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전체 연구 지역의 공간적 자기상관을 측정하는 전역 모란 I×Moran's I×
분야공간분석공간분석
계열Regression modelRegression model
기원 연도19501950
창시자Patrick Alfred Pierce MoranPatrick A. P. Moran
유형Global spatial autocorrelation test / indexSpatial autocorrelation statistic
원전Moran, 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 ↗
별칭Moran's I, global spatial autocorrelation index, Moran index, GMIMoran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
관련66
요약Global Moran's I is the most widely used single-number summary of spatial autocorrelation across an entire study area. It compares the attribute value at each location with values at neighbouring locations using a spatial weights matrix, and returns a statistic ranging from −1 (perfect dispersion) through 0 (spatial randomness) to +1 (perfect clustering). A significance test determines whether the observed pattern is stronger than random chance.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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