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| モランのI× | 空間的関連の局所的指標（LISA）× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1950 | 1995 |
| 提唱者≠ | Patrick A. P. Moran | Luc Anselin |
| 種類≠ | Spatial autocorrelation statistic | Local spatial statistic |
| 原典≠ | Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23. DOI ↗ | Anselin, L. (1995). Local Indicators of Spatial Association — LISA. Geographical Analysis, 27(2), 93–115. DOI ↗ |
| 別名 | Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index | LISA, local spatial autocorrelation statistics, local Moran's I, Anselin LISA |
| 関連 | 6 | 6 |
| 概要≠ | 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. | LISA, introduced by Luc Anselin in 1995, decomposes a global spatial autocorrelation index into a location-specific statistic for every observation. It identifies where statistically significant spatial clusters and outliers occur on a map, enabling researchers to move beyond a single global summary and pinpoint the geographic sources of spatial dependence. |
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