Relative variation diagrams for describing patterns of compositional variability |
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| Authors: | J Aitchison |
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| Institution: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, Virginia |
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| Abstract: | In recognizing that a composition, such as a major oxide or sediment composition, provides information only about the relative, not the absolute, magnitudes of its components, this paper exposes the compositional variation array as the simplest and minimum way of summarizing the pattern of variability within a compositional data set. Such summaries are free of the notorious hazards of the constant-sum constraint and when depicted in relative variation diagrams can often provide substantial insights into the nature of the compositional variability. Concepts and practice are illustrated by reference to a number of real data sets. |
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| Keywords: | Compositional data analysis compositional variation array constant-sum problem logratio analysis relative variation diagram singular value decomposition |
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