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Table 3 Two-level random-intercept linear regression of duration 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

20.66 (0.20)

20.66 (0.17)

20.66 (0.16)

21.23 (0.19)

Main effects

 I. CIDM parameters

  Benefit distance 2 (\(\beta\))

 

0.36 (0.06)

0.36 (0.05)

0.36 (0.04)

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

 

− 3.40 (0.66)

− 3.42 (0.63)

− 3.42 (0.44)

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

 

− 1.82 (0.39)

− 1.81 (0.38)

− 1.81 (0.26)

  Risk perception (r)

 

− 2.80 (0.41)

− 2.81 (0.39)

− 2.81 (0.27)

  Network size (\(\frac{N}{50}\))

 

2.05 (0.59)

− 3.20 (0.70)

− 0.11 (1.15)

 II. Network properties (start of epidemics)

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

  

− 26.87 (1.96)

− 19.93 (3.20)

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

  

3.30 (0.62)

3.31 (0.62)

Interaction effects

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

   

1.05 (0.15)

 Benefit distance 2 (\(\beta\)) \(\times\) network size (\(\frac{N}{50}\))

   

− 1.06 (0.13)

 Cost increase for infected ties (\(\mu\)) \(\times\) density (\({\text{den}}_{\text{start}}\))

   

− 38.17 (5.00)

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

   

− 4.16 (0.64)

 Disease severity (\(\frac{\sigma }{50}\)) \(\times\) network size (\(\frac{N}{50}\))

   

6.48 (0.93)

 Risk perception (r) \(\times\) network size (\(\frac{N}{50}\))

   

8.20 (0.96)

 Network size (\(\frac{N}{50}\)) \(\times\) network density (\({\text{den}}_{\text{start}}\))

   

32.97 (9.35)

Random effects (unobserved effects)

 \(s^{2}\)

13.66

9.58

8.63

3.96

 Log likelihood (\(\ell\))

− 113,544.27

− 113,481.97

− 113,388.50

− 113,274.74

 Intraclass correlation (\(\rho\))

0.31

0.24

0.22

0.11

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