手法を比較

	ベイズ的 Geary's C	ベイズ空間自己相関
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1954 (Bayesian framing: 2000s onward)	1991
提唱者	Geary (1954); Bayesian extension via hierarchical spatial modeling literature	Besag, York & Mollie
種類	Bayesian spatial autocorrelation statistic	Bayesian hierarchical spatial model
原典	Geary, R. C. (1954). The contiguity ratio and statistical mapping. The Incorporated Statistician, 5(3), 115–145.	Besag, J., York, J., & Mollie, A. (1991). Bayesian image restoration, with two applications in spatial statistics. Annals of the Institute of Statistical Mathematics, 43(1), 1–20.
別名	Bayesian Geary C, Bayesian spatial contiguity statistic, Geary's C (Bayesian), Bayesian contiguity ratio	Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSA
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 Spatial Autocorrelation embeds spatial dependence directly into a Bayesian hierarchical model. A Conditional Autoregressive (CAR) prior encodes the expectation that neighboring areas are more similar than distant ones, and posterior inference is obtained via MCMC. This approach is especially valuable in disease mapping, ecology, and regional science, where small-area estimates need borrowing strength across neighbors.