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| 局所的モラン指数 (LISA)× | モランのI× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1995 | 1950 |
| 提唱者≠ | Luc Anselin | Patrick A. P. Moran |
| 種類≠ | Local spatial autocorrelation statistic | Spatial autocorrelation statistic |
| 原典≠ | Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115. DOI ↗ | Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23. DOI ↗ |
| 別名 | Local Indicator of Spatial Association, LISA statistic, Anselin Local Moran, local spatial autocorrelation index | Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index |
| 関連 | 6 | 6 |
| 概要≠ | Local Moran's I, introduced by Luc Anselin in 1995, is a Local Indicator of Spatial Association (LISA) that decomposes global spatial autocorrelation into location-specific contributions. For every observation it produces a signed statistic and a significance value, enabling researchers to identify spatial clusters (high-high, low-low) and spatial outliers (high-low, low-high) on a map. | 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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