S-Space College of Education (사범대학) Dept. of Social Studies Education (사회교육과) Geography (지리전공) Journal Papers (저널논문_지리전공)
A generalized significance testing method for global measures of spatial association: an extension of the Mantel test
- Lee, Sang-Il
- Issue Date
- Environment and Planning A 36(9) 1637-1703
- Sang-Il Lee, 2004. The definitive, peer-reviewed and edited version of this article is published in Environment and Planning A, volume 36, issue 9, pages 1687-1703, 2004, [10.1068/a34143].
- This research is concerned with providing a generalized significance testing method for global measures of spatial association by extending the Mantel test. Even though it has long been recognized that univariate spatial association measures such as Moran's I and Geary's c are special cases of Mantel's generalized association statistic, an intensive and comprehensive examination of the connections, particularly in terms of significance testing has never been undertaken. Furthermore, researchers have faced difficulties in dealing with spatial weights matrices with nonzero diagonal elements, and establishing the significance testing method for bivariate spatial association measures such as Cross - Moran and Lee's L . The author demonstrates that the proposed extended Mantel test can be applied to any global measure of spatial association with any form of spatial weights matrix in order to approximate the first two moments of the measures. A Monte Carlo simulation for each measure with various forms of spatial weights matrices confirms the exactness of the approximation.