مقایسهٔ روش‌ها

	گیرِیِ بیزی (Bayesian Geary's C)	ضریب I موران بیزی
حوزه	تحلیل فضایی	تحلیل فضایی
خانواده	Regression model	Regression model
سال پیدایش	1954 (Bayesian framing: 2000s onward)	1950 / 2000s
پدیدآور	Geary (1954); Bayesian extension via hierarchical spatial modeling literature	Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s)
نوع	Bayesian spatial autocorrelation statistic	Bayesian spatial autocorrelation test
منبع بنیادین	Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145.	Haining, R. (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press. ISBN: 9780521774611
نام‌های دیگر	Bayesian Geary C, Bayesian spatial contiguity statistic, Geary's C (Bayesian), Bayesian contiguity ratio	Bayesian spatial autocorrelation test, Bayesian Moran statistic, Moran's I under Bayesian inference, Bayesian global spatial association
مرتبط	6	6
خلاصه	Bayesian Geary's C embeds the classical Geary contiguity ratio within a Bayesian hierarchical framework. Instead of a single point estimate and asymptotic p-value, it produces a posterior distribution over the statistic (or over spatially structured random effects), quantifying uncertainty about spatial autocorrelation while formally incorporating prior knowledge about the spatial process.	Bayesian Moran's I embeds the classical Moran's I spatial autocorrelation test within a Bayesian probabilistic framework. Rather than producing a single p-value, it yields a posterior distribution over the spatial autocorrelation parameter, enabling uncertainty quantification, incorporation of prior knowledge, and more principled inference in small or irregular spatial datasets.