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| ロバストなMoran's I× | ロバスト Geary's C× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1990s–2000s | 1954 (base); robust variants: 1990s–2000s |
| 提唱者≠ | Extension of Moran (1950); robust adaptations developed in spatial statistics literature | Geary (1954); robust extensions by Anselin and spatial statisticians |
| 種類 | Robust spatial autocorrelation statistic | Robust spatial autocorrelation statistic |
| 原典≠ | Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115. DOI ↗ | Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145. DOI ↗ |
| 別名 | outlier-resistant Moran's I, robust spatial autocorrelation test, median-based Moran statistic, robust global spatial association | robust Geary contiguity ratio, outlier-resistant Geary's C, robust spatial contiguity statistic, robust Geary C |
| 関連 | 6 | 6 |
| 概要≠ | 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. | 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. |
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