Methoden vergleichen

	Global Moran's I – Messung der globalen räumlichen Autokorrelation	Moran's I
Fachgebiet	Räumliche Analyse	Räumliche Analyse
Familie	Regression model	Regression model
Entstehungsjahr	1950	1950
Urheber	Patrick Alfred Pierce Moran	Patrick A. P. Moran
Typ	Global spatial autocorrelation test / index	Spatial autocorrelation statistic
Wegweisende Quelle	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.
Aliasnamen	Moran's I, global spatial autocorrelation index, Moran index, GMI	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
Verwandt	6	6
Zusammenfassung	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.