مقایسهٔ روش‌ها

	ضریب آی موران مقاوم	شاخص C گری مقاوم
حوزه	تحلیل فضایی	تحلیل فضایی
خانواده	Regression model	Regression model
سال پیدایش	1990s–2000s	1954 (base); robust variants: 1990s–2000s
پدیدآور	Extension of Moran (1950); robust adaptations developed in spatial statistics literature	Geary (1954); robust extensions by Anselin and spatial statisticians
نوع	Robust spatial autocorrelation statistic	Robust spatial autocorrelation statistic
منبع بنیادین	Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115.	Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145.
نام‌های دیگر	outlier-resistant Moran's I, robust spatial autocorrelation test, median-based Moran statistic, robust global spatial association	robust Geary contiguity ratio, outlier-resistant Geary's C, robust spatial contiguity statistic, robust Geary C
مرتبط	6	6
خلاصه	Robust Moran's I is an outlier-resistant adaptation of the classic Moran's I spatial autocorrelation statistic. By replacing the standard mean-based standardization with resistant measures of center and spread, it detects genuine geographic clustering without being distorted by a small number of extreme values in the attribute of interest.	Robust Geary's C adapts the classical Geary contiguity ratio — a measure of spatial autocorrelation based on pairwise squared differences between neighbouring locations — to resist distortion by spatial outliers and influential observations. It retains the local sensitivity of Geary's C while producing more reliable inferences when the spatial data contain extreme values or non-normal distributions.