手法を比較

	ロバストなMoran's I	モランのI
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	Patrick A. P. Moran
種類	Robust spatial autocorrelation statistic	Spatial autocorrelation statistic
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	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
関連	6	6
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.	Moran's I is the standard global statistic for detecting spatial autocorrelation: whether nearby locations tend to share similar values. The index ranges from approximately −1 (perfect dispersion) through 0 (spatial randomness) to +1 (perfect clustering), allowing researchers to test whether a geographic pattern differs from complete spatial randomness with a single, interpretable number.