Simplicial constrained median regression for compositional responses and predictors model {Compositional}

Simplicial constrained median regression for compositional responses and predictors

Description

Simplicial constrained median regression for compositional responses and predictors.

Usage

scrq(y, x, xnew = NULL)

Arguments

y

A matrix with the compositional data (dependent variable). 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.

Details

The function performs median regression where the beta coefficients are constained to be positive and sum to 1.

Value

A list including:

mlad

The mean absolute deviation.

be

The beta coefficients.

est

The fitted of xnew if xnew is not NULL.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

References

Tsagris. M. (2024). Constrained least squares simplicial-simplicial regression. https://arxiv.org/pdf/2403.19835.pdf

See Also

scls, tflr, scls.indeptest

Examples

library(MASS)
set.seed(1234)
y <- rdiri(214, runif(4, 1, 3))
x <- as.matrix(fgl[, 2:9])
x <- x / rowSums(x)
mod <- scrq(y, x)
mod