Regression among parts of compositional data with an economic application

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33153544" target="_blank" >RIV/61989592:15310/14:33153544 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Regression among parts of compositional data with an economic application
Original language description
Compositional data follow the Aitchison geometry on the simplex. Therefore, it is not appropriate to apply regression analysis directly to the raw compositional data. For this purpose, isometric logratio (ilr) coordinates were formed to express compositional data in coordinates with respect to an orthonormal basis on the simplex. For regression analysis between the response part and an explanatory subcomposition such coordinates are required that enable assigning coordinates to both the response variable and one of the covariates simultaneously. Moreover, as all coordinates contain measurement errors, the use of ordinary least squares regression for parameter estimation would lead to biased results. Therefore, orthogonal regression is used leading to an intuitive geometric interpretation. In the application part, the relation between different activities of gross value added (that form inherently compositional data) are investigated in ilr coordinates.
Czech name
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Czech description
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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Mathematical Methods in Economics MME 2014 Conference Proceedings
ISBN
978-80-244-4209-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
337-342
Publisher name
Univerzita Palackého
Place of publication
Olomouc
Event location
Olomouc
Event date
Sep 10, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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