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Spatial Regression of Crime×공간 시차 모형 (SAR / 공간 자기회귀)×
분야Criminology공간분석
계열Regression modelRegression model
기원 연도19881988
창시자Luc AnselinAnselin (textbook formalisation); LeSage & Pace
유형Regression model for areal crime data with spatial dependenceSpatial autoregressive regression
원전Anselin, L. (1988). Spatial Econometrics: Methods and Models. Kluwer Academic Publishers. ISBN: 9789024737352Anselin, L. (1988). Spatial Econometrics: Methods and Models. Kluwer Academic. DOI ↗
별칭Spatial Lag Model of Crime, Spatial Error Model of Crime, Geographically Weighted Regression of Crime, Spatial Econometric Crime ModelsSAR model, spatial autoregressive model, spatial lag, Uzamsal Gecikme Modeli (SAR / Spatial Lag)
관련45
요약Spatial regression models explain crime rates across areal units — neighborhoods, census tracts, counties — while explicitly accounting for the fact that nearby places tend to have similar crime levels. Ordinary regression assumes each unit's residual is independent, an assumption crime data routinely violate, biasing standard errors and sometimes the coefficients themselves. Spatial econometric models, formalized in Luc Anselin's 1988 framework, introduce a spatial weights matrix and add a spatial lag of the outcome or a spatially correlated error so that the dependence between neighboring areas is modeled rather than ignored.The Spatial Lag Model is an autoregressive regression that assumes spatial dependence in the dependent variable itself: the outcome values of neighbouring units enter the model as an explanatory term (ρWy). It was formalised in Anselin's Spatial Econometrics (1988) and developed further by LeSage and Pace (2009), and it decomposes spillover effects into direct, indirect, and total impacts.
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