手法を比較

	ベイズ的 Geary's C	ベイズ型Moran's I
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1954 (Bayesian framing: 2000s onward)	1950 / 2000s
提唱者	Geary (1954); Bayesian extension via hierarchical spatial modeling literature	Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s)
種類	Bayesian spatial autocorrelation statistic	Bayesian spatial autocorrelation test
原典	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
別名	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
関連	6	6
概要	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.