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Revisiting the compositional data. Some fundamental questions and new prospects in Archaeometry and Archaeology

In this paper we examine the problem of compositional data from a different starting point. Chemical compositional data, as used in provenance studies on archaeological materials, will be approached from the measurement theory. The results will show, in a very intuitive way that chemical data can only be treated by using the approach developed for compositional data. It will be shown that compositional data analysis is a particular case in projective geometry, when the projective coordinates are in the positive orthant, and they have the properties of logarithmic interval metrics. Moreover, it will be shown that this approach can be extended to a very large number of applications, including shape analysis. This will be exemplified with a case study in architecture of Early Christian churches dated back to the 5th-7th centuries AD

Geologische Vereinigung; Institut d鈥橢stad铆stica de Catalunya; International Association for Mathematical Geology; C脿tedra Llu铆s Santal贸 d鈥橝plicacions de la Matem脿tica; Generalitat de Catalunya, Departament d鈥橧nnovaci贸, Universitats i Recerca; Ministerio de Educaci贸n y Ciencia; Ingenio 2010.

Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada

Manager: Daunis i Estadella, Josep
Mart铆n Fern谩ndez, Josep Antoni
Other contributions: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Author: Buxeda i Garrig贸s, Jaume
Date: 2008 May 30
Abstract: In this paper we examine the problem of compositional data from a different starting point. Chemical compositional data, as used in provenance studies on archaeological materials, will be approached from the measurement theory. The results will show, in a very intuitive way that chemical data can only be treated by using the approach developed for compositional data. It will be shown that compositional data analysis is a particular case in projective geometry, when the projective coordinates are in the positive orthant, and they have the properties of logarithmic interval metrics. Moreover, it will be shown that this approach can be extended to a very large number of applications, including shape analysis. This will be exemplified with a case study in architecture of Early Christian churches dated back to the 5th-7th centuries AD
Geologische Vereinigung; Institut d鈥橢stad铆stica de Catalunya; International Association for Mathematical Geology; C脿tedra Llu铆s Santal贸 d鈥橝plicacions de la Matem脿tica; Generalitat de Catalunya, Departament d鈥橧nnovaci贸, Universitats i Recerca; Ministerio de Educaci贸n y Ciencia; Ingenio 2010.
Format: application/pdf
Citation: Buxeda i Garrig贸s, J. 鈥橰evisiting the compositional data. Some fundamental questions and new prospects in Archaeometry and Archaeology鈥 a CODAWORK鈥08. Girona: La Universitat, 2008 [consulta: 15 maig 2008]. Necessita Adobe Acrobat. Disponible a Internet a: http://hdl.handle.net/10256/749
Document access: http://hdl.handle.net/10256/749
Language: eng
Publisher: Universitat de Girona. Departament d鈥橧nform脿tica i Matem脿tica Aplicada
Rights: Tots els drets reservats
Subject: Geoqu铆mica
Geometria projectiva
Arqueometria
Title: Revisiting the compositional data. Some fundamental questions and new prospects in Archaeometry and Archaeology
Type: info:eu-repo/semantics/conferenceObject
Repository: DUGiDocs

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