Compositional hypotheses of subcompositional stability and specific perturbation change and their testing
dc.contributor.author
dc.contributor.editor
dc.date.accessioned
2008-05-05T15:31:00Z
dc.date.available
2008-05-05T15:31:00Z
dc.date.issued
2003-10-17
dc.identifier.citation
Aitchison, J.; Ng, K.W. 'Compositional hypotheses of subcompositional stability and specific perturbation change and their testing' a CODAWORK’03. Girona: La Universitat, 2003 [consulta: 5 maig 2008]. Necessita Adobe Acrobat. Disponible a Internet a: http://hdl.handle.net/10256/680
dc.identifier.isbn
84-8458-111-X
dc.identifier.uri
dc.description.abstract
In standard multivariate statistical analysis common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. To motivate the statistical developments of this paper we present two challenging compositional problems from food production processes.
Against this background the relevance of perturbations and subcompositions can be
clearly seen. Moreover we can identify a number of hypotheses of interest involving
the specification of particular perturbations or differences between perturbations and also hypotheses of subcompositional stability. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. We then develop appropriate estimation and testing procedures for a complete lattice of relevant compositional hypotheses
dc.description.sponsorship
Geologische Vereinigung; Universitat de Barcelona, Equip de Recerca Arqueomètrica; Institut d’Estadística de Catalunya; International Association for Mathematical Geology; Patronat de l’Escola Politècnica Superior de la Universitat de Girona; Fundació privada: Girona, Universitat i Futur.
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Universitat de Girona. Departament d’Informàtica i Matemàtica Aplicada
dc.rights
Tots els drets reservats
dc.subject
dc.title
Compositional hypotheses of subcompositional stability and specific perturbation change and their testing
dc.type
info:eu-repo/semantics/conferenceObject
dc.rights.accessRights
info:eu-repo/semantics/openAccess