Alpha generalised correlations between two compositional datasets: Alpha generalised correlations between two compositional datasets
Description
Alpha generalised correlations between two compositional datasets.
Usage
acor(y, x, a, type = "dcor")
Arguments
y
A matrix with the compositional data.
x
A matrix with the compositional data.
a
The value of the power transformation, it has to be between -1 and 1. If zero values are present it has to be greater than 0. If \(\alpha=0\) the isometric log-ratio transformation is applied. If more than one values are supplied the distance or canonical correlation are computed for all values.
type
the type of correlation to compute, the distance correlation ("edist"), the canonical correlation ("cancor") or "both".
Value
A vector or a matrix depending on the length of the values of \(\alpha\) and the type of the correlation to be computed.
Details
The \(\alpha\)-transformation is applied toe ach composition and then the distance correlation or the canonical correlation is computed. If one value of \(\alpha\) is supplied the type="cancor" will return all eigenvalues. If more than one values of \(\alpha\) are provided then the first eigenvalue only will be returned.