The geography of power: statistical performance of tests of clusters and clustering in heterogeneous populations
- 2 February 2006
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 25 (5) , 853-865
- https://doi.org/10.1002/sim.2418
Abstract
Heterogeneous population densities complicate comparisons of statistical power between hypothesis tests evaluating spatial clusters or clustering of disease. Specifically, the location of a cluster within a heterogeneously distributed population at risk impacts power properties, complicating comparisons of tests, and allowing one to map spatial variations in statistical power for different tests. Such maps provide insight into the overall power of a particular test, and also indicate areas within the study area where tests are more or less likely to detect the same local increase in relative risk. While such maps are largely driven by local sample size, we also find differences due to features of the statistics themselves. We illustrate these concepts using two tests: Tango's index of clustering and the spatial scan statistic. Furthermore, assessments of the accuracy of the ‘most likely cluster’ involve not only statistical power, but also spatial accuracy in identifying the location of a true underlying cluster. We illustrate these concepts via induction of artificial clusters within the observed incidence of severe cardiac birth defects in Santa Clara County, CA in 1981. Copyright © 2006 John Wiley & Sons, Ltd.Keywords
This publication has 15 references indexed in Scilit:
- Power comparisons for disease clustering testsComputational Statistics & Data Analysis, 2003
- A weighted average likelihood ratio test for spatial clustering of diseaseStatistics in Medicine, 2001
- The Abuse of PowerThe American Statistician, 2001
- A spatial scan statisticCommunications in Statistics - Theory and Methods, 1997
- A class of tests for detecting ‘general’ and ‘focused’ clustering of rare diseasesStatistics in Medicine, 1995
- The power of focused tests to detect disease clusteringStatistics in Medicine, 1995
- Disease Models Implicit in Statistical Tests of Disease ClusteringEpidemiology, 1995
- Spatial disease clusters: Detection and inferenceStatistics in Medicine, 1995
- An Examination of Three Spatial Disease Clustering MethodologiesInternational Journal of Epidemiology, 1988