clr_basis: Centered log-ratio basis
In coda.base: A Basic Set of Functions for Compositional Data Analysis

clr_basis

R Documentation

Centered log-ratio basis

Description

Compute the transformation matrix to express a composition using the linearly dependant centered log-ratio coordinates.

Usage

clr_basis(dim)

Arguments

dim

An integer indicating the number of components. If a dataframe or matrix is provided, the number of components is inferred from the number of columns. If a character vector specifying the names of the parts is provided the number of component is its length.

Value

matrix

References

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

Examples

(B <- clr_basis(5))
# CLR coordinates are linearly dependant coordinates.
(clr_coordinates <- coordinates(c(1,2,3,4,5), B))
# The sum of all coordinates equal to zero
sum(clr_coordinates) < 1e-15

coda.base documentation built on July 3, 2025, 1:09 a.m.