A Critical Approach to Non-Parametric Classification of Compositional Data
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TL;DR
The requirements for specific measures of difference, central tendency and dispersion when the data set to classify is a compositional data set are presented.
Abstract
The application of hierarchic methods of classification needs to establish in advance some or all of the following measures: difference, central tendency and dispersion, in accordance with the nature of the data. In this work, we present the requirements for these measures when the data set to classify is a compositional data set. Specific measures of difference, central tendency and dispersion are defined to be used with the most usual non-parametric methods of classification.