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. Author manuscript; available in PMC: 2013 Jan 3.
Published in final edited form as: Biometrics. 2012 Apr 16;68(4):1238–1249. doi: 10.1111/j.1541-0420.2012.01757.x

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%