مقایسهٔ روش‌ها

	ضریب آی موران مقاوم	شاخص موران محلی (LISA)
حوزه	تحلیل فضایی	تحلیل فضایی
خانواده	Regression model	Regression model
سال پیدایش	1990s–2000s	1995
پدیدآور	Extension of Moran (1950); robust adaptations developed in spatial statistics literature	Luc Anselin
نوع	Robust spatial autocorrelation statistic	Local spatial autocorrelation statistic
منبع بنیادین	Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115.	Anselin, L. (1995). Local indicators of spatial association—LISA. Geographical Analysis, 27(2), 93–115.
نام‌های دیگر	outlier-resistant Moran's I, robust spatial autocorrelation test, median-based Moran statistic, robust global spatial association	Local Indicator of Spatial Association, LISA statistic, Anselin Local Moran, local spatial autocorrelation index
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.	Local Moran's I, introduced by Luc Anselin in 1995, is a Local Indicator of Spatial Association (LISA) that decomposes global spatial autocorrelation into location-specific contributions. For every observation it produces a signed statistic and a significance value, enabling researchers to identify spatial clusters (high-high, low-low) and spatial outliers (high-low, low-high) on a map.