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. 2018 Sep 27;21(3):400–416. doi: 10.1093/biostatistics/kxy057

Table 2.

Inference results for the four models with maximum likelihood estimate (MLE), 95% confidence intervals (CI), basic reproduction number Inline graphic, 95% confidence interval for Inline graphic, seasonal variability of Inline graphic, coverage of the data by the 95% prediction interval of the full model, (coverage of the data 95% prediction interval only generated by the transmission model), log-likelihood (LL), Akaike information criterion (AIC), and standard error of the Monte Carlo approximations

Model DtSt (LL: Inline graphic371 713, AIC: Inline graphic, coverage: 8.8%)
  Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic    
MLE 12.659 0.237 0.418 0.151 0.037    
CI [12.658, 12.659] [0.237, 0.238] [0.418, 0.419] [0.151, 0.151] [0.036, 0.038]    
Inline graphic = 1.065 (1.065–1.066),   seasonal range: [0.904, 1.226]
Model DtStInline graphic (LL: Inline graphic10 383.05, AIC: Inline graphic, coverage: 96.2%)
  Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic  
MLE 11.718 0.284 0.477 0.129 0.067 0.221  
CI [11.474, 11.956] [0.270, 0.298] [0.454, 0.503] [0.125, 0.133] [0.034, 0.100] [0.205, 0.238]  
Inline graphic = 1.052 (1.021–1.083),   seasonal range: [0.916, 1.188]
Model StStInline graphic (LL: Inline graphic (s.e. 1.94), AIC: Inline graphic, coverage: 90.6% [only transmission model: 28.9%])
  Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic  
MLE 11.198 0.266 0.450 0.142 0.075 0.150  
CI [10.889, 11.326] [0.267, 0.289] [0.435, 0.474] [0.138, 0.146] [0.040, 0.109] [0.143, 0.164]  
Inline graphic = 1.000 (0.981–1.031),  seasonal range: [0.859, 1.142]
Model StInline graphicStInline graphic (LL: Inline graphic (s.e. 0.25), AIC: Inline graphic, coverage: 96.5% [only transmission model: 93.7%] )
  Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
MLE 11.298 0.267 0.433 0.148 0.085 0.111 0.091
CI [11.131, 11.531] [0.259, 0.278] [0.415, 0.449] [0.136, 0.158] [0.006, 0.165] [0.114, 0.127] [0.080, 0.106]
Inline graphic = 1.004 (0.986–1.027),   seasonal range: [0.855, 1.152]