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Bayesian Disease Mapping

Hierarchical Modeling in Spatial Epidemiology

By Andrew B. Lawson

Chapman and Hall/CRC – 2008 – 368 pages

Series: Chapman & Hall/CRC Interdisciplinary Statistics

Purchasing Options:

  • Add to CartHardback: $98.95
    978-1-58488-840-6
    August 5th 2008

Description

Focusing on data commonly found in public health databases and clinical settings, Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology provides an overview of the main areas of Bayesian hierarchical modeling and its application to the geographical analysis of disease.

The book explores a range of topics in Bayesian inference and modeling, including Markov chain Monte Carlo methods, Gibbs sampling, the Metropolis–Hastings algorithm, goodness-of-fit measures, and residual diagnostics. It also focuses on special topics, such as cluster detection; space-time modeling; and multivariate, survival, and longitudinal analyses. The author explains how to apply these methods to disease mapping using numerous real-world data sets pertaining to cancer, asthma, epilepsy, foot and mouth disease, influenza, and other diseases. In the appendices, he shows how R and WinBUGS can be useful tools in data manipulation and simulation.

Applying Bayesian methods to the modeling of georeferenced health data, Bayesian Disease Mapping proves that the application of these approaches to biostatistical problems can yield important insights into data.

Reviews

This book provides a technical grounding in spatial models while maintaining a strong grasp on applied epidemiological problems. … A welcome effort is made to clarify concepts which might, in other texts, have been skimmed over in a rush to fit models. … From the start, the concepts are illustrated with disease mapping examples, including R and WinBUGS code. … The book has relatively few errors … I recommend the book. It taught me new ideas and clarified existing ones. I shall continue to use it and I expect it to be useful for other statisticians with an interest in spatial analysis.

Journal of the Royal Statistical Society, Series A, April 2011

The readers who would like to get a big picture of hierarchical modeling in spatial epidemiology in a quick fashion will find this book very useful. This book covers a range of topics in hierarchical modeling for spatial epidemiological data and provides a practical, comprehensive, and up-to-date overview of the use of spatial statistics in epidemiology. … useful for readers to track down the topics of interests and see the varieties of up-to-date modeling techniques in spatial epidemiology or, more generally, spatial binary or count data. The author also lists the reference following each method for further information.

—Hongfei Li, Technometrics, November 2010

Lawson begins by building a solid Bayesian background … The remaining seven chapters provide a thorough review of modeling relative risk … Lawson provides well-written reviews of many topics and many aspects of those topics are covered in his reviews. The literature cited is huge and diverse, showing the current importance of the subjects covered. One can also gain hands-on training in analysis and visual presentations … by following carefully the detailed introduction to R and WinBUGS given in the book. Many important data sets used in the book are available online…

International Statistical Review (2009), 77, 2

This book is an excellent reference for intermediate learners of Bayesian disease mapping … many of the methodologies discussed in this book are applicable not only to spatial epidemiology but also to many other fields that utilize spatial data.

—J. Law, Biometrics, June 2009

Contents

BACKGROUND

Introduction

Data Sets

Bayesian Inference and Modeling

Likelihood Models

Prior Distributions

Posterior Distributions

Predictive Distributions

Bayesian Hierarchical Modeling

Hierarchical Models

Posterior Inference

Exercises

Computational Issues

Posterior Sampling

Markov Chain Monte Carlo Methods

Metropolis and Metropolis–Hastings Algorithms

Gibbs Sampling

Perfect Sampling

Posterior and Likelihood Approximations

Exercises

Residuals and Goodness-of-Fit

Model Goodness-of-Fit Measures

General Residuals

Bayesian Residuals

Predictive Residuals and the Bootstrap

Interpretation of Residuals in a Bayesian Setting

Exceedence Probabilities

Exercises

THEMES

Disease Map Reconstruction and Relative Risk Estimation

An Introduction to Case Event and Count Likelihoods

Specification of the Predictor in Case Event and Count Models

Simple Case and Count Data Models with Uncorrelated Random Effects

Correlated Heterogeneity Models

Convolution Models

Model Comparison and Goodness-of-Fit Diagnostics

Alternative Risk Models

Edge Effects

Exercises

Disease Cluster Detection

Cluster Definitions

Cluster Detection using Residuals

Cluster Detection using Posterior Measures

Cluster Models

Edge Detection and Wombling

Ecological Analysis

General Case of Regression

Biases and Misclassification Error

Putative Hazard Models

Multiple Scale Analysis

Modifiable Areal Unit Problem (MAUP)

Misaligned Data Problem (MIDP)

Multivariate Disease Analysis

Notation for Multivariate Analysis

Two Diseases

Multiple Diseases

Spatial Survival and Longitudinal Analyses

General Issues

Spatial Survival Analysis

Spatial Longitudinal Analysis

Extensions to Repeated Events

Spatiotemporal Disease Mapping

Case Event Data

Count Data

Alternative Models

Infectious Diseases

Appendix A: Basic R and WinBUGS

Appendix B: Selected WinBUGS Code

Appendix C: R Code for Thematic Mapping

References

Index

Name: Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology (Hardback)Chapman and Hall/CRC 
Description: By Andrew B. Lawson. Focusing on data commonly found in public health databases and clinical settings, Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology provides an overview of the main areas of Bayesian hierarchical modeling and its application to the...
Categories: Statistics for the Biological Sciences, Statistics & Computing, Statistical Theory & Methods