Gaussian spatial regression using the spmoran package: case study examples

Abstract: This study demonstrates how to use the "spmoran" package implementing scalable spatial regression models for Gaussian and non-Gaussian data. Implemented models include spatially varying coefficient models, models with group effects, spatial unconditional quantile regression model, and low rank spatial econometric models. All of these models are estimated in a computationally efficient manner for large samples. Moran eigenvectors are used to an approximate Gaussian process (GP) modeling that is interpretable in terms of the Moran coefficient. The GP is used for modeling the spatial processes in residuals and regression coefficients. The sample codes are available from https://github.com/dmuraka/spmoran. While this vignette mainly focuses on Gaussian data modeling, another vignette focusing on non-Gaussian data including count regression is also available from the same GitHub page.