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Journal ArticleDOI

Modelling risk from a disease in time and space.

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TLDR
The Ohio data set has been of particular interest because of the suggestion that a nuclear facility in the southwest of the state may have caused increased levels of lung cancer there, but it is argued here that the data are inadequate for a proper investigation of this issue.
Abstract
This paper combines existing models for longitudinal and spatial data in a hierarchical Bayesian framework, with particular emphasis on the role of time- and space-varying covariate effects. Data analysis is implemented via Markov chain Monte Carlo methods. The methodology is illustrated by a tentative re-analysis of Ohio lung cancer data 1968-1988. Two approaches that adjust for unmeasured spatial covariates, particularly tobacco consumption, are described. The first includes random effects in the model to account for unobserved heterogeneity; the second adds a simple urbanization measure as a surrogate for smoking behaviour. The Ohio data set has been of particular interest because of the suggestion that a nuclear facility in the southwest of the state may have caused increased levels of lung cancer there. However, we contend here that the data are inadequate for a proper investigation of this issue.

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Citations
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Journal ArticleDOI

Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations

TL;DR: This work considers approximate Bayesian inference in a popular subset of structured additive regression models, latent Gaussian models, where the latent field is Gaussian, controlled by a few hyperparameters and with non‐Gaussian response variables and can directly compute very accurate approximations to the posterior marginals.
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Applied Spatial Statistics for Public Health Data

TL;DR: In this paper, the authors present a method for estimating risk and risk of cancer in public health data using statistical methods for spatial data in the context of geographic information systems (GISs).
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Spatial Data Analysis: Theory and Practice

TL;DR: This work focuses on the development of models for statistical modeling of spatial variation in the context of scientific and policy context, as well as the nature of spatial data.
Journal ArticleDOI

Bayesian modelling of inseparable space-time variation in disease risk

TL;DR: A unified framework for a Bayesian analysis of incidence or mortality data in space and time is proposed and an epidemiological hypothesis about the temporal development of the association between urbanization and risk factors for cancer is confirmed.
Journal ArticleDOI

A comparison of Bayesian spatial models for disease mapping.

TL;DR: A comprehensive review of the main classes of such models that have been used for disease mapping within a Bayesian estimation paradigm, and a performance comparison between representative models in these classes are reported, using a set of simulated data to help illustrate their respective properties.
References
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Journal ArticleDOI

Generalized Additive Models.

Journal Article

Rejoinder (Bayesian image restoration,with two applications in spatial statistics)

TL;DR: The present paper argues that many problems in the analysis of spatial data can be interpreted as problems of image restoration, since the amounts of data involved allow routine use of computer intensive methods, such as the Gibbs sampler, that are not yet practicable for conventional images.
Book

Bayesian Forecasting and Dynamic Models

TL;DR: In this article, the authors propose a model called the Dynamic Regression Model (DRM) which is an extension of the First-Order Polynomial Model (FOPM) and the Dynamic Linear Model (DLM).
Journal ArticleDOI

Statistical Analysis of Non-Lattice Data

TL;DR: In this article, a fixed system of n sites, labelled by the first n positive integers, and an associated vector x of observations, Xi,..., Xn, which, in turn, is assumed to be a realization of a vector X of (dependent) random variables, Xi,.., Xn, X.. In practice the sites may represent points or regions in space and the random variables may be either continuous or discrete.
Journal ArticleDOI

Empirical Bayes estimates of age-standardized relative risks for use in disease mapping.

TL;DR: A new approach using empirical Bayes estimation is proposed to map incidence and mortality from diseases such as cancer and the resulting estimators represent a weighted compromise between the SMR, the overall mean relative rate, and a local mean of the relative rate in nearby areas.
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