Advertisement

A Critical Approach to Non-Parametric Classification of Compositional Data

  • J. A. Martín-Fernández
  • C. Barceló-Vidal
  • V. Pawlowsky-Glahn
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

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.

Key words

Compositional Data Cluster analysis Classification 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aitchison, J., (1986). The Statistical Analysis of Compositional Data. Chapman and Hall, New York (USA), 416 p.CrossRefGoogle Scholar
  2. Aitchison, J., (1992). On Criteria for Measures of Compositional Difference, Mathematical Geology, vol. 24, No. 4, pp. 365–379CrossRefGoogle Scholar
  3. Aitchison, J., (1997). The one-hour course in compositional data analysis or compositional data analysis is simple, in: Proceedings of IAMG’97 - The 1997 Annual Conference of the International Association for Mathematical Geology, Ed. Pawlowsky-Glahn, V., CIMNE, Barcelona (E), Part I, pp. 3–35.Google Scholar
  4. Everitt, BS., (1993). Cluster Analysis. Edward Arnold, Cambridge (UK), 170 p.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1998

Authors and Affiliations

  • J. A. Martín-Fernández
    • 1
  • C. Barceló-Vidal
    • 1
  • V. Pawlowsky-Glahn
    • 2
  1. 1.Dept. d’Informàtica i Matemàtica Aplicada, Escola Politècnica SuperiorUniversitat de GironaGironaSpain
  2. 2.Dept. de Matemàtica Aplicada III, ETS de Eng. de Camins, Canals i PortsUniversitat Politècnica de CatalunyaBarcelonaSpain

Personalised recommendations