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| ロバストGetis-Ord Gi*統計量× | ホットスポット分析 (Getis-Ord Gi*)× | |
|---|---|---|
| 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 | 1992 |
| 提唱者≠ | Getis & Ord (base statistic); robust extensions developed in subsequent spatial statistics literature | Arthur Getis and J. Keith Ord |
| 種類 | Local spatial statistic | Local spatial statistic |
| 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 ↗ | Getis, A., & Ord, J. K. (1992). The analysis of spatial association by use of distance statistics. Geographical Analysis, 24(3), 189-206. DOI ↗ |
| 別名 | Robust Gi*, Robust local Gi star, outlier-resistant hot spot analysis, robust local spatial autocorrelation Gi* | Getis-Ord Gi* statistic, spatial hot spot detection, cluster and outlier analysis, HSA |
| 関連 | 5 | 5 |
| 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*. | Hot Spot Analysis uses the Getis-Ord Gi* local spatial statistic to identify geographic locations where high or low attribute values cluster together to a degree that is statistically significant. Each feature is evaluated in relation to its neighbours, producing a z-score that flags genuine spatial hot spots and cold spots against a background of random variation. |
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