Exploratory data analysis for interval compositional data

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73582553" target="_blank" >RIV/61989592:15310/17:73582553 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007%2Fs11634-016-0245-y" target="_blank" >https://link.springer.com/article/10.1007%2Fs11634-016-0245-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11634-016-0245-y" target="_blank" >10.1007/s11634-016-0245-y</a>

Result language

angličtina

Original language name

Exploratory data analysis for interval compositional data

Original language description

Compositional data are considered as data where relative contributions of parts on a whole, conveyed by (log-)ratios between them, are essential for the analysis. In Symbolic Data Analysis (SDA), we are in the framework of interval data when elements are characterized by variables whose values are intervals on R representing inherent variability. In this paper, we address the special problem of the analysis of interval compositions, i.e., when the interval data are obtained by the aggregation of compositions. It is assumed that the interval information is represented by the respective midpoints and ranges, and both sources of information are considered as compositions. In this context, we introduce the representation of interval data as three-way data. In the framework of the log-ratio approach from compositional data analysis, it is outlined how interval compositions can be treated in an exploratory context. The goal of the analysis is to represent the compositions by coordinates which are interpretable in terms of the original compositional parts. This is achieved by summarizing all relative information (logratios) about each part into one coordinate from the coordinate system. Based on an example from the European Union Statistics on Income and Living Conditions (EU-SILC), several possibilities for an exploratory data analysis approach for interval compositions are outlined and investigated.

Czech name

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Czech description

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Type

J_imp - 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

Project

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Continuities

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in Data Analysis and Classification

ISSN

1862-5347

e-ISSN

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Volume of the periodical

11

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

19

Pages from-to

223-241

UT code for WoS article

000402179000002

EID of the result in the Scopus database

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