General approach to coordinate representation of compositional tables
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73586037" target="_blank" >RIV/61989592:15310/18:73586037 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15410/18:73586037
Result on the web
<a href="http://dx.doi.org/10.1111/sjos.12326" target="_blank" >http://dx.doi.org/10.1111/sjos.12326</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1111/sjos.12326" target="_blank" >10.1111/sjos.12326</a>
Alternative languages
Result language
angličtina
Original language name
General approach to coordinate representation of compositional tables
Original language description
Compositional tables can be considered a continuous counterpart to the well-known contingency tables. Their cells, which generally contain positive real numbers rather than just counts, carry relative information about relationships between two factors. Hence, compositional tables can be seen as a generalization of (vector) compositional data. Due to their relative character, compositions are commonly expressed in orthonormal coordinates using a sequential binary partition prior to being further processed by standard statistical tools. Unfortunately, the resulting coordinates do not respect the two-dimensional nature of compositional tables. Information about relationship between factors is thus not well captured. The aim of this paper is to present a general system of orthonormal coordinates with respect to the Aitchison geometry, which allows for an analysis of the interactions between factors in a compositional table. This is achieved using logarithms of odds ratios, which are also widely used in the context of contingency tables.
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
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Scandinavian Journal of Statistics
ISSN
0303-6898
e-ISSN
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Volume of the periodical
2018
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
21
Pages from-to
879-899
UT code for WoS article
000450039100003
EID of the result in the Scopus database
2-s2.0-85045852379