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Table 7 Statistics for the Italian Election dataset node features

From: Detecting bots in social-networks using node and structural embeddings

 

KS p–value

Mean

STD

Median

Not-Bot

Bot

Not-Bot

Bot

Not-Bot

Bot

\(degree\_centrality\)

1.332e–15

2.600e–04

2.874e–04

2.572e–03

1.489e–03

8.063e–05

8.063e–05

authority

1.000e+00

1.298e–04

1.024e–04

1.134e–02

8.611e–05

2.221e–17

1.748e–04

closeness

1.000e+00

2.993e–01

4.539e–01

2.292e–01

2.093e–01

2.172e–01

5.001e–01

betweenness

1.332e–15

7.929e+03

1.356e+04

5.707e+04

1.347e+05

0.000e+00

0.000e+00

\(hub\_score\)

1.000e+00

1.298e–04

1.024e–04

1.134e–02

8.611e–05

2.221e–17

1.748e–04

constraint

1.332e–15

7.483e–01

8.606e–01

3.367e–01

2.930e–01

1.000e+00

1.000e+00

coreness

1.332e–15

1.986e+00

1.474e+00

2.042e+00

1.561e+00

1.000e+00

1.000e+00

eccentricity

1.000e+00

8.513e+00

4.277e+00

3.151e+00

3.701e+00

1.000e+01

2.000e+00

\(harmonic\_centrality\)

1.000e+00

1.159e–01

1.049e–01

5.474e–02

4.228e–02

1.363e–01

1.111e–01

pagerank

1.000e+00

7.513e–05

8.992e–05

1.160e–03

3.302e–04

4.123e–05

4.359e–05

\(nb\_mean\_degree\_centrality\)

1.000e+00

9.788e–03

1.314e–01

2.077e–02

1.080e–01

3.697e–03

2.221e–01

\(nb\_min\_degree\_centrality\)

1.000e+00

7.782e–03

1.311e–01

2.087e–02

1.084e–01

1.129e–03

2.221e–01

\(nb\_max\_degree\_centrality\)

1.000e+00

1.307e–02

1.322e–01

2.198e–02

1.071e–01

5.563e–03

2.221e–01

\(nb\_std\_degree\_centrality\)

1.332e–15

6.683e–03

2.365e–03

6.537e–03

3.973e–03

4.903e–03

7.982e–04

\(nb\_mean\_authority\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

7.639e–16

1.000e+00

\(nb\_min\_authority\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

2.132e–16

1.000e+00

\(nb\_max\_authority\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

1.124e–15

1.000e+00

\(nb\_std\_authority\)

1.332e–15

1.321e–15

4.721e–16

1.271e–15

7.874e–16

9.460e–16

1.582e–16

\(nb\_mean\_closeness\)

1.000e+00

3.573e–01

7.583e–01

2.622e–01

3.518e–01

2.594e–01

1.000e+00

\(nb\_min\_closeness\)

1.000e+00

3.464e–01

7.525e–01

2.656e–01

3.595e–01

2.471e–01

1.000e+00

\(nb\_max\_closeness\)

1.000e+00

3.689e–01

7.660e–01

2.605e–01

3.422e–01

2.742e–01

1.000e+00

\(nb\_std\_closeness\)

1.332e–15

2.897e–02

3.192e–02

2.835e–02

3.601e–02

2.395e–02

2.580e–02

\(nb\_mean\_betweenness\)

1.000e+00

6.903e+05

2.331e+06

9.976e+05

1.785e+06

2.028e+05

3.794e+06

\(nb\_min\_betweenness\)

1.000e+00

5.158e+05

2.298e+06

9.820e+05

1.818e+06

3.925e+04

3.794e+06

\(nb\_max\_betweenness\)

1.000e+00

1.025e+06

2.418e+06

1.307e+06

1.735e+06

3.349e+05

3.794e+06

\(nb\_std\_betweenness\)

