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Table 6 Comparison of two-level random-intercept logistic regression models for final size of the epidemic 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 2.59*** (0.07) 0.05 (0.04) 1.46*** (0.11) 2.40*** (0.16) 3.17*** (0.19) 4.75*** (0.27)
Main effects
   I. CIDM parameters
  Benefit distance 2 (\(\beta\)) 0.23*** (0.02) 0.23*** (0.01) 0.25*** (0.03) 0.27*** (0.04) 0.26*** (0.04) 0.20*** (0.04)
  Cost increase for infected ties (\(\mu\)) − 5.30*** (0.21) − 4.89*** (0.17) − 5.85*** (0.42) − 6.71*** (0.62) − 6.53*** (0.76) − 4.44*** (0.94)
  Disease severity (\(\frac{\sigma }{50}\)) − 1.75*** (0.11) − 1.86*** (0.10) − 1.91*** (0.23) − 2.50*** (0.30) − 2.11*** (0.31) − 1.59*** (0.35)
  Risk perception (r) − 3.16*** (0.13) − 2.51*** (0.11) − 3.16*** (0.26) − 3.76*** (0.36) − 4.28*** (0.43) − 3.57*** (0.51)
  Network size (\(\frac{N}{50}\)) 6.22*** (0.40)      
 II. Network properties (start of epidemics)
  Density (\({\text{den}}_{\text{start}}\)) − 7.35*** (0.98) − 4.16** (1.27) − 11.91*** (2.36) − 10.00** (3.44) − 13.64** (5.24) − 5.72 (20.02)
  Degree of patient-0 (\({\text{deg}}^{0}_{\text{start}}\)) 6.46*** (0.54) 2.73*** (0.45) 5.79*** (0.67) 2.88*** (0.82) 6.40*** (1.07) 17.29*** (3.33)
Interaction effects
 \(\beta\) x \(\mu\) 0.52*** (0.06) 0.46*** (0.05) 0.48*** (0.13) 0.54*** (0.16) 0.50** (0.16) 0.30 (0.16)
 \(\mu\) x \(\frac{\sigma }{50}\) 3.16*** (0.44) 1.74*** (0.40) 3.80*** (0.92) 4.70*** (1.18) 3.99** (1.21) 2.39* (1.17)
 \(\mu\) x r 6.41*** (0.49) 4.33*** (0.42) 7.60*** (1.04) 8.34*** (1.44) 9.60*** (1.71) 7.24*** (1.91)
 \(\frac{\sigma }{50}\) x r − 2.04*** (0.27) − 3.14*** (0.27) − 1.93*** (0.57) − 1.65* (0.69) − 1.88** (0.73) − 0.74 (0.71)
 r x \({\text{den}}_{\text{start}}\) 9.39*** (1.52) − 5.29 (3.03) 13.86* (5.38) 21.26* (8.43) 23.66 (13.10) 32.70 (37.99)
 \(\frac{N}{50}\) x \({\text{deg}}^{0}_{\text{start}}\) 13.79*** (2.30)      
Random effects (unobserved effects)
 \(s^{2}\) 0.47 0.02 0.44 0.57 0.52 0.25
  Log likelihood (\(\ell\)) − 11,581.31 − 3092.16 − 2717.52 − 2507.48 − 2277.77 − 926.14
 Intraclass correlation (\(\rho\)) 0.125 0.007 0.118 0.149 0.136 0.072
 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