Smoothed ANOVA with spatial effects as a competitor to MCAR in multivariate spatial smoothing

DOI10.1214/09-AOAS267zbMath1184.62126arXiv1011.0646OpenAlexW2015843800WikidataQ41576729 ScholiaQ41576729MaRDI QIDQ965145

Sudipto Banerjee, Yufen Zhang, James S. Hodges

Publication date: 21 April 2010

Published in: The Annals of Applied Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0646

zbMATH Keywords

smoothinghierarchical modelBayesian inferenceanalysis of varianceconditionally autoregressive model

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Medical applications (general) (92C50) Analysis of variance and covariance (ANOVA) (62J10)

Related Items

Gaussian component mixtures and CAR models in Bayesian disease mapping, Hierarchical Bayesian bivariate disease mapping: analysis of children and adults asthma visits to hospital, Bayesian spectral modeling for multivariate spatial distributions of elemental concentrations in soil, Smoothed ANOVA with spatial effects as a competitor to MCAR in multivariate spatial smoothing

Uses Software

• GMRFLib
• spBayes
• BayesDA

Cites Work

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• Disease mapping and spatial regression with count data
• A spatial model for multivariate lattice data
• Smoothed ANOVA with spatial effects as a competitor to MCAR in multivariate spatial smoothing
• Multi-dimensional multivariate Gaussian Markov random fields with application to image processing
• Bayesian image restoration, with two applications in spatial statistics (with discussion)
• A close look at the spatial structure implied by the CAR and SAR models.
• Bayesian computation and stochastic systems. With comments and reply.
• Modeling Spatial Survival Data Using Semiparametric Frailty Models
• On the Precision of the Conditionally Autoregressive Prior in Spatial Models
• Generalized Hierarchical Multivariate CAR Models for Areal Data
• Some Algebra and Geometry for Hierarchical Models, Applied to Diagnostics
• A Bivariate Bayes Method for Improving the Estimates of Mortality Rates With a Twofold Conditional Autoregressive Model
• Bayesian Measures of Model Complexity and Fit
• Gaussian Markov Random Fields
• Applied Spatial Statistics for Public Health Data
• Effects of Residual Smoothing on the Posterior of the Fixed Effects in Disease‐Mapping Models
• Proper multivariate conditional autoregressive models for spatial data analysis
• Frailty modeling for spatially correlated survival data, with application to infant mortality in Minnesota