A Critical Approach to Non-Parametric Classification of Compositional Data

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.