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Compositional data: the sample space and its structure

Author
Egozcue, J. J.; Pawlowsky, V.
Type of activity
Journal article
Journal
Test
Date of publication
2019-09
Volume
28
Number
3
First page
599
Last page
638
DOI
10.1007/s11749-019-00670-6
Project funding
Transferring compositional data methods into applied science and technology
URL
https://link.springer.com/article/10.1007/s11749-019-00670-6 Open in new window
Abstract
The log-ratio approach to compositional data (CoDa) analysis has now entered a mature phase. The principles and statistical tools introduced by J. Aitchison in the eighties have proven successful in solving a number of applied problems. The algebraic–geometric structure of the sample space, tailored to those principles, was developed at the beginning of the millennium. Two main ideas completed the J. Aitchison’s seminal work: the conception of compositions as equivalence classes of proportio...
Keywords
Aitchison geometry, Biplot, Dendrogram, Equivalence class, Euclidean space, Household income, Isometric log-ratio coordinates, Logistic-normal, Normal distribution on the simplex, Principal balances, Principal components, Simplex

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