Compositional biplots including external non-compositional variables
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33159844" target="_blank" >RIV/61989592:15310/16:33159844 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/02331888.2015.1135155" target="_blank" >http://dx.doi.org/10.1080/02331888.2015.1135155</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/02331888.2015.1135155" target="_blank" >10.1080/02331888.2015.1135155</a>
Alternative languages
Result language
angličtina
Original language name
Compositional biplots including external non-compositional variables
Original language description
Biplots represent a widely used statistical tool for visualizing the resulting loadings and scores of a dimension reduction technique applied to multivariate data. If the underlying data carry only relative information (i.e. compositional data expressed in proportions, mg/kg, etc.) they have to be pre-processed with a logratio transformation before the dimension reduction is carried out. In the context of principal component analysis, the resulting biplot is called compositional biplot. We introduce an alternative, the ilr biplot, which is based on a special choice of orthonormal coordinates resulting from an isometric logratio (ilr) transformation. This allows to incorporate also external non-compositional variables, and to study the relations to the compositional variables. The methodology is demonstrated on real data sets.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.20.0170" target="_blank" >EE2.3.20.0170: Building of Research Team in the Field of Environmental Modeling and the Use of Geoinformation Systems with the Consequence in Participation in International Networks and Programs</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Statistics : a journal of theoretical and applied statistics
ISSN
0233-1888
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
17
Pages from-to
1132-1148
UT code for WoS article
000381061300010
EID of the result in the Scopus database
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