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  • Compositional data, data containing relative rather than absolute information, need to be transformed to the usual Euclidean geometry before the standard statistical tools can be applied. Different possible transformations and their properties are discussed. For robust multivariate methods based on a robust covariance estimation, it is crucial to use a transformation that avoids singularity issues. Moreover, the robust location and covariance estimators need to be affine equivariant in order to obtain invariance of the results from the transformation used. Here, different robust multivariate methods are discussed for compositional data analysis, like principal component and discriminant analysis, and applied to a data set from geochemistry.
  • Compositional data, data containing relative rather than absolute information, need to be transformed to the usual Euclidean geometry before the standard statistical tools can be applied. Different possible transformations and their properties are discussed. For robust multivariate methods based on a robust covariance estimation, it is crucial to use a transformation that avoids singularity issues. Moreover, the robust location and covariance estimators need to be affine equivariant in order to obtain invariance of the results from the transformation used. Here, different robust multivariate methods are discussed for compositional data analysis, like principal component and discriminant analysis, and applied to a data set from geochemistry. (en)
Title
  • Robustness for compositional data
  • Robustness for compositional data (en)
skos:prefLabel
  • Robustness for compositional data
  • Robustness for compositional data (en)
skos:notation
  • RIV/61989592:15310/13:33144753!RIV14-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(EE2.3.20.0170)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 103184
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/13:33144753
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http://linked.open.../riv/klicovaSlova
  • compositional data, robust statistics, principal component analysis, discriminant analysis, outlier detection (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [63AF6F6A295B]
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Robustness and Complex Data Structures
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...v/pocetStranKnihy
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hron, Karel
  • Filzmoser, Peter
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-35493-9
http://localhost/t...ganizacniJednotka
  • 15310
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