Dissimilarities between categorical variables
Rodrigo Andrés Peñaloza ()
No 351, Working papers - Textos para Discussao do Departamento de Economia da Universidade de Brasilia from Departamento de Economia da Universidade de Brasilia
When we deal with two categorical variables, Ginis index of distributional transvariation is a most usefull tool to measure the distributional difference between them. By means of a modi ed transvariation, which we call Euclidean transvari- ation, we showed that our measure of transvariation can be decomposed into the difference of two terms: a measure of categorical separation and the average variabil- ity. This decomposition allows us to view the dissimilarities between two categorical variables through three di¤erent lenses: distribution, modality, and variability. Fi- nally, by de ning a simpler measure of statistical dependence based on Pearsons X2, we prove a relationship between statistical dependence and the transvariational impact of one variable onto another.
Keywords: nominal variables; transvariation; degree of dependence (search for similar items in EconPapers)
JEL-codes: C49 (search for similar items in EconPapers)
Pages: 10 pages
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