easyCODA (version 0.40.2)

invALR: Inverse of additive logratios

Description

Given additive logratios (ALRs) with respect to a specified part, compute the inverse (i.e. original parts)

Usage

invALR(ALRmatrix, part.names=paste("part",1:(ncol(ALRmatrix)+1),sep=""), denom=NA)

Value

parts

The reconstructed parts (they add up to 1)

Arguments

ALRmatrix

A matrix of additive logratios (ALRs) with respect to a specified part)

part.names

Part names in the reconstructed compositional data matrix

denom

The index of the denominator used in the computation of the ALRs (default: last part))

Author

Michael Greenacre

Details

The function invALR computes the original parts, given the additive logratios (ALRs)

References

Aitchison, J. (1986), The Statistical Analysis of Compositional Data, Chapman & Hall.
Greenacre, M. (2018), Compositional Data Analysis in Practice, Chapman & Hall / CRC Press.

See Also

ALR, LR, CLR, invCLR, LR.VAR

Examples

data(veg)
# compute additive logratios with respect to second part
veg.ALR <- ALR(veg, denom=2)$LR
# recover original parts (to get same order, specify the denominator used originally)
invALR(veg.ALR, denom=2)