Transformation-free linear regression for compositional responses and predictors: Transformation-free linear regression for compositional responses and predictors
Description
Transformation-free linear regression for compositional responses and predictors.
Usage
tflr(y, x, xnew = NULL)
Arguments
y
A matrix with the compositional response. Zero values are allowed.
x
A matrix with the compositional predictors. Zero values are allowed.
xnew
If you have new data use it, otherwise leave it NULL.
Value
A list including:
runtime
The time required by the regression.
loglik
The log-likelihood.
be
The beta coefficients.
est
The fitted values of xnew if xnew is not NULL.
Details
The transformation-free linear regression for compositional responses and predictors is implemented.
The function to be minized is \(-\sum_{i=1}^ny_i\log{y_i/(X_iB)}\).
References
Jacob Fiksel, Scott Zeger and Abhirup Datta (2020). A transformation-free linear regression for compositional outcomes and predictors.
https://arxiv.org/pdf/2004.07881.pdf