Table 6 Comparison of two-level random-intercept logistic regression models for final size of the epidemic by network size

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