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	ベイズ型Moran's I	モランのI
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1950 / 2000s	1950
提唱者	Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s)	Patrick A. P. Moran
種類	Bayesian spatial autocorrelation test	Spatial autocorrelation statistic
原典	Haining, R. (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press. ISBN: 9780521774611	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.
別名	Bayesian spatial autocorrelation test, Bayesian Moran statistic, Moran's I under Bayesian inference, Bayesian global spatial association	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
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.	Moran's I is the standard global statistic for detecting spatial autocorrelation: whether nearby locations tend to share similar values. The index ranges from approximately −1 (perfect dispersion) through 0 (spatial randomness) to +1 (perfect clustering), allowing researchers to test whether a geographic pattern differs from complete spatial randomness with a single, interpretable number.