Methoden vergleichen

	Bayesian Geary's C	Moran's I
Fachgebiet	Räumliche Analyse	Räumliche Analyse
Familie	Regression model	Regression model
Entstehungsjahr	1954 (Bayesian framing: 2000s onward)	1950
Urheber	Geary (1954); Bayesian extension via hierarchical spatial modeling literature	Patrick A. P. Moran
Typ	Bayesian spatial autocorrelation statistic	Spatial autocorrelation statistic
Wegweisende Quelle	Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145.	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.
Aliasnamen	Bayesian Geary C, Bayesian spatial contiguity statistic, Geary's C (Bayesian), Bayesian contiguity ratio	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
Verwandt	6	6
Zusammenfassung	Bayesian Geary's C embeds the classical Geary contiguity ratio within a Bayesian hierarchical framework. Instead of a single point estimate and asymptotic p-value, it produces a posterior distribution over the statistic (or over spatially structured random effects), quantifying uncertainty about spatial autocorrelation while formally incorporating prior knowledge about the spatial process.	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.