Exploring Compositional Data with the CoDa-Dendrogram
dc.contributor.author
dc.date.accessioned
2014-09-22T07:42:53Z
dc.date.available
2014-09-22T07:42:53Z
dc.date.issued
2011
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dc.description.abstract
Within the special geometry of the simplex, the sample space of compositional data, compositional orthonormal coordinates allow the application of any multivariate statistical approach. The search for meaningful coordinates has suggested balances (between two groups of parts)—based on a sequential binary partition of a D-part composition—and a representation in form of a CoDa-dendrogram. Projected samples are represented in a dendrogram-like graph showing: (a) the way of grouping parts; (b) the explanatory role of subcompositions generated in the partition process; (c) the decomposition of the variance; (d) the center and quantiles of each balance. The representation is useful for the interpretation of balances and to describe the sample in a single diagram independently of the number of parts. Also, samples of two or more populations, as well as several samples from the same population, can be represented in the same graph, as long as they have the same parts registered. The approach is illustrated with an example of food consumption in Europe
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application/pdf
dc.language.iso
eng
dc.publisher
Austrian Statistical Society
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Reproducció digital del document publicat a: http://www.ajs.or.at/index.php/ajs/index
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© Austrian Journal of Statistics, 2011, vol. 40, núm. 1-2, p. 103-113
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.subject
dc.title
Exploring Compositional Data with the CoDa-Dendrogram
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.idgrec
015164