Disease mapping: from foundations to multidimensional modeling

<P><STRONG>I DISEASE MAPPING: THE FOUNDATIONS</STRONG></P><P></P><P><STRONG>1 Introduction</STRONG></P><P>Some considerations on this book</P><P>Notation</P><B><P></P><P>2 Some basic ideas of Bayesian inference</P></B><P>Bayesian inference</P><P>Some useful probability distributions</P><P>Bayesian Hierarchical Models</P><P>Markov chain Monte Carlo Computing</P><P>Convergence assessment of MCMC simulations</P><P></P><B><P>3 Some essential tools for the practice of Bayesian disease mapping</P></B><P>WinBUGS</P><P>The BUGS language</P><P>Running models in WinBUGS</P><P>Calling WinBUGS from R</P><P>INLA</P><P>INLA basics </P><P>Plotting maps in R</P><P>Some interesting resources in R for disease mapping practitioners</P><B><P></P><P>4 Disease mapping from foundations</P></B><P>Why disease mapping?</P><P>Risk measures in epidemiology</P><P>Risk measures as statistical estimators </P><P>Disease mapping, the statistical problem </P><P>Non-spatial smoothing</P><P>Spatial smoothing</P><P>Spatial distributions</P><P>The Intrinsic CAR distribution</P><P>Some proper CAR distributions</P><P>Spatial hierarchical models</P><P>Prior choices in disease mapping models</P><P>Some computational issues on the BYM model</P><P>Some illustrative results on real data</P><B><P></P><P>II DISEASE MAPPING: TOWARDS MULTIDIMENSIONAL MODELING</P><P></P><P>5 Ecological Regression</P></B><P>Ecological regression: a motivation</P><P>Ecological regression in practice</P><P>Some issues to take care of in ecological regression studies</P><P>Confounding </P><P>Fallacies in ecological regression</P><P>The Texas sharpshooter fallacy</P><P>The ecological fallacy</P><P>Some particular applications of ecological regression</P><P>Spatially varying coefficients models</P><P>Point source modelling</P><B><P></P><P>6 Alternative spatial structures </P></B><P>CAR-based spatial structures</P><P>Geostatistical modeling</P><P>Moving-average based spatial dependence</P><P>Splines based modeling </P><P>Modelling of specific features in disease mapping studies</P><P>Modeling partitions and discontinuities</P><P>Models for fitting zero excesses</P><B><P></P><P>7 Spatio-temporal disease mapping</P></B><P>Some general issues in spatio-temporal modelling</P><P>Parametric temporal modelling</P><P>Splines-based modelling</P><P>Non-parametric temporal modelling</P><B><P></P><P>8 Multivariate modelling</P></B><P>Conditionally specified models</P><P>Multivariate models as sets of conditional multivariate Distributions</P><P>Multivariate models as sets of conditional univariate distributions</P><P>Coregionalization models</P><P>Factor models, Smoothed ANOVA and other approaches</P><P>Factor models </P><P>Smoothed ANOVA</P><P>Other approaches</P><B><P></P><P>9 Multidimensional modelling</P></B><P>A brief introduction and review of multidimensional modeling</P><P>A formal framework for multidimensional modeling</P><P>Some tools and notation</P><P>Separable modeling</P><P>Inseparable modeling</P><B><P></P><P>Annex </P></B>