2018
DOI: 10.1007/978-3-319-96422-5
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Applied Compositional Data Analysis

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Cited by 221 publications
(253 citation statements)
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“…For the purpose of compositional regression analysis, compositions were mapped into real space using isometric log-ratio (ilr) transformation [29]. Specifically, compositional covariates were expressed through pivot coordinates which enable for interpretation in terms of dominance of a given compositional part with reference to the rest of components in the first coordinate (e.g., ilr 1 ) [30]. For this purpose, the compositional parts were permutated, as explained in detail in previous papers [19,22].…”
Section: Discussionmentioning
confidence: 99%
“…For the purpose of compositional regression analysis, compositions were mapped into real space using isometric log-ratio (ilr) transformation [29]. Specifically, compositional covariates were expressed through pivot coordinates which enable for interpretation in terms of dominance of a given compositional part with reference to the rest of components in the first coordinate (e.g., ilr 1 ) [30]. For this purpose, the compositional parts were permutated, as explained in detail in previous papers [19,22].…”
Section: Discussionmentioning
confidence: 99%
“…The observations were compositional because the biomass proportions of all plant species in each survey of a subplot summed to one. The estimated values in each survey were therefore transformed into centred logratio coefficients (Filzmoser, Hron, & Templ, ; see Supporting Information S4 for details). Selection was inferred from the difference d i in biomass proportions before and after grazing.…”
Section: Methodsmentioning
confidence: 99%
“…An appropriate normalization or transformation has been performed by one of the two methods: (a) The normalization to a constant row sum of 100 describes the ions counts as percentages of the nine ion species and is preferred for interpretation. (b) A centered log‐ratio (CLR) transformation of X is recommended for compositional data, defined as x CLR [ i, j ] = log ( x [ i, j ] / G [ i ]) with G [ i ] for the geometric mean of all variables of object i. Calculation of G requires values >0; to overcome this problem, x‐values lower than the 0.05 quantile ( q 0.05 , separately for each variable) were replaced by uniformly distributed random numbers between q 0.05 /5 and q 0.05 .…”
Section: Methodsmentioning
confidence: 99%
“…An appropriate normalization or transformation has been performed by one of the two methods: (a) The normalization to a constant row sum of 100 describes the ions counts as percentages of the nine ion species and is preferred for interpretation. (b) A centered log-ratio (CLR) transformation of X is recommended for compositional data, 13 defined as…”
Section: Spectral Datamentioning
confidence: 99%