Power comparisons for disease clustering tests

  • Authors:
  • Martin Kulldorff;Toshiro Tango;Peter J. Park

  • Affiliations:
  • Department of Statistics, University of Connecticut, Storrs, CT and Department of Community Medicine and Health Care, University of Connecticut, 263 Farmington Avenue, Farmington, CT;Division of Theoretical Epidemiology, Department of Epidemiology, The Institute of Public Health, 6-1 Shirokanedai 4 chome, Minato-ku, Tokyo 108, Japan;Department of Biostatistics, Harvard School of Public Health, 655 Huntington Ave, Boston, MA

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2003

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Abstract

Many different methods have been proposed to test for geographical disease clustering, and more generally, for spatial clustering of any type of observations while adjusting for an inhomogeneous background population generating the observations. Despite the many proposed test statistics, there has been few formal comparisons conducted. We present a collection of 1,220,000 simulated benchmark data sets generated under 51 different cluster models and the null hypothesis, to be used for power evaluations. We then use these data sets to compare the power of the spatial scan statistic, the maximized excess events test and the nonparametric M statistic. All have good power, the first having an advantage for localized hot-spot type clusters and the second for global clustering where randomly located cases generate other cases close by. By making the simulated data sets publicly available, new tests can easily be compared with previously evaluated tests by analyzing the same benchmark data.