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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

  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
  1. *** p < 0.001, **p < 0.01, *p < 0.05, SEs in parentheses