Description Usage Arguments Details Value References Examples

Coefficients of log of parts in a balance matrix, (+1) for numerator and (-1) for denominator, are transformed into the corresponding isometric log-ratio (ilr) coefficients

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`bal` |
a ( |

`balnames` |
logical, if TRUE, balance names are attributed to ilr transforms; if FALSE (default) ilr transforms are numbered |

Two scalars multiplying positive and negative cells respectively are defined for each row of the matrix *bal* in such a way that the resulting matrix defines the ilr transformation to apply to the log of a compositional vector. The output transformation matrix is transposed for application to a compositional dataset where the compositions are the rows.

a *D \times (D-1)* matrix giving the coefficients of the ilr transforms

Pawlowsky-Glahn, V., J. J. Egozcue, and R. Tolosana-Delgado (2007). Lecture Notes on Compositional Data Analysis.

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