ilr_basis

olr_basis

By default the basis of the clr-given by Egozcue et al., 2013
Build an isometric log-ratio basis for a composition with k+1 parts
$$h_i = \sqrt{\frac{i}{i+1}} \log\frac{\sqrt[i]{\prod_{j=1}^i x_j}}{x_{i+1}}$$
for $i \in 1\ldots k$.

A minimum set of functions to perform compositional data analysis
using the log-ratio approach introduced by John Aitchison (1982). Main functions
have been implemented in c++ for better performance.

Marc ComasCuf

coda.base

A Basic Set of Functions for Compositional Data Analysis

Marc Comas-Cufí

ilr_basis function

<dl><dt>dim</dt>
<dd>number of components</dd>
<dt>type</dt>
<dd>if different than `pivot` (pivot balances) or `cdp` (codapack balances) default balances are returned, which computes a triangular Helmert matrix as defined by Egozcue et al., 2013.</dd></dl>

Arguments

Isometric/Orthonormal log-ratio basis for log-transformed compositions. — ilr_basis

<dl>

<dt>dim</dt>
<dd>number of components</dd>


<dt>type</dt>
<dd>if different than `pivot` (pivot balances) or `cdp` (codapack balances) default balances are returned, which computes a triangular Helmert matrix as defined by Egozcue et al., 2013.</dd>

</dl>

ilr_basis: Isometric/Orthonormal log-ratio basis for log-transformed compositions.

Description

Usage

Value

Arguments

Details

References

Examples