Table 1 Simulation scenarios with homogeneous/heterogeneous clusters.

From: Using the maximum clustering heterogeneous set-proportion to select the maximum window size for the spatial scan statistic

Location

Homogeneous clusters

Heterogeneous clusters

Rural

Mixed

Urban

Two clusters

Three clusters

Cases

Size

POP

RR

P

POP

RR

P

POP

RR

P

POP

H

POP

H

600

1

2675

192.89

1.998

710196

2.85

1.946

786178

2.73

1.941

788853

190.16

1499049

190.16

2

22911

27.03

1.992

817050

2.70

1.943

1072181

2.43

1.932

1095092

24.6

1912142

24.6

4

132343

7.05

1.979

1108440

2.40

1.931

2953077

1.81

1.881

3085420

5.24

4193860

5.24

8

204829

5.35

1.971

1352284

2.24

1.923

5018909

1.63

1.836

5223738

3.72

6576022

3.72

16

360275

3.9

1.961

1684327

2.1

1.914

7627173

1.53

1.785

7987448

2.37

9671775

2.37

6000

1

2675

23.73

20.27

710196

1.45

20.09

786178

1.43

20.08

788853

22.3

1499049

22.3

2

22911

4.96

20.25

817050

1.42

20.09

1072181

1.36

20.05

1095092

3.6

1912142

3.6

4

132343

2.21

20.21

1108440

1.36

20.04

2953077

1.22

19.88

3085420

0.99

4193860

0.99

8

204829

1.92

20.18

1352284

1.32

20.02

5018909

1.17

19.73

5223738

0.75

6576022

0.75

16

360275

1.66

20.15

1684327

1.29

19.99

7627173

1.15

19.57

7987448

0.51

9671775

0.51

  1. Note: POP is the total population in the clusters. RR is the relative risk of the clusters. P is the incidence (×10−5) out of the clusters. Because the case numbers follow a Poisson distribution under the null hypothesis, the incidence rate also reflects random fluctuation out of the clusters. H is the difference between the maximal RR and minimal RR that reflects the strength of the heterogeneity among the clusters. Heterogeneity among the clusters becomes lower as the cluster number, total case number and cluster size grow.
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