Transformation-free linear regression for compositional responses and predictors
Transformation-free linear regression for compositional responses and predictors.
tflr(y, x, xnew = NULL)
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. |
The transformation-free linear regression for compositional responses and predictors is implemented.
A list including:
runtime |
The time required by the regression. |
loglik |
The log-likelihood -∑_{i=1}^ny_i\log{y_i/\hat{y}_i}. |
be |
The beta coefficients. |
est |
The fitted values of xnew if xnew is not NULL. |
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.
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
library(MASS) y <- rdiri(214, runif(3, 1, 3)) x <- as.matrix(fgl[, 2:9]) x <- x / rowSums(x) mod <- tflr(y, x, x) mod
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