Evaluation of putative hazard tests under background risk heterogeneity

In this paper, an evaluation of some tests for adverse health effects around fixed locations (putative hazard sites) is made. We address the situation where a heterogeneous background is included both in terms of correlated and uncorrelated heterogeneity (UH). In addition, we examine a set of tests for case event data (residential case addresses) including both distance and directional effects. The tests include distance and directional score tests (DIR), integrated intensity tests, the Besag & Newell (BES) test, and Kulldorff's focus clustering scan test. Monte Carlo power of the tests is evaluated and power curves are finally presented. Interesting results from this work include the lack of power found when correlated heterogeneity (CH) is present. This is not found with UH. The BES and Scan tests have lower power than the integrated intensity tests and score tests in general. The integrated intensity test demonstrates its omnibus ability to detect either distance or directional effects. Copyright © 2008 John Wiley & Sons, Ltd.

[1]  Martin Kulldorff,et al.  Power evaluation of disease clustering tests , 2003, International journal of health geographics.

[2]  J. Møller,et al.  Log Gaussian Cox Processes , 1998 .

[3]  J. Wakefield,et al.  Modeling Spatial Variation in Disease Risk , 2002 .

[4]  G. Shedler,et al.  Simulation of Nonhomogeneous Poisson Processes by Thinning , 1979 .

[5]  Andrew B. Lawson,et al.  Statistical Methods in Spatial Epidemiology: Lawson/Statistical Methods in Spatial Epidemiology , 2006 .

[6]  M Kulldorff,et al.  Spatial disease clusters: detection and inference. , 1995, Statistics in medicine.

[7]  David W. Scott,et al.  Multivariate Density Estimation: Theory, Practice, and Visualization , 1992, Wiley Series in Probability and Statistics.

[8]  Andrew B Lawson,et al.  Some simple tests for spatial effects around putative sources of health risk. , 2007, Biometrical journal. Biometrische Zeitschrift.

[9]  A B Lawson,et al.  The power of focused tests to detect disease clustering. , 1995, Statistics in medicine.

[10]  D. M. Titterington,et al.  Some Methods for Investigating Spatial Clustering, with Epidemiological Applications , 1997 .

[11]  Andrew B Lawson,et al.  Scale and shape issues in focused cluster power for count data , 2005, International journal of health geographics.

[12]  Natalie W. Harrington,et al.  The analysis of putative environmental pollution gradients in spatially correlated epidemiological data , 1996 .

[13]  Julian Besag,et al.  The Detection of Clusters in Rare Diseases , 1991 .

[14]  Peter J. Park,et al.  Power comparisons for disease clustering tests , 2003, Comput. Stat. Data Anal..

[15]  Andrew B. Lawson,et al.  On composite intensity score tests , 1993 .