Tuning of the alpha generalised correlations between two compositional datasets: Tuning of the alpha generalised correlations between two compositional datasets
Description
Tuning of the alpha generalised correlations between two compositional datasets.
Usage
acor.tune(y, x, a, type = "dcor")
Arguments
y
A matrix with the compositional data.
x
A matrix with the compositional data.
a
The range of values of the power transformation to search for the optimal one.
If zero values are present it has to be greater than 0.
type
the type of correlation to compute, the distance correlation ("edist"),
the canonical correlation type 1 ("cancor1") or the canonical correlation
type 2 ("cancor2"). See details for more information.
Value
A list including:
alfa
The optimal value of \(\alpha\).
acor
The maximum value of the acor.
runtime
The runtime of the optimization
Details
The \(\alpha\)-transformation is applied to each composition and then the
distance correlation or the canonical correlation is computed. If type =
"cancor1" the function returns the value of \(\alpha\) that maximizes the
product of the eigenvalues. If type = "cancor2" the function returns the value
of \(\alpha\) that maximizes the the largest eigenvalue.