Use of multiplicative interaction of explanatory variables has been a standard practice in the regression modeling literature, and estimation of the parameters of such a model in the case of spatial autoregressive (SAR) or spatial Durbin (SDM) models can be accomplished using existing software for spatial regression estimation. However, use of the conventional scalar summary estimates of direct and indirect effects reflecting the own- and other-region impacts on the dependent variable associated with changes in the explanatory variables will not produce valid inferences. We discuss the issues that arise and introduce new methods for interpretation of own- and other-region impacts based on estimates from this type of model.

使用解释变量的乘法相互作用是回归建模文献中的标准做法，在空间自回归 (SAR) 或空间杜宾 (SDM) 模型的情况下，可以使用现有软件完成对此类模型参数的估计。空间回归估计。然而，使用反映本区域和其他区域对与解释变量变化相关的因变量影响的直接和间接影响的常规标量汇总估计不会产生有效的推论。我们讨论了出现的问题，并根据此类模型的估计引入了解释本区域和其他区域影响的新方法。