RESTRICTED SPATIAL REGRESSION METHODS: IMPLICATIONS FOR INFERENCE.

ABSTRACT: The issue of spatial confounding between the spatial random effect and the fixed effects in regression analyses has been identified as a concern in the statistical literature. Multiple authors have offered perspectives and potential solutions. In this paper, for the areal spatial data setting, we show that many of the methods designed to alleviate spatial confounding can be viewed as special cases of a general class of models. We refer to this class as Restricted Spatial Regression (RSR) models, extending terminology currently in use. We offer a mathematically based exploration of the impact that RSR methods have on inference for regression coefficients for the linear model. We then explore whether these results hold in the generalized linear model setting for count data using simulations.

SUBMITTER: Khan K 

PROVIDER: S-EPMC9540349 | biostudies-literature | 2022

REPOSITORIES: biostudies-literature