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Table S6 Mean value of network summary statistics for five hiring models vs. the empirical values for History. Mean values of the three network summary statistics—eigenvector centrality, harmonic centrality, and normalized mean geodesic distance—for networks produced by each of the five hiring models vs. the corresponding values of the empirical History network. Boldface values are close to the empirical value. Uncertainty indicates the average absolute distance between predicted and empirical value. For this comparison, parameter combinations achieving the closest structural inequality are applied when \(\beta = 1.0\) (Table S4). Two initializations (Init.) of Egalitarian (E) and Skewed (S) are used. Dashed line represents the Ranking and Local homophily model are unable to reproduce realistic structural inequalities. All values are rounded to the second digit

From: The dynamics of faculty hiring networks

Hiring Model

Init.

Eigenvector centrality (log) (Empirical, −5.32)

Harmonic centrality (Empirical, 0.38)

Geodesic distance (Empirical, 0.27)

Faculty production

E

\(\mathbf{-5.35 \pm 2.38}\)

\(\mathbf{0.38 \pm 0.09}\)

0.29 ± 0.15

S

−5.38 ± 2.39

0.37 ± 0.09

0.29 ± 0.15

Local homophily

E

S

−44.37 ± 39.06

0.12 ± 0.28

\(\mathbf{0.27 \pm 0.13}\)

Ranking

E

S

Rank-weighted production

E

−2.06 ± 3.31

0.49 ± 0.13

0.46 ± 0.21

S

−2.08 ± 3.3

0.49 ± 0.13

0.46 ± 0.2

Rank-weighted homophily

E

−2.28 ± 3.09

0.38 ± 0.15

0.45 ± 0.2

S

−2.26 ± 3.1

0.38 ± 0.15

0.44 ± 0.19