cenLR {robCompositions}R Documentation

Centred log-ratio transformation

Description

The cenLR transformation moves D-part compositional data from the simplex into a D-dimensional real space.

Usage

cenLR(x, base = exp(1))

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).

Details

Each composition is divided by the geometric mean of its parts before the logarithm is taken.

Value

The transformed data, including

x.clr

clr transformed data

gm

the geometric means of the original composition.

Note

The resulting transformed data set is singular by definition.

Author(s)

Matthias Templ

References

Aitchison, J. (1986) The Statistical Analysis of Compositional Data Monographs on Statistics and Applied Probability. Chapman \& Hall Ltd., London (UK). 416p.

See Also

cenLRinv, addLR, pivotCoord, addLRinv, pivotCoordInv

Examples


data(expenditures)
eclr <- cenLR(expenditures)
inveclr <- cenLRinv(eclr)
head(expenditures)
head(inveclr)
head(pivotCoordInv(eclr$x.clr))


[Package robCompositions version 2.0.6 Index]