About: Robust factor analysis for compositional data

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Factor analysis as a dimension reduction technique is widely used with compositional data. Using the method for raw data or for improperly transformed data will, however, lead to biased results and consequently to misleading interpretations. Although some procedures, suitable for factor analysis with compositional data, were already developed, they require pre-knowledge of variable groups, or are complicated to handle. We present an approach based on the centred logratio (clr) transformation that does not build on this pre-knowledge, but still recognizes the specific character of compositional data. In addition, by using the isometric logratio transformation it is possible to robustify factor analysis using a robust estimation of the covariance matrix. A back-transformation of the results to the clr space allows an interpretation of the results with compositional biplots. The method is demonstrated with data from the Kola project, a large ecogeochemical mapping project in northern Europe. Factor analysis as a dimension reduction technique is widely used with compositional data. Using the method for raw data or for improperly transformed data will, however, lead to biased results and consequently to misleading interpretations. Although some procedures, suitable for factor analysis with compositional data, were already developed, they require pre-knowledge of variable groups, or are complicated to handle. We present an approach based on the centred logratio (clr) transformation that does not build on this pre-knowledge, but still recognizes the specific character of compositional data. In addition, by using the isometric logratio transformation it is possible to robustify factor analysis using a robust estimation of the covariance matrix. A back-transformation of the results to the clr space allows an interpretation of the results with compositional biplots. The method is demonstrated with data from the Kola project, a large ecogeochemical mapping project in northern Europe. (en)
Title	Robust factor analysis for compositional data Robust factor analysis for compositional data (en)
skos:prefLabel	Robust factor analysis for compositional data Robust factor analysis for compositional data (en)
skos:notation	RIV/61989592:15310/09:00010055!RIV10-MSM-15310___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Hron, Karel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	339578
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/09:00010055
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Centred logratio transformation; Isometric logratio transformation; Factor analysis; Compositional biplot; Robust estimation (en)
http://linked.open.../riv/klicoveSlovo	Robust estimation Compositional biplot Factor analysis Centred logratio transformation Isometric logratio transformation
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[14135668F6F3]
http://linked.open...i/riv/nazevZdroje	Computers & Geosciences
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	35
http://linked.open...iv/tvurceVysledku	Hron, Karel Filzmoser, Peter Reimann, Clemens Garrett, Robert
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
issn	0098-3004
number of pages	8 (xsd:int)
http://localhost/t...ganizacniJednotka	15310

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