Centred logratio coefficients
The centred logratio (clr) coefficients map D-part compositional data from the simplex into a D-dimensional real space.
cenLR(x, base = exp(1))
x |
multivariate data, ideally of class data.frame or matrix |
base |
a positive or complex number:
the base with respect to which logarithms are computed. Defaults to |
Each composition is divided by the geometric mean of its parts before the logarithm is taken.
the resulting clr coefficients, including
x.clr |
clr coefficients |
gm |
the geometric means of the original compositional data. |
The resulting data set is singular by definition.
Matthias Templ
Aitchison, J. (1986) The Statistical Analysis of Compositional Data Monographs on Statistics and Applied Probability. Chapman \& Hall Ltd., London (UK). 416p.
data(expenditures) eclr <- cenLR(expenditures) inveclr <- cenLRinv(eclr) head(expenditures) head(inveclr) head(pivotCoordInv(eclr$x.clr))
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