CoDa-dendrogram: A new exploratory too
dc.contributor.author
dc.contributor.editor
dc.date.accessioned
2008-05-02T15:50:40Z
dc.date.available
2008-05-02T15:50:40Z
dc.date.issued
2005-10
dc.identifier.citation
Egozcue, J.J.; Pawlowsky Glahn, V. 'CoDa-dendrogram: A new exploratory too' a CODAWORK’05. Girona: La Universitat, 2005 [consulta: 2 maig 2008]. Necessita Adobe Acrobat. Disponible a Internet a: http://hdl.handle.net/10256/660
dc.identifier.isbn
84-8458-222-1
dc.identifier.uri
dc.description.abstract
The use of orthonormal coordinates in the simplex and, particularly, balance coordinates, has suggested the use of a dendrogram for the exploratory analysis of compositional data. The dendrogram is based on a sequential binary partition of a compositional vector into groups of parts. At each step of a partition, one group of parts is
divided into two new groups, and a balancing axis in the simplex between both groups
is defined. The set of balancing axes constitutes an orthonormal basis, and the projections of the sample on them are orthogonal coordinates. They can be represented in a
dendrogram-like graph showing: (a) the way of grouping parts of the compositional vector; (b) the explanatory role of each subcomposition generated in the partition process;
(c) the decomposition of the total variance into balance components associated with
each binary partition; (d) a box-plot of each balance. This representation is useful to
help the interpretation of balance coordinates; to identify which are the most explanatory coordinates; and to describe the whole sample in a single diagram independently
of the number of parts of the sample
dc.description.sponsorship
Geologische Vereinigung; 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; Càtedra Lluís Santaló d’Aplicacions de la Matemàtica; Consell Social de la Universitat de Girona; Ministerio de Ciencia i Tecnología.
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
CoDa-dendrogram: A new exploratory too
dc.type
info:eu-repo/semantics/conferenceObject
dc.rights.accessRights
info:eu-repo/semantics/openAccess