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| ロバストGetis-Ord Gi*統計量× | ロバスト空間的自己相関の局所指標 (Robust LISA)× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1992 (base); robust variants circa 2000s–2010s | 1995–2000s |
| 提唱者≠ | Getis & Ord (base statistic); robust extensions developed in subsequent spatial statistics literature | Anselin (LISA, 1995); robust extensions by Assuncao & Reis and subsequent spatial statisticians |
| 種類≠ | Local spatial statistic | Local spatial autocorrelation statistic (robust variant) |
| 原典≠ | Getis, A., & Ord, J. K. (1992). The analysis of spatial association by use of distance statistics. Geographical Analysis, 24(3), 189–206. DOI ↗ | Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115. DOI ↗ |
| 別名 | Robust Gi*, Robust local Gi star, outlier-resistant hot spot analysis, robust local spatial autocorrelation Gi* | Robust LISA, outlier-resistant LISA, robust local spatial autocorrelation, LISA with robust weights |
| 関連≠ | 5 | 6 |
| 概要≠ | The Robust Getis-Ord Gi* statistic extends the classical Gi* hot-spot measure to handle outliers in spatial data. By using robust estimators of the mean and variance — such as trimmed means, medians, or down-weighted influential observations — it identifies statistically significant spatial clusters of high or low values even when the attribute distribution contains extreme values that would distort the standard Gi*. | Robust Local Indicators of Spatial Association extend Anselin's LISA framework to handle outliers, extreme values, and spatially heterogeneous populations. By applying outlier-resistant adjustments to the spatial weights or the standardised values, Robust LISA identifies statistically significant local clusters and spatial outliers without the distortions caused by highly influential observations. |
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