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  • The log-ratio methodology represents a powerful set of methods and techniques for statistical analysis of compositional data. These techniques may be used for the estimation of rounded zeros or values below the detection limit in cases when the underlying data are compositional in nature. An algorithm based on iterative log-ratio regressions is developed by combining a particular family of isometric log-ratio transformations with censored regression. In the context of classical regression methods, the equivalence of the method based on additive and isometric log-ratio transformations is proved. This equivalence does not hold for robust regression. Based on Monte Carlo methods, simulations are performed to assess the performance of classical and robust methods. To illustrate the method, a case study involving geochemical data is conducted.
  • The log-ratio methodology represents a powerful set of methods and techniques for statistical analysis of compositional data. These techniques may be used for the estimation of rounded zeros or values below the detection limit in cases when the underlying data are compositional in nature. An algorithm based on iterative log-ratio regressions is developed by combining a particular family of isometric log-ratio transformations with censored regression. In the context of classical regression methods, the equivalence of the method based on additive and isometric log-ratio transformations is proved. This equivalence does not hold for robust regression. Based on Monte Carlo methods, simulations are performed to assess the performance of classical and robust methods. To illustrate the method, a case study involving geochemical data is conducted. (en)
Title
  • Model-based replacement of rounded zeros in compositional data: Classical and robust approaches
  • Model-based replacement of rounded zeros in compositional data: Classical and robust approaches (en)
skos:prefLabel
  • Model-based replacement of rounded zeros in compositional data: Classical and robust approaches
  • Model-based replacement of rounded zeros in compositional data: Classical and robust approaches (en)
skos:notation
  • RIV/61989592:15310/12:33141584!RIV13-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • S
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  • 9
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http://linked.open...dnocenehoVysledku
  • 150965
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/12:33141584
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Balances, EM algorithm, Log-ratio transformations, Robust regression, Values below detection limit (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [DC7FF815A5A5]
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  • Computational Statistics and Data Analysis
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  • 56
http://linked.open...iv/tvurceVysledku
  • Hron, Karel
  • Filzmoser, Peter
  • Templ, Matthias
  • Martín-Fernández, Josep Antoni
  • Palarea-Albaladejo, Javier
http://linked.open...ain/vavai/riv/wos
  • 000304073600007
issn
  • 0167-9473
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.csda.2012.02.012
http://localhost/t...ganizacniJednotka
  • 15310
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