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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.