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	ベイズ空間自己相関	モランのI
分野	空間分析	空間分析
系統	Regression model	Regression model
提唱年	1991	1950
提唱者	Besag, York & Mollie	Patrick A. P. Moran
種類	Bayesian hierarchical spatial model	Spatial autocorrelation statistic
原典	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.	Moran, P. A. P. (1950). Notes on continuous stochastic phenomena. Biometrika, 37(1/2), 17–23.
別名	Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSA	Moran's I statistic, global Moran's I, spatial autocorrelation index, Moran index
関連	6	6
概要	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.	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.