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**chemometrics**: Multivariate Statistical Analysis in Chemometrics**ilr**: isometric logratio transformation

# isometric logratio transformation

### Description

A data transformation according to the isometric logratio transformation is done.

### Usage

1 | ```
ilr(X)
``` |

### Arguments

`X` |
numeric data frame or matrix |

### Details

The ilr transformation is one possibility to transform compositional data to a real space. Afterwards, the transformed data can be analyzed in the usual way.

### Value

Returns the transformed data matrix with one dimension less than X.

### Author(s)

Peter Filzmoser <P.Filzmoser@tuwien.ac.at>

### References

K. Varmuza and P. Filzmoser: Introduction to Multivariate Statistical Analysis in Chemometrics. CRC Press, Boca Raton, FL, 2009.

### See Also

`alr`

,`clr`

### Examples

1 2 |

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