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Table 2 Power of selected statistics for detecting data with local and global cluster types.

From: Comparison of tests for spatial heterogeneity on data with global clustering patterns and outliers

   Global clustering methods Local cluster detection methods
   Tango_PDM Tango_ADJ Moran's I ADJ I *pop _PD
( λ = 5%)
I *pop _PD
( λ = 50%)
I *pop _ADJ Local Moran's I SaTScana
Local clusters
relative risk = 4
sample size = 30,000
Two adjacent neighbors
(Manassas City VA)
0.107 0.127 0.024 .079 0.056 0.060 + 0.973
  Six adjacent neighbors
(Jackson County KS)
0.089 0.124 0.027 .087 0.042 0.047 + 0.962
  Ten adjacent neighbors
(Fulton County GA)
0.081 0.125 0.030 .079 0.043 0.055 + 0.979
Global clustering
relative risk = 1.5
sample size = 5.000
Linear 0.997 0.285 0.232 .884 0.996 0.119 + 0.737
  Exp 0.998 0.291 0.235 .886 0.997 0.129 + 0.781
  1. a for global clustering evaluation, we used 50% of total population as the maximum search window. With the outlier detection, we use 5% of the total population as the maximum search window in SaTScan-E.
  2. + Power calculations are not available for Local Moran's I due to the fact that a statistics is produced for each geographic unit in the study. It is difficult to define power in the presence of multiple comparisons.