The centred logratio (clr) coefficients map D-part compositional data from the simplex
into a D-dimensional real space.
Usage
cenLR(x, base = exp(1))
Value
the resulting clr coefficients, including
x.clr
clr coefficients
gm
the geometric means of the original compositional data.
Arguments
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 exp(1).
Author
Matthias Templ
Details
Each composition is divided by the geometric mean of its parts before the
logarithm is taken.
References
Aitchison, J. (1986) The Statistical Analysis of
Compositional Data Monographs on Statistics and Applied Probability.
Chapman and Hall Ltd., London (UK). 416p.