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Description
  • Compositional data need a special treatment prior to correlation analysis. In this paper we argue why standard transformations for compositional data are not suitable for computing correlations, and why the use of raw or log-transformed data is neither meaningful. As a solution, a procedure based on balances is outlined, leading to sensible correlation measures. The construction of the balances is demonstrated using a real data example from geochemistry. It is shown that the considered correlation measures are invariant with respect to the choice of the binary partitions forming the balances. Robust counterparts to the classical, non-robust correlation measures are introduced and applied. By using appropriate graphical representations, it is shown how the resulting correlation coefficients can be interpreted.
  • Compositional data need a special treatment prior to correlation analysis. In this paper we argue why standard transformations for compositional data are not suitable for computing correlations, and why the use of raw or log-transformed data is neither meaningful. As a solution, a procedure based on balances is outlined, leading to sensible correlation measures. The construction of the balances is demonstrated using a real data example from geochemistry. It is shown that the considered correlation measures are invariant with respect to the choice of the binary partitions forming the balances. Robust counterparts to the classical, non-robust correlation measures are introduced and applied. By using appropriate graphical representations, it is shown how the resulting correlation coefficients can be interpreted. (en)
Title
  • Correlation analysis for compositional data
  • Correlation analysis for compositional data (en)
skos:prefLabel
  • Correlation analysis for compositional data
  • Correlation analysis for compositional data (en)
skos:notation
  • RIV/61989592:15310/09:00010147!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 8
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 308393
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/09:00010147
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • correlation analysis; ilr transformation; log-ratio transformation; compositional data; balances; subcompositions; amalgamation; robust statistics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [BB21461AD27D]
http://linked.open...i/riv/nazevZdroje
  • Mathematical Geosciences
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 41
http://linked.open...iv/tvurceVysledku
  • Hron, Karel
  • Filzmoser, Peter
http://linked.open...n/vavai/riv/zamer
issn
  • 1874-8961
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
is http://linked.open...avai/riv/vysledek of
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