CompositionalSR (version 1.0)

Prediction with the GWalphaR model: Prediction with the GW\(\alpha\)R model

Description

Prediction with GW\(\alpha\)R model.

Usage

gwar.pred(y, x, a, coords, h, xnew, coordsnew)

Value

A list including:

runtime

The time required by the regression.

est

A list with the fitted values, for each combination of \(\alpha\) and h.

Arguments

y

A matrix with the compositional data.

x

A matrix with the continuous predictor variables or a data frame including categorical predictor variables.

a

A vector with values for the power transformation, it has to be between -1 and 1.

coords

A matrix with the coordinates of the locations. The first column is the latitude and the second is the longitude.

h

A vector with bandwith values.

xnew

The new data.

coordsnew

A matrix with the coordinates of the new locations. The first column is the latitude and the second is the longitude.

Author

Michail Tsagris.

R implementation and documentation: Michail Tsagris .

Details

The \(\alpha\)-transformation is applied to the compositional data first and then the GW\(\alpha\)R model is applied and predictions are given for each observation.

References

Tsagris M. (2025). The \(\alpha\)--regression for compositional data: a unified framework for standard, spatially-lagged, and geographically-weighted regression models. https://arxiv.org/pdf/2510.12663

Tsagris M. (2015). Regression analysis with compositional data containing zero values. Chilean Journal of Statistics, 6(2): 47-57. https://arxiv.org/pdf/1508.01913v1.pdf

Tsagris M.T., Preston S. and Wood A.T.A. (2011). A data-based power transformation for compositional data. In Proceedings of the 4th Compositional Data Analysis Workshop, Girona, Spain. https://arxiv.org/pdf/1106.1451.pdf

See Also

cv.gwar, me.gwar, alfa.slx, alfa.reg

Examples

data(fadn)
coords <- fadn[-c(1:10), 1:2]
y <- fadn[-c(1:10), 3:7]
x <- fadn[-c(1:10), 8]
xnew <- fadn[1:10, 8]
coordsnew <- fadn[1:10, 1:2]
mod <- gwar.pred(y, x, a = c(0.25, 0.5, 1), coords,
h = c(0.002, 0.006), xnew = xnew, coordsnew = coordsnew)