R: Orthonormal basis

orthbasis {robCompositions} | R Documentation

## Orthonormal basis

### Description

Orthonormal basis from cenLR transformed data to pivotCoord transformated data.

### Usage

    orthbasis(D)

### Arguments

`D` | number of parts (variables)

### Details

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

### Value

the orthonormal basis.

### Author(s)

Karel Hron, Matthias Templ. Some code lines of this function are a copy from function gsi.buildilr from

### See Also

`pivotCoord`, `cenLR`

### Examples

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

[Package robCompositions version 2.1.0 Index]