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	Global Moran's I	空間的関連の局所的指標（LISA）
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1950	1995
提唱者	Patrick Alfred Pierce Moran	Luc Anselin
種類	Global spatial autocorrelation test / index	Local spatial statistic
原典	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.	Anselin, L. (1995). Local Indicators of Spatial Association — LISA. Geographical Analysis, 27(2), 93–115.
別名	Moran's I, global spatial autocorrelation index, Moran index, GMI	LISA, local spatial autocorrelation statistics, local Moran's I, Anselin LISA
関連	6	6
概要	Global Moran's I is the most widely used single-number summary of spatial autocorrelation across an entire study area. It compares the attribute value at each location with values at neighbouring locations using a spatial weights matrix, and returns a statistic ranging from −1 (perfect dispersion) through 0 (spatial randomness) to +1 (perfect clustering). A significance test determines whether the observed pattern is stronger than random chance.	LISA, introduced by Luc Anselin in 1995, decomposes a global spatial autocorrelation index into a location-specific statistic for every observation. It identifies where statistically significant spatial clusters and outliers occur on a map, enabling researchers to move beyond a single global summary and pinpoint the geographic sources of spatial dependence.