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| Robust Geary's C× | Robust Moran's I× | |
|---|---|---|
| Πεδίο | Χωρική Ανάλυση | Χωρική Ανάλυση |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 1954 (base); robust variants: 1990s–2000s | 1990s–2000s |
| Δημιουργός≠ | Geary (1954); robust extensions by Anselin and spatial statisticians | Extension of Moran (1950); robust adaptations developed in spatial statistics literature |
| Τύπος | Robust spatial autocorrelation statistic | Robust spatial autocorrelation statistic |
| Θεμελιώδης πηγή≠ | Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145. DOI ↗ | Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115. DOI ↗ |
| Εναλλακτικές ονομασίες | robust Geary contiguity ratio, outlier-resistant Geary's C, robust spatial contiguity statistic, robust Geary C | outlier-resistant Moran's I, robust spatial autocorrelation test, median-based Moran statistic, robust global spatial association |
| Συναφείς | 6 | 6 |
| Σύνοψη≠ | Robust Geary's C adapts the classical Geary contiguity ratio — a measure of spatial autocorrelation based on pairwise squared differences between neighbouring locations — to resist distortion by spatial outliers and influential observations. It retains the local sensitivity of Geary's C while producing more reliable inferences when the spatial data contain extreme values or non-normal distributions. | Robust Moran's I is an outlier-resistant adaptation of the classic Moran's I spatial autocorrelation statistic. By replacing the standard mean-based standardization with resistant measures of center and spread, it detects genuine geographic clustering without being distorted by a small number of extreme values in the attribute of interest. |
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