Measuring subcompositional incoherence
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Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/366734
Tipus de documentText en actes de congrés
Data publicació2011
EditorCIMNE
Condicions d'accésAccés obert
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Abstract
Subcompositional coherence is a fundamental property of Aitchison’s approach to compositional
data analysis, and is the principal justification for using ratios of components. For dimension
reduction of a matrix of compositional data, either an unweighted (Aitchison & Greenacre 2002) or
weighted (Greenacre & Lewi 2009; Greenacre 2010a: chapter 7) form of log-ratio analysis can be
used, and these are both subcompositionally coherent. Many alternative methods that might be
applied to compositional data are subcompositionally incoherent, but some can be judged to be less
incoherent than others. In other words, either for a particular data set, or in general, a method might
actually be quite subcompositionally “robust” in that its results for a subcomposition are quite close
to its results for the same components as part of a full composition.
So we propose that lack of subcompositional coherence, that is subcompositional incoherence,
can be measured in an attempt to evaluate whether any given technique is close enough, for all
practical purposes, to being subcompositionally coherent. This opens up the field to alternative
methods, which might be better suited to cope with problems such as data zeros and outliers, while
being only slightly incoherent.
CitacióGreenacre, M. Measuring subcompositional incoherence. A: CODAWORK 2011. "Proceedings of CoDaWork'11: 4th international workshop on Compositional Data Analysis, Egozcue, J.J., Tolosana-Delgado, R. and Ortego, M.I. (eds.) 2011". Barcelona: CIMNE, 2011, ISBN 978-84-87867-76-7.
ISBN978-84-87867-76-7
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