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Title: General approach to coordinate representation of compositional tables
Authors : Fačevicová, Kamila
Hron, Karel
Todorov, Valentin
Templ, Matthias
Published in : Scandinavian Journal of Statistics
Publisher / Ed. Institution : Wiley-Blackwell
Issue Date: 23-Apr-2018
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (Publication)
Language : English
Subjects : Aitchison geometry; Compositional tables; Odds ratio; Orthonormal coordinate
Subject (DDC) : 500: Natural sciences and mathematics
Abstract: 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.
Departement: School of Engineering
Organisational Unit: Institute of Data Analysis and Process Design (IDP)
Publication type: Article in scientific Journal
DOI : 10.1111/sjos.12326
ISSN: 0303-6898
Restricted until : 2019-04-23
Appears in Collections:Publikationen School of Engineering

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