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| Bayesian Geary's C× | Moran's I× | |
|---|---|---|
| Dziedzina | Analiza przestrzenna | Analiza przestrzenna |
| Rodzina | Regression model | Regression model |
| Rok powstania≠ | 1954 (Bayesian framing: 2000s onward) | 1950 |
| Twórca≠ | Geary (1954); Bayesian extension via hierarchical spatial modeling literature | Patrick A. P. Moran |
| Typ≠ | Bayesian spatial autocorrelation statistic | Spatial autocorrelation statistic |
| Źródło pierwotne≠ | Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145. DOI ↗ | Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23. DOI ↗ |
| Inne nazwy | 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 |
| Pokrewne | 6 | 6 |
| Podsumowanie≠ | 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. |
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