手法を比較

	ロバストなMoran's I	空間的自己相関
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1990s–2000s	1950
提唱者	Extension of Moran (1950); robust adaptations developed in spatial statistics literature	P. A. P. Moran (global measure, 1950); Roy Geary (Geary's C, 1954); Luc Anselin (LISA, 1995)
種類	Robust spatial autocorrelation statistic	Spatial statistic / exploratory spatial data analysis
原典	Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115.	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.
別名	outlier-resistant Moran's I, robust spatial autocorrelation test, median-based Moran statistic, robust global spatial association	spatial dependence, geographic autocorrelation, spatial clustering measure, SA
関連	6	5
概要	Robust Moran's I is an outlier-resistant adaptation of the classic Moran's I spatial autocorrelation statistic. By replacing the standard mean-based standardization with resistant measures of center and spread, it detects genuine geographic clustering without being distorted by a small number of extreme values in the attribute of interest.	Spatial autocorrelation quantifies the degree to which a variable's values at nearby locations resemble each other more (positive autocorrelation) or less (negative autocorrelation) than expected by chance. Global indices such as Moran's I summarise the pattern across the entire study area, while local variants reveal clusters and outliers at the level of individual observations.