A preliminary investigation of the stability of Geographically-Weighted Regression

Abstract

This paper describes preliminary work analysing the stability of parameter coefficient estimates for Geographically-Weighted Regression (GWR). Based on a large dataset (35721 points) various random samplings of this data were performed and models built using GWR. An analysis of the coefficient values for the independent variables showed that these values could varying significantly both between runs and between sampling sizes. This suggests that the results from GWR must be carefully considered in terms of the form of data, assumed coefficient surface being modelled, and the confidence of the resulting parameter estimates.