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| モランのI空間的自己相関検定× | 空間ラグモデル(SAR / 空間自己回帰)× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1950 | 1988 |
| 提唱者≠ | Patrick A. P. Moran | Anselin (textbook formalisation); LeSage & Pace |
| 種類≠ | Global spatial autocorrelation statistic | Spatial autoregressive regression |
| 原典≠ | Moran, P.A.P. (1950). Notes on Continuous Stochastic Phenomena. Biometrika, 37(1/2), 17–23. DOI ↗ | Anselin, L. (1988). Spatial Econometrics: Methods and Models. Kluwer Academic. DOI ↗ |
| 別名≠ | global Moran's I, spatial autocorrelation test, Moran's I Uzamsal Otokorelasyon Testi | SAR model, spatial autoregressive model, spatial lag, Uzamsal Gecikme Modeli (SAR / Spatial Lag) |
| 関連 | 5 | 5 |
| 概要≠ | Moran's I is a global statistic, introduced by Patrick Moran in 1950, that measures whether and how a continuous variable is spatially autocorrelated across mapped units. A positive value signals clustering of similar values, a negative value signals a dispersed (checkerboard) pattern, and it is most often used as a diagnostic before moving to spatial regression. | The Spatial Lag Model is an autoregressive regression that assumes spatial dependence in the dependent variable itself: the outcome values of neighbouring units enter the model as an explanatory term (ρWy). It was formalised in Anselin's Spatial Econometrics (1988) and developed further by LeSage and Pace (2009), and it decomposes spillover effects into direct, indirect, and total impacts. |
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