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| Multiscale Moran's I× | モランのI× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1950 (base); multiscale variant 1980s-1990s | 1950 |
| 提唱者≠ | P. A. P. Moran (base statistic, 1950); multiscale extension developed through spatial ecology and geography literature | Patrick A. P. Moran |
| 種類 | Spatial autocorrelation statistic | Spatial autocorrelation statistic |
| 原典≠ | Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1-2), 17-23. DOI ↗ | Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23. DOI ↗ |
| 別名 | multi-scale Moran's I, spatial correlogram Moran, Moran correlogram, multiscale spatial autocorrelation | Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index |
| 関連 | 6 | 6 |
| 概要≠ | Multiscale Moran's I extends the classic global Moran's I statistic by computing spatial autocorrelation across a series of distance lags or spatial scales. The resulting spatial correlogram reveals at which geographic scales clusters or dispersions of a variable exist, offering richer insight than a single summary statistic. | 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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