measures of skewness from differences of probability or differences of quantiles. Because ordinal variables are measured non-uniquely with respect to strictly increasing transformations functions of differences of quantiles cannot be used to describe the skewness of these variables. Therefore, we construct a class of very simple measures of skewness as functions of differences of probability. The concepts are illustrated by the binomial- and the beta-distribution.

Date: 1999
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