Geospatial health · 2006 · 112 citations · 33 references
ComputingBiostatisticsGeoinformaticsSpatial AnalysisSpatial ModelingSpatial StatisticsBayesian InferenceBayesian Spatial AnalysisBayesian StatisticsGeostatistical ModelingMarkov Chain Monte CarloSpatial Statistical ModelingBayesian Disease ModelingBayesian GeostatisticsBayesian Spatial PredictionEnvironmental FactorsGeostatistical Risk ModelsSpatial Bayesian ModelingStationarity AssumptionStatistical Stationarity
Bayesian geostatistical models applied to malaria risk data quantify the environment-disease relations, identify significant environmental predictors of malaria transmission and provide model-based predictions of malaria risk together with their precision. These models are often based on the stationarity assumption which implies that spatial correlation is a function of distance between locations and independent of location. We relax this assumption and analyse malaria survey data in Mali using a Bayesian non-stationary model. Model fit and predictions are based on Markov chain Monte Carlo simulation methods. Model validation compares the predictive ability of the non-stationary model with the stationary analogue. Results indicate that the stationarity assumption is important because it influences the significance of environmental factors and the corresponding malaria risk maps.
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Noel Cressie · Terra Nova · 1992 · 8.9K citations
Computing, Geography, Geoinformatics +12
Markov Chains for Exploring Posterior Distributions
Luke Tierney · The Annals of Statistics · 1994 · 3.5K citations · Full text