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	Global 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	1950	1950
提唱者	Patrick Alfred Pierce Moran	Patrick A. P. Moran
種類	Global spatial autocorrelation test / index	Spatial autocorrelation statistic
原典	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.
別名	Moran's I, global spatial autocorrelation index, Moran index, GMI	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
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.	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.