Description Usage Arguments Details Value Note Author(s) References See Also Examples

The centred logratio (clr) coefficients map D-part compositional data from the simplex into a D-dimensional real space.

1 |

`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 |

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

the resulting clr coefficients, including

`x.clr` |
clr coefficients |

`gm` |
the geometric means of the original compositional data. |

The resulting data set is singular by definition.

Matthias Templ

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

`cenLRinv`

, `addLR`

, `pivotCoord`

,
`addLRinv`

, `pivotCoordInv`

1 2 3 4 5 6 | ```
data(expenditures)
eclr <- cenLR(expenditures)
inveclr <- cenLRinv(eclr)
head(expenditures)
head(inveclr)
head(pivotCoordInv(eclr$x.clr))
``` |

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