Table 3.
Performance of the MCEM algorithms: mean estimates, standard deviations (SD) and 95% CI coverages are based on 500 simulated 30-day epidemics among 100 households each of size 5, with b = 0.01, p = 0.05, α = 0.2, φ = 0.3 and θ = 0.5. θ is assumed known. Burn-in and final numbers of importance samples are K0 = 200 and K = 1000.
| Assumed value of θ | Parameter | True Value |
ξ = 0.25
|
ξ = 0.5
|
ξ = 0.75
|
||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Mean | x SD | 95% CI Coverage | Mean | x SD | 95% CI Coverage | Mean | x SD | 95% CI Coverage | |||
| Traditional MCEM (J = 2) | |||||||||||
| 0.5 | b | 0.01 | 0.010 | 0.0015 | 94.8% | 0.010 | 0.0015 | 94.4% | 0.010 | 0.0016 | 95.6% |
| p | 0.05 | 0.050 | 0.0098 | 94.6% | 0.050 | 0.010 | 95.2% | 0.050 | 0.011 | 95.6% | |
| φ | 0.70 | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | |
| α | 0.20 | 0.20 | 0.020 | 94.0% | 0.20 | 0.024 | 94.8% | 0.20 | 0.034 | 95.8% | |
| OR | 0.60 | 0.61 | 0.11 | 94.8% | 0.61 | 0.12 | 95.4% | 0.61 | 0.12 | 95.2% | |
|
| |||||||||||
| Hybrid EM-MCEM (J = 1000) | |||||||||||
| 0.5 | b | 0.01 | 0.010 | 0.0015 | 94.8% | 0.010 | 0.0015 | 94.4% | 0.010 | 0.0016 | 95.6% |
| p | 0.05 | 0.050 | 0.0098 | 94.6% | 0.050 | 0.010 | 95.2% | 0.050 | 0.011 | 96.0% | |
| φ | 0.70 | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | |
| α | 0.20 | 0.20 | 0.020 | 93.8% | 0.20 | 0.024 | 95.2% | 0.20 | 0.033 | 95.4% | |
| OR | 0.60 | 0.61 | 0.11 | 94.8% | 0.61 | 0.12 | 95.4% | 0.61 | 0.12 | 95.2% | |
| 0 | b | 0.01 | 0.011 | 0.0015 | 91.4% | 0.011 | 0.0016 | 92.2% | 0.011 | 0.0016 | 92.6% |
| p | 0.05 | 0.055 | 0.011 | 92.6% | 0.055 | 0.011 | 93.2% | 0.055 | 0.012 | 92.8% | |
| φ | 0.70 | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | |
| α | 0.20 | 0.20 | 0.020 | 94.0% | 0.20 | 0.024 | 95.8% | 0.20 | 0.033 | 95.6% | |
| OR | 0.60 | 0.61 | 0.11 | 95.0% | 0.61 | 0.12 | 95.4% | 0.61 | 0.12 | 95.0% | |
| 1 | b | 0.01 | 0.0099 | 0.0015 | 95.2% | 0.0099 | 0.0015 | 95.6% | 0.010 | 0.0016 | 95.4% |
| p | 0.05 | 0.044 | 0.0085 | 91.0% | 0.044 | 0.0087 | 90.2% | 0.044 | 0.0091 | 92.4% | |
| φ | 0.70 | 0.70 | 0.041 | 93.4% | 0.30 | 0.041 | 93.4% | 0.70 | 0.041 | 93.4% | |
| α | 0.20 | 0.20 | 0.020 | 94.0% | 0.20 | 0.024 | 95.2% | 0.20 | 0.033 | 95.4% | |
| OR | 0.60 | 0.61 | 0.11 | 95.0% | 0.61 | 0.12 | 95.4% | 0.61 | 0.12 | 95.2% | |