Statistical Detection and Surveillance of Geographic Clusters

Statistical Detection and Surveillance of Geographic Clusters

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Description

The widespread popularity of geographic information systems (GIS) has led to new insights in countless areas of application. It has facilitated not only the collection and storage of geographic data, but also the display of such data. Building on this progress by using an integrated approach, Statistical Detection and Monitoring of Geographic Clusters provides the statistical tools to identify whether data on a given map deviates significantly from expectations and to determine quickly whether new point patterns are emerging over time. The book begins with a review of statistical methods for cluster detection, organized according to the different types of hypotheses and questions about clustering that can be investigated. It then delineates methods that allow for the quick detection of emergent geographic clusters. The book delivers a cohesive presentation unlike that of most edited volumes. Drawing on the authors' extensive work in the field, the book delineates methods in such a way that they can be applied, almost instantly, to an array of disciplines. The readily applicable methods the book describes are useful for a multitude of problems in a variety of fields, particularly disease surveillance in the public health industry. Statistical Detection and Monitoring of Geographic Clusters is an essential volume for your reference shelf.show more

Product details

  • Hardback | 324 pages
  • 160 x 234 x 24mm | 621.42g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • New.
  • 85 black & white illustrations, 63 black & white tables
  • 1584889357
  • 9781584889359
  • 2,412,515

Review quote

Researchers in a surprisingly diverse range of disciplines find themselves faced with problems needing the methods that are described in this book: the detection of anomalous groupings of objects or events within geographical distributions. ... Chapters 7-10 [explore] methods for the prospective detection of changes as they occur. This area is rapidly becoming increasingly important in applications such as detecting outbreaks of disease, fraud and even potential terrorist activity. The book is liberally illustrated with real examples and data ... a good introduction to the ideas for students encountering them for the first time. -Journal of the Royal Statistical Society, Series A, 2010 Attractive features of this book are: (1) introduction of various statistical methods/tests for geographic clusters and surveillance, (2) many figures and tables to facilitate understanding, and (3) illustration of each method with real data. ... readers who are particularly interested in surveillance will find this book a helpful guide. -Journal of the American Statistical Association, Sept. 2010, Vol. 105, No. 491 In contrast to most edited books, the authors' text provides a comprehensive presentation that will provide a valuable reference source for years to come. I recommend that anyone working with geographic information systems (GIS) consult this volume, as there are many valuable nuggets of information-many unexpected! -International Statistical Review, 2009show more

Table of contents

Introduction and Overview Setting the Stage The Roles of Spatial Statistics in Public Health and Other Fields Limitations Associated with the Visualization of Spatial Data Some Fundamental Concepts and Distinctions Types of Tests for Clustering Structure of the Book Software Resources and Sample Data Introductory Spatial Statistics: Description and Inference Introduction Mean Center Median Center Standard Distance Relative Standard Distance Inferential Statistical Tests of Central Tendency and Dispersion Illustration Angular Data Characteristics of Spatial Processes: First-Order and Second-Order Variation Kernel Density Estimation K-Functions Differences and Ratios of Kernel Density Estimators Differences in K-Functions Global Statistics Introduction Nearest Neighbor Statistic Quadrat Methods Spatial Dependence: Moran's I Geary's C A Comparison of Moran's I and Geary's C Oden's Ipop Statistic Tango's Statistic and a Spatial Chi-Square Statistic Getis and Ord's Global Statistic Case-Control Data: The Cuzick-Edwards Test A Global Quadrat Test of Clustering for Case-Control Data A Modified Cuzick-Edwards Test Local Statistics Introduction Local Moran Statistic Score Statistic Tango's CF Statistic Getis' Gi Statistic Stone's Test Modeling around Point Sources with Case-Control Data Cumulative and Maximum Chi-Square Tests as Focused Tests The Local Quadrat Test and an Introduction to Multiple Testing via the M-Test Tests for the Detection of Clustering, Including Scan Statistics Introduction Openshaw et al.'s Geographical Analysis Machine (GAM) Besag and Newell's Test for the Detection of Clusters Fotheringham and Zhan's Method Cluster Evaluation Permutation Procedure Exploratory Spatial Analysis Approach of Rushton and Lolonis Kulldorff's Spatial Scan Statistic with Variable Window Size Bonferroni and Sidak Adjustments Improvements on the Bonferroni Adjustment Rogerson's Statistical Method for the Detection of Geographic Clustering Retrospective Detection of Changing Spatial Patterns Introduction The Knox Statistic for Space-Time Interaction Test for a Change in Mean for a Series of Normally Distributed Observations Retrospective Detection of Change in Multinomial Probabilities Introduction to Statistical Process Control and Nonspatial Cumulative Sum Methods of Surveillance Introduction Shewhart Charts Cumulative Sum (Cusum) Methods Monitoring Small Counts Cumulative Sums for Poisson Variables Cusum Methods for Exponential Data Other Useful Modifications for Cusum Charts More on the Choice of Cusum Parameters Other Methods for Temporal Surveillance Spatial Surveillance and the Monitoring of Global Statistics Brief Overview of the Development of Methods for Spatial Surveillance Introduction to Monitoring Global Spatial Statistics Cumulative Sum Methods and Global Spatial Statistics That Are Observed Periodically CUSUM Methods and Global Spatial Statistics That Are Updated Periodically Summary and Discussion Cusum Charts for Local Statistics and for the Simultaneous Monitoring of Many Regions Monitoring around a Predefined Location Spatial Surveillance: Separate Charts for Each Region Monitoring Many Local Statistics Simultaneously Summary Appendix More Approaches to the Statistical Surveillance of Geographic Clustering Introduction Monitoring Spatial Maxima Multivariate Cusum Approaches Summary:Associated Tests for Cluster Detection and Surveillance Introduction Associated Retrospective Statistical Tests Associated Prospective Statistical Tests: Regional Surveillance for Quick Detection of Change References Author Index Subject Indexshow more

About Peter Rogerson

University of Buffalo, New York, USA University of Utah, Salt Lake City, USAshow more

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