Mathematical Geology

, Volume 35, Issue 3, pp 253–278

Dealing with Zeros and Missing Values in Compositional Data Sets Using Nonparametric Imputation

  • J. A. Martín-Fernández
  • C. Barceló-Vidal
  • V. Pawlowsky-Glahn
Article

DOI: 10.1023/A:1023866030544

Cite this article as:
Martín-Fernández, J.A., Barceló-Vidal, C. & Pawlowsky-Glahn, V. Mathematical Geology (2003) 35: 253. doi:10.1023/A:1023866030544

Abstract

The statistical analysis of compositional data based on logratios of parts is not suitable when zeros are present in a data set. Nevertheless, if there is interest in using this modeling approach, several strategies have been published in the specialized literature which can be used. In particular, substitution or imputation strategies are available for rounded zeros. In this paper, existing nonparametric imputation methods—both for the additive and the multiplicative approach—are revised and essential properties of the last method are given. For missing values a generalization of the multiplicative approach is proposed.

Aitchison distance detection limit logratio transformation simplex, stress threshold 

Copyright information

© International Association for Mathematical Geology 2003

Authors and Affiliations

  • J. A. Martín-Fernández
    • 1
  • C. Barceló-Vidal
    • 1
  • V. Pawlowsky-Glahn
    • 1
  1. 1.Dept. Informàtica i Matemàtica AplicadaUniversitat de GironaGironaSpain