Tuning of the alpha generalised correlations between two compositional datasets
Tuning of the alpha generalised correlations between two compositional datasets.
acor.tune(y, x, a, type = "dcor")
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. |
The α-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 α that maximizes the product of the eigenvalues. If type = "cancor2" the function returns the value of α that maximizes the the largest eigenvalue.
A list including:
alfa |
The optimal value of α. |
acor |
The maximum value of the acor. |
runtime |
The runtime of the optimization |
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.
y <- rdiri(30, runif(3) ) x <- rdiri(30, runif(4) ) acor(y, x, a = 0.4)
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