Table 4 Measures of centrality robustness.

From: Missing the mark? Identifying child sexual abuse material forum structure and key-players based on public replies and private messaging networks

   

Forum A

Forum B

Measure

Description

Comparison network

In-degree

Out-degree

In-degree

Out-degree

Top 1

Is the most central node in the public replies layer the same as the most central node in the private messaging layer/the flattened network?

Private messaging

No

No

Yes

Yes

Flattened

Yes

Yes

Yes

Yes

Top 3

Is the most central node in the public replies layer in the top 3 of the most central nodes in the private messaging layer/the flattened network?

Private messaging

No

No

Yes

Yes

Flattened

Yes

Yes

Yes

Yes

Top 10%

Is the most central node in the public replies layer among the 10% most central nodes in the private messaging layer/the flattened network?

Private messaging

Yes

Yes

Yes

Yes

Flattened

Yes

Yes

Yes

Yes

Overlap

(Szymkiewicz–Simpson coefficient)

What is the overlap between the 10% most central nodes in the public replies layer and the private messaging layer/the flattened network?

Private messaging

0.74

0.60

0.93

0.88

Flattened

1

1

0.98

0.97

R

What is the correlation of the centralities between the public replies layer and the private messaging layer/flattened network (limited to actors who are in both layers)?

Private messaging

0.54

0.39

0.63

0.63

Flattened

0.93

0.94

0.98

0.998

  1. Table adapted from Borgatti et al. (2006). Szymkiewicz–Simpson coefficient = \(\frac{{|A}\cap {B|}}{\min (\left|A\right|,\,\left|B\right|)}\).