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Table 2 Two-level random-intercept logistic regression of final size of epidemics

From: A model for the co-evolution of dynamic social networks and infectious disease dynamics

 

Empty

CIDM

effects

Network

effects

Interaction

effects

Fixed effects (observed effects)

 Intercept

2.27 (0.15)

2.29 (0.08)

2.29 (0.08)

2.59 (0.07)

Main effects

 I. CIDM parameters

  Benefit distance 2 (\(\beta\))

 

0.25 (0.02)

0.25 (0.02)

0.23 (0.02)

  Cost increase for infected ties (\(\mu\))

 

− 4.97 (0.30)

− 5.00 (0.30)

− 5.30 (0.21)

  Disease severity (\(\frac{\sigma }{50}\))

 

− 1.87 (0.17)

− 1.87 (0.17)

− 1.75 (0.11)

  Risk perception (r)

 

− 2.74 (0.18)

− 2.75 (0.18)

− 3.16 (0.13)

  Network size (\(\frac{N}{50}\))

 

5.56 (0.29)

4.66 (0.37)

6.23 (0.38)

 II. Network properties (start of epidemics)

  Density (\({\text{den}}_{\text{start}}\))

  

− 7.68 (1.00)

− 7.33 (0.97)

  Degree of patient-0 (\({\text{deg}}^{0}_{\text{start}}\))

  

3.86 (0.32)

6.46 (0.51)

Interaction effects

 Benefit distance 2 (\(\beta\)) \(\times\) cost increase for infected ties (\(\mu\))

   

0.52 (0.06)

 Cost increase for infected ties (\(\mu\)) \(\times\) disease severity (\(\frac{\sigma }{50}\))

   

3.16 (0.44)

 Cost increase for infected ties (\(\mu\)) \(\times\) risk perception (r)

   

6.40 (0.49)

 Disease severity (\(\frac{\sigma }{50}\)) \(\times\) risk perception (r)

   

− 2.04 (0.27)

 Risk perception (r) \(\times\) network density (\({\text{den}}_{\text{start}}\))

   

9.44 (1.49)

 Network size (\(\frac{N}{50}\)) \(\times\) degree of patient-0 (\({\text{deg}}^{0}_{\text{start}}\))

   

13.80 (2.10)

Random effects (unobserved effects; Intercept)

 \(s^{2}\)

7.33

1.44

1.41

0.47

 Log likelihood (\(\ell\))

− 12,079.15

− 11,814.47

− 11,734.67

− 11,581.32

 Intraclass correlation (\(\rho\))

0.69

0.31

0.30

0.13

 Observations

36000

36000

36000

36000

 Groups: parameter combinations

360

360

360

360

  1. Bold coefficients are significant at \(p<0.001\), others are not significant (\(p>0.05\)), SEs in parentheses