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	ベイズ型Moran's I	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	1950 / 2000s	1991
提唱者	Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s)	Besag, York & Mollie
種類	Bayesian spatial autocorrelation test	Bayesian hierarchical spatial model
原典	Haining, R. (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press. ISBN: 9780521774611	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 spatial autocorrelation test, Bayesian Moran statistic, Moran's I under Bayesian inference, Bayesian global spatial association	Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSA
関連	6	6
概要	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.	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.