1.332e–15

6.359e+05

2.543e+05

6.725e+05

4.793e+05

4.200e+05

7.926e+04

\(nb\_mean\_hub\_score\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

7.639e–16

1.000e+00

\(nb\_min\_hub\_score\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

2.132e–16

1.000e+00

\(nb\_max\_hub\_score\)

1.000e+00

7.069e–03

5.861e–01

8.378e–02

4.926e–01

1.124e–15

1.000e+00

\(nb\_std\_hub\_score\)

1.332e–15

1.321e–15

4.721e–16

1.271e–15

7.874e–16

9.460e–16

1.582e–16

\(nb\_mean\_constraint\)

1.000e+00

1.923e–01

1.673e–01

2.834e–01

3.030e–01

5.828e–02

3.630e–04

\(nb\_min\_constraint\)

1.000e+00

1.489e–01

1.208e–01

2.757e–01

2.743e–01

2.362e–02

3.630e–04

\(nb\_max\_constraint\)

1.000e+00

2.660e–01

2.239e–01

3.516e–01

3.794e–01

8.484e–02

3.630e–04

\(nb\_std\_constraint\)

1.332e–15

1.427e–01

2.290e–01

1.698e–01

1.794e–01

6.639e–02

2.427e–01

\(nb\_mean\_coreness\)

1.000e+00

6.150e+00

2.254e+00

3.997e+00

2.689e+00

6.688e+00

1.000e+00

\(nb\_min\_coreness\)

1.000e+00

5.190e+00

1.839e+00

4.016e+00

2.336e+00

4.000e+00

1.000e+00

\(nb\_max\_coreness\)

1.000e+00

6.918e+00

2.752e+00

4.465e+00

3.535e+00

8.000e+00

1.000e+00

\(nb\_std\_coreness\)

1.332e–15

2.131e+00

1.956e+00

1.869e+00

1.836e+00

2.041e+00

1.708e+00

\(nb\_mean\_eccentricity\)

1.000e+00

7.858e+00

3.543e+00

3.018e+00

3.868e+00

9.000e+00

1.000e+00

\(nb\_min\_eccentricity\)

1.000e+00

7.641e+00

3.397e+00

2.948e+00

3.658e+00

9.000e+00

1.000e+00

\(nb\_max\_eccentricity\)

1.000e+00

8.065e+00

3.652e+00

3.124e+00

4.037e+00

9.000e+00

1.000e+00

\(nb\_std\_eccentricity\)

1.332e–15

5.647e–01

5.983e–01

3.995e–01

4.102e–01

5.774e–01

5.964e–01

\(nb\_mean\_harmonic\_centrality\)

1.000e+00

1.425e–01

1.754e–01

6.839e–02

7.325e–02

1.677e–01

2.221e–01

\(nb\_min\_harmonic\_centrality\)

1.000e+00

1.348e–01

1.720e–01

6.665e–02

7.481e–02

1.523e–01

2.221e–01

\(nb\_max\_harmonic\_centrality\)

1.000e+00

1.505e–01

1.802e–01

7.232e–02

7.251e–02

1.767e–01

2.221e–01

\(nb\_std\_harmonic\_centrality\)

1.332e–15

1.960e–02

1.792e–02

1.241e–02

1.241e–02

1.909e–02

1.839e–02

\(nb\_mean\_pagerank\)

1.000e+00

2.587e–03

6.013e–02

8.740e–03

4.995e–02

8.351e–04

1.021e–01

\(nb\_min\_pagerank\)

1.000e+00

2.156e–03

6.006e–02

8.771e–03

5.003e–02

2.732e–04

1.021e–01

\(nb\_max\_pagerank\)

1.000e+00

3.318e–03

6.030e–02

8.864e–03

4.975e–02

1.169e–03

1.021e–01

\(nb\_std\_pagerank\)

1.332e–15

1.482e–03

5.014e–04

1.556e–03

8.927e–04

1.017e–03

1.503e–04