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Table 1 Frequency of the selected number of clusters for each scenario and time series length

From: Functional clustering of time series gene expression data by Granger causality

Time series length/Number of clusters

1

2

3

4

6

5

silhouette width

Scenario 1

50

0

0

48

700

252

0

0.502 (0.098)

75

0

0

1

785

214

0

0.582 (0.054)

100

0

0

3

805

192

0

0.610 (0.042)

200

0

0

4

825

171

0

0.641 (0.034)

Scenario 2

50

0

0

65

713

222

0

0.479 (0.112)

75

0

0

28

760

212

0

0.555 (0.071)

100

0

0

9

834

157

0

0.587 (0.050)

200

0

0

3

883

114

0

0.621 (0.029)

Scenario 3

50

0

0

63

666

271

0

0.461 (0.123)

75

0

0

18

784

198

0

0.552 (0.078)

100

0

0

8

851

141

0

0.586 (0.050)

200

0

0

6

883

111

0

0.618 (0.031)

Scenario 4

50

0

0

53

686

261

0

0.465 (0.110)

75

0

0

17

786

197

0

0.551 (0.075)

100

0

0

11

815

174

0

0.581 (0.055)

200

0

0

6

887

107

0

0.619 (0.033)

  1. In bold are the correct number of clusters. Between brackets is one standard deviation for the silhouette width calculated in the breakpoint. For each scenario and each time series length, the number of repetitions was set to 1,000.