4. Dealing with Zeros

  1. Vera Pawlowsky-Glahn3 and
  2. Antonella Buccianti4
  1. Josep Antoni Martín-Fernández3,
  2. Javier Palarea-Albaladejo1 and
  3. Ricardo Antonio Olea2

Published Online: 28 JUL 2011

DOI: 10.1002/9781119976462.ch4

Compositional Data Analysis: Theory and Applications

Compositional Data Analysis: Theory and Applications

How to Cite

Martín-Fernández, J. A., Palarea-Albaladejo, J. and Olea, R. A. (2011) Dealing with Zeros, in Compositional Data Analysis: Theory and Applications (eds V. Pawlowsky-Glahn and A. Buccianti), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119976462.ch4

Editor Information

  1. 3

    Department of Computer Science and Applied Mathematics, University of Girona, Spain

  2. 4

    Department of Earth Sciences, University of Florence, Italy

Author Information

  1. 1

    Biomathematics and Statistics Scotland, JCMB, Edinburgh, UK

  2. 2

    US Geological Survey, USA

  3. 3

    Department of Computer Science and Applied Mathematics, University of Girona, Spain

Publication History

  1. Published Online: 28 JUL 2011
  2. Published Print: 23 SEP 2011

ISBN Information

Print ISBN: 9780470711354

Online ISBN: 9781119976462

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Keywords:

  • dealing with zeros - progress in compositional data analysis, CODA, log-ratio methodology;
  • hyperspherical approach - subject of controversy in CODA literature;
  • scale invariance and subcompositional coherence - characterizing CODA;
  • rounded zeros - occurring, where variables being continuous;
  • non-parametric replacement - of rounded zeros;
  • parametric modified EM algorithm - for rounded zeros;
  • main strategies, for rounded compositional zeros - reviewed and compared;
  • Palarea-Albaladejo and Martín-Fernández (2008) - sequential strategy, algorithm to subsets of samples free of zeros;
  • count zeros - a count, number of times an event occurs;
  • essential zeros in data sets - continuous variables or percentages, as household or time budgets

Summary

This chapter contains sections titled:

  • Introduction

  • Rounded Zeros

  • Count Zeros

  • Essential Zeros

  • Difficulties, Troubles and Challenges

  • Acknowledgements

  • References