robCompositions (version 2.0.0)

orthbasis: Orthonormal basis

Description

Orthonormal basis from cenLR transformed data to isomLR transformated data.

Usage

orthbasis(D)

Arguments

D

number of parts (variables)

Value

the orthonormal basis.

Details

For the chosen balances for “isomLR”, this is the orthonormal basis that transfers the data from centered logratio to isometric logratio.

See Also

isomLR, cenLR

Examples

data(expenditures)
V <- orthbasis(ncol(expenditures))
xcen <- cenLR(expenditures)$x.clr
xi <- as.matrix(xcen) %*% V
xi2 <- isomLR(expenditures)
all.equal(xi, xi2)