Spatial Dependence in the Self-Response: Spatial Dependence, Modeling, and Operational Consequences
This study addresses the persistent spatial autocorrelation in residuals from the U.S. Census Bureau’s Low Response Score (LRS) model after ordinary least squares regression, which undermines predictive accuracy. Leveraging 2010 data from 71,076 census tracts—including mail nonresponse rates and 25 predictors—the authors systematically compare a suite of spatial autoregressive models. They find that spatial dependence arises primarily from the error term rather than global endogenous lags. Employing queen-contiguity spatial weights, they evaluate the spatial error model (SEM/SDEM), spatial Durbin model (SDM), and spatial lag model, complemented by spatial block cross-validation for robust generalization assessment. Results indicate that the SDEM achieves optimal performance while preserving interpretability, revealing that local neighborhood demographic characteristics influence response behavior through spatial spillover effects. Findings prove robust to alternative weight specifications and heteroskedasticity.