Correlation between compositional parts based on symmetric balances
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73582561" target="_blank" >RIV/61989592:15310/17:73582561 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2Fs11004-016-9669-3" target="_blank" >https://link.springer.com/article/10.1007%2Fs11004-016-9669-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11004-016-9669-3" target="_blank" >10.1007/s11004-016-9669-3</a>
Alternative languages
Result language
angličtina
Original language name
Correlation between compositional parts based on symmetric balances
Original language description
Correlation coefficients are most popular in statistical practice for measuring pairwise variable associations. Compositional data, carrying only relative information, require a different treatment in correlation analysis. For identifying the association between two compositional parts in terms of their dominance with respect to the other parts in the composition, symmetric balances are constructed, which capture all relative information in the form of aggregated logratios of both compositional parts of interest. The resulting coordinates have the form of logratios of individual parts to a (weighted) “average representative” of the other parts, and thus, they clearly indicate howthe respective parts dominate in the composition on average. The balances form orthonormal coordinates, and thus, the standard correlation measures relying on the Euclidean geometry can be used to measure the association. Simulation studies provide deeper insight into the proposed approach, and allow for comparisons with alternative measures. An application from geochemistry (Kola moss) indicates that correlations based on symmetric balances serve as a sensitive tool to reveal underlying geochemical processes.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Geosciences
ISSN
1874-8961
e-ISSN
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Volume of the periodical
49
Issue of the periodical within the volume
6
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
20
Pages from-to
777-796
UT code for WoS article
000405827400005
EID of the result in the Scopus database
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