Permutation test for the matrix of coefficients in the SCLS model {Compositional}

Permutation test for the matrix of coefficients in the SCLS model

Description

Permutation test for the matrix of coefficients in the SCLS model.

Usage

scls.betest(y, x, B, R = 999)

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.

B

A specific matrix of coefficients to test. Under the null hypothesis, the matrix of coefficients is equal to this matrix.

R

The number of permutations to perform.

Details

Permutation independence test in the constrained linear least squares for compositional responses and predictors is performed. The observed test statistic is the MSE computed by scls. Then, the rows of X are permuted B times and each time the constrained OLS is performed and the MSE is computed. The p-value is then computed in the usual way.

Value

The p-value for the test of independence between Y and X.

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, scls2, tflr, scls.indeptest, tflr.indeptest

Examples

y <- rdiri(100, runif(3, 1, 3) )
x <- rdiri(100, runif(3, 1, 3) )
B <- diag(3)
scls.betest(y, x, B = B, R = 99)