Table 7 Comparison of two-level random-intercept linear regression models for duration of epidemics by network size
From: A model for the co-evolution of dynamic social networks and infectious disease dynamics
| Â | Combined | N=10 | N=15 | N=20 | N=25 | N=50 |
|---|---|---|---|---|---|---|
Fixed effects (observed effects) | ||||||
 Intercept | 21.23*** (0.19) | 18.41*** (0.29) | 20.43*** (0.23) | 21.48*** (0.18) | 22.00*** (0.16) | 20.97*** (0.08) |
Main effects | ||||||
 I. CIDM parameters | ||||||
  Benefit distance 2 (\(\beta\)) | 0.36*** (0.04) | 0.59*** (0.10) | 0.71*** (0.08) | 0.45*** (0.06) | 0.19*** (0.05) | − 0.16*** (0.03) |
  Cost increase for infected ties (\(\mu\)) | − 3.42*** (0.44) | − 10.68*** (1.15) | − 6.26*** (0.94) | − 2.83*** (0.73) | 0.11 (0.65) | 2.58*** (0.31) |
  Disease severity (\(\frac{\sigma }{50}\)) | − 1.81*** (0.26) | − 3.64*** (0.68) | − 3.08*** (0.56) | − 2.42*** (0.44) | − 1.38*** (0.39) | 1.50*** (0.19) |
  Risk perception (r) | − 2.81*** (0.27) | − 5.06*** (0.70) | − 4.35*** (0.57) | − 3.62*** (0.45) | − 2.46*** (0.40) | 1.45*** (0.19) |
  Network size (\(\frac{N}{50}\)) | − 0.11 (1.15) |  |  |  |  |  |
 II. Network properties (start of epidemics) | ||||||
  Density (\({\text{den}}_{\text{start}}\)) | − 19.93*** (3.20) | − 22.55*** (2.81) | − 33.53*** (4.87) | − 25.41*** (6.60) | − 18.31* (8.19) | − 41.03*** (11.45) |
  Degree of patient-0 (\({\text{deg}}^{0}_{\text{start}}\)) | 3.31*** (0.62) | 2.24* (0.98) | 7.35*** (1.38) | 1.71 (1.66) | 2.57 (1.88) | − 1.67 (2.11) |
Interaction effects | ||||||
 \(\beta\) x \(\mu\) | 1.05*** (0.15) | 1.71*** (0.38) | 2.01*** (0.31) | 1.45*** (0.24) | 0.56** (0.22) | − 0.47*** (0.10) |
 \(\beta\) x N | − 1.06*** (0.13) |  |  |  |  |  |
 \(\mu\) x \(den_{start}\) | − 38.17*** (5.00) | 2.64 (10.54) | − 1.11 (18.65) | 30.21 (25.49) | 31.33 (31.70) | − 27.52 (45.03) |
 \(\frac{\sigma }{50}\) x r | − 4.16*** (0.64) | − 6.74*** (1.67) | − 6.84*** (1.37) | − 6.38*** (1.07) | − 3.98*** (0.95) | 3.12*** (0.45) |
 \(\frac{\sigma }{50}\) x N | 6.48*** (0.93) |  |  |  |  |  |
 r x N | 8.20*** (0.96) |  |  |  |  |  |
 \(\frac{N}{50}\) x \({\text{den}}_{\text{start}}\) | 32.97*** (9.35) |  |  |  |  |  |
Random effects (unobserved effects) | ||||||
 \(s^{2}\) | 3.96 | 5.59 | 3.57 | 2.05 | 1.60 | 0.30 |
 Log likelihood (\(\ell\)) | − 113,274.74 | − 23,109.20 | − 23,355.84 | − 23,203.31 | − 22,761.55 | − 19,558.51 |
 Intraclass correlation (\(\rho\)) | 0.114 | 0.138 | 0.087 | 0.054 | 0.048 | 0.022 |
 Observations | 36,000 | 7200 | 7200 | 7200 | 7200 | 7200 |
 Groups: parameter combinations | 360 | 72 | 72 | 72 | 72 | 72 |