2014
DOI: 10.1016/j.gexplo.2014.03.022
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Compositional data analysis in geochemistry: Are we sure to see what really occurs during natural processes?

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Cited by 122 publications
(53 citation statements)
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“…The geochemical data obtained in this work were statistically processed (Buccianti & Grunsky, 2014). The standard deviation was calculated by the Thompson-Howarth method with replicate measurements (Stanley, 2003) and shown as the error bars in appropriate figures.…”
Section: Data Processing and Statistical Approachmentioning
confidence: 99%
“…The geochemical data obtained in this work were statistically processed (Buccianti & Grunsky, 2014). The standard deviation was calculated by the Thompson-Howarth method with replicate measurements (Stanley, 2003) and shown as the error bars in appropriate figures.…”
Section: Data Processing and Statistical Approachmentioning
confidence: 99%
“…By virtue of the unit-sum constraint, CoDa can be naturally displayed only in the restricted sample space (compositional space) known as simplex and consisting of D parts or components (geochemical variables). A set of D-part composition (S D ) occupies a restricted part (from zero to, say, 100%) of a D-dimensional real space (R D ), forming a subset of its vectors [12,13,46]. The principles of the simplex as the natural sample space for compositional data are conveyed through the following expression [12,47]:…”
Section: Compositional Data Analysismentioning
confidence: 99%
“…Calculating centered log ratios allows avoiding the restrictions inherent to compositional data; that is, the data are nonnegative, asymmetric, constrained, and only carry relative information (Aitchison, 1986, 10.1029/2018GC008154 Geochemistry, Geophysics, Geosystems 1990; Buccianti & Grunsky, 2014;Weltje, 2002;Weltje & Tjallingii, 2008). After log-transformation, the data can be analyzed by statistical methods such as PCA (Aitchison, 1986;Schuenemeyer & Drew, 2011) and PLS (Bloemsma et al, 2012;Weltje et al, 2015).…”
Section: Log-ratio Transformationmentioning
confidence: 99%