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| Global Moran's I× | Geary's C× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1950 | 1954 |
| 提唱者≠ | Patrick Alfred Pierce Moran | Roy C. Geary |
| 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. DOI ↗ | Geary, R. C. (1954). The Contiguity Ratio and Statistical Mapping. The Incorporated Statistician, 5(3), 115–145. link ↗ |
| 別名 | Moran's I, global spatial autocorrelation index, Moran index, GMI | Geary contiguity ratio, Geary C statistic, spatial contiguity ratio, Geary's c |
| 関連≠ | 6 | 4 |
| 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. | Geary's C is a global spatial autocorrelation statistic that measures whether nearby areal units share similar attribute values. Unlike Moran's I, it focuses on squared differences between adjacent pairs rather than cross-products of deviations from the mean, making it more sensitive to local dissimilarity and less influenced by global trends. |
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