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Advances in principal balances for compositional data

Author
Martín-Fernández, J. A.; Pawlowsky, V.; Egozcue, J. J.; Tolosana-Delgado, R.
Type of activity
Journal article
Journal
Mathematical geosciences
Date of publication
2018-04
Volume
50
Number
3
First page
273
Last page
298
DOI
https://doi.org/10.1007/s11004-017-9712-z Open in new window
Repository
https://www.researchgate.net/publication/321235488_Advances_in_Principal_Balances_for_Compositional_Data Open in new window
URL
https://link.springer.com/article/10.1007%2Fs11004-017-9712-z Open in new window
Abstract
Compositional data analysis requires selecting an orthonormal basis with which to work on coordinates. In most cases this selection is based on a data driven criterion. Principal component analysis provides bases that are, in general, functions of all the original parts, each with a different weight hindering their interpretation. For interpretative purposes, it would be better to have each basis component as a ratio or balance of the geometric means of two groups of parts, leaving irrelevant pa...
Keywords
Aitchison norm, Cluster analysis, Compositions, Isometric logratio coordinates, Principal component analysis, Simplex
Group of research
COSDA-UPC - COmpositional and Spatial Data Analysis
LIM/UPC - Maritime Engineering Laboratory

Participants

  • Martín Fernández, Josep Antoni  (author)
  • Pawlowsky Glahn, Vera  (author)
  • Egozcue Rubi, Juan José  (author)
  • Tolosana Delgado, Raimon  (author)