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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-2686
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dc.contributor.authorFačevicová, Kamila-
dc.contributor.authorHron, Karel-
dc.contributor.authorTodorov, Valentin-
dc.contributor.authorTempl, Matthias-
dc.date.accessioned2018-05-24T06:39:15Z-
dc.date.available2018-05-24T06:39:15Z-
dc.date.issued2018-04-23-
dc.identifier.issn0303-6898de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/6032-
dc.descriptionThis 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.de_CH
dc.description.abstractCompositional 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.de_CH
dc.language.isoende_CH
dc.publisherWileyde_CH
dc.relation.ispartofScandinavian Journal of Statisticsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectAitchison geometryde_CH
dc.subjectCompositional tablesde_CH
dc.subjectOdds ratiode_CH
dc.subjectOrthonormal coordinatede_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleGeneral approach to coordinate representation of compositional tablesde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Datenanalyse und Prozessdesign (IDP)de_CH
dc.identifier.doi10.21256/zhaw-2686-
dc.identifier.doi10.1111/sjos.12326de_CH
zhaw.funding.euNode_CH
zhaw.originated.zhawYesde_CH
zhaw.publication.statusacceptedVersionde_CH
zhaw.embargo.end2019-04-23de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
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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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