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Table 6 Average sensitivity, PPV and cost of cluster detection methods

From: Detection of clusters of a rare disease over a large territory: performance of cluster detection methods

  

"Small Clusters"1

"Moderate Clusters"1

"Large Clusters"1

  

#1

#2

#3

#4

#5

#6

#7

#8

#9

  

Linear

U-Shaped

Compact

Linear

U-Shaped

Compact

Linear

U-Shaped

Compact

  

6 LZ

10 LZ

8 LZ

7 LZ

7 LZ

11 LZ

12 LZ

16 LZ

13 LZ

Average sensitivity

       

RR = 1.5

Scan-c

      

0.52

0.40

0.68

 

Scan-e0

      

0.52

0.38

0.61

 

FleX

      

0.43

0.35

0.49

 

GA-1

      

0.37

0.30

0.47

 

Double

      

0.42

0.31

0.39

 

Mlink

      

0.49

0.38

0.46

RR = 2.0

Scan-c

   

0.49

0.63

0.81

0.59

0.49

0.82

 

Scan-e0

   

0.64

0.46

0.75

0.71

0.45

0.78

 

FleX

   

0.57

0.68

0.64

0.50

0.43

0.64

 

GA-1

   

0.54

0.54

0.78

0.45

0.35

0.60

 

Double

   

0.48

0.48

0.63

0.50

0.37

0.51

 

Mlink

   

0.50

0.54

0.69

0.58

0.46

0.57

RR = 3.0

Scan-c

0.48

0.43

0.79

0.51

0.75

0.93

0.63

0.54

0.90

 

Scan-e0

0.82

0.18

0.82

0.85

0.50

0.92

0.89

0.49

0.88

 

FleX

0.68

0.70

0.82

0.69

0.86

0.78

0.61

0.51

0.75

 

GA-1

0.65

0.60

0.73

0.53

0.57

0.86

0.57

0.39

0.70

 

Double

0.43

0.39

0.81

0.52

0.57

0.79

0.60

0.44

0.59

 

Mlink

0.44

0.44

0.66

0.55

0.63

0.81

0.66

0.49

0.62

Average PPV

        

RR = 1.5

Scan-c

      

0.46

0.50

0.69

 

Scan-e0

      

0.40

0.39

0.53

 

FleX

      

0.45

0.49

0.57

 

GA-1

      

0.47

0.52

0.58

 

Double

      

0.54

0.54

0.62

 

Mlink

      

0.43

0.46

0.51

RR = 2.0

Scan-c

   

0.39

0.46

0.81

0.57

0.57

0.84

 

Scan-e0

   

0.47

0.33

0.65

0.61

0.52

0.73

 

FleX

   

0.45

0.49

0.67

0.57

0.61

0.74

 

GA-1

   

0.42

0.41

0.77

0.68

0.69

0.76

 

Double

   

0.56

0.55

0.77

0.70

0.67

0.80

 

Mlink

   

0.50

0.51

0.75

0.63

0.59

0.74

RR = 3.0

Scan-c

0.51

0.68

0.73

0.43

0.59

0.90

0.68

0.63

0.92

 

Scan-e0

0.73

0.25

0.73

0.73

0.44

0.90

0.73

0.53

0.89

 

FleX

0.57

0.76

0.77

0.65

0.70

0.83

0.75

0.79

0.88

 

GA-1

0.55

0.79

0.82

0.52

0.55

0.89

0.88

0.86

0.86

 

Double

0.72

0.73

0.88

0.70

0.73

0.92

0.85

0.81

0.89

 

Mlink

0.65

0.66

0.80

0.68

0.72

0.91

0.82

0.70

0.91

Average cost

        

RR = 1.5

Scan-c

      

14.00

16.70

8.60

 

Scan-e0

      

15.50

19.80

12.50

 

FleX

      

13.20

16.20

11.30

 

GA-1

      

13.30

16.10

11.40

 

Double

      

11.60

15.60

11.40

 

Mlink

      

14.40

17.40

13.60

RR = 2.0

Scan-c

   

10.30

8.40

4.80

11.10

14.60

4.80

 

Scan-e0

   

9.20

11.70

8.10

9.30

16.00

6.90

 

FleX

   

8.30

7.40

7.60

10.70

13.60

7.70

 

GA-1

   

9.20

9.50

5.30

9.60

13.40

7.70

 

Double

   

7.00

6.90

6.60

9.10

13.40

8.40

 

Mlink

   

8.50

8.00

6.60

10.10

14.80

9.10

RR = 3.0

Scan-c

8.00

9.10

4.50

9.10

5.70

2.10

8.70

12.70

2.40

 

Scan-e0

3.60

13.80

4.60

3.70

8.50

2.30

5.50

15.40

3.10

 

FleX

5.50

5.50

3.80

5.20

3.80

4.30

7.20

10.10

4.70

 

GA-1

6.00

6.10

3.70

7.20

6.60

2.90

6.20

11.00

5.50

 

Double

5.10

8.10

2.80

5.20

4.60

3.30

6.40

11.00

6.40

 

Mlink

5.90

9.10

4.80

5.30

4.60

3.20

6.40

12.60

6.10

  1. Scan-c: circular scan method, Scan-e 0: standard elliptic scan method, FleX: unrestricted flexible scan method, GA-1: strongly penalized genetic algorithm, Double and Mlink: dynamic minimum spanning tree method with double and maximum link connections, respectively. Results based on 250 Monte Carlo replications. 1 "small", "moderate" and "large" clusters are clusters with about 20, 45 and 115 cases of childhood acute leukemia over the period 1990-2006, respectively.