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https://doi.org/10.21256/zhaw-2686| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | General approach to coordinate representation of compositional tables |
| Authors: | Fačevicová, Kamila Hron, Karel Todorov, Valentin Templ, Matthias |
| DOI: | 10.21256/zhaw-2686 10.1111/sjos.12326 |
| Published in: | Scandinavian Journal of Statistics |
| Issue Date: | 23-Apr-2018 |
| Publisher / Ed. Institution: | Wiley |
| ISSN: | 0303-6898 |
| Language: | English |
| Subjects: | Aitchison geometry; Compositional tables; Odds ratio; Orthonormal coordinate |
| Subject (DDC): | 510: 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. |
| Further description: | This is the peer reviewed version which has been published in final form at [https://doi.org/10.1111/sjos.12326]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/6032 |
| Fulltext version: | Accepted version |
| License (according to publishing contract): | Licence according to publishing contract |
| Restricted until: | 2019-04-23 |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Data Analysis and Process Design (IDP) |
| Appears in collections: | Publikationen School of Engineering |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018_Templ_Gen Appr to coord repres of compo tables_Scand J Statist.pdf | Accepted Version | 465.28 kB | Adobe PDF |  View/Open |
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Fačevicová, K., Hron, K., Todorov, V., & Templ, M. (2018). General approach to coordinate representation of compositional tables. Scandinavian Journal of Statistics. https://doi.org/10.21256/zhaw-2686
Fačevicová, K. et al. (2018) ‘General approach to coordinate representation of compositional tables’, Scandinavian Journal of Statistics [Preprint]. Available at: https://doi.org/10.21256/zhaw-2686.
K. Fačevicová, K. Hron, V. Todorov, and M. Templ, “General approach to coordinate representation of compositional tables,” Scandinavian Journal of Statistics, Apr. 2018, doi: 10.21256/zhaw-2686.
FAČEVICOVÁ, Kamila, Karel HRON, Valentin TODOROV und Matthias TEMPL, 2018. General approach to coordinate representation of compositional tables. Scandinavian Journal of Statistics. 23 April 2018. DOI 10.21256/zhaw-2686
Fačevicová, Kamila, Karel Hron, Valentin Todorov, and Matthias Templ. 2018. “General Approach to Coordinate Representation of Compositional Tables.” Scandinavian Journal of Statistics, April. https://doi.org/10.21256/zhaw-2686.
Fačevicová, Kamila, et al. “General Approach to Coordinate Representation of Compositional Tables.” Scandinavian Journal of Statistics, Apr. 2018, https://doi.org/10.21256/zhaw-2686.
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