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Table 2 Impact of vaccination status and vaccine strain on the estimation of HI-related protection:

From: Relationship between haemagglutination-inhibiting antibody titres and clinical protection against influenza: development and application of a bayesian random-effects model

Model name$ ALL STRAIN ALL_V VAC HOB
Number of subjects 5899 5899 4162 4162 1032
Number of flu cases 1304 1304 782 782 383
Parameter Estimates*      
μ a [95% CI] 2.844 [2.25;3.36] 2.964 [2.27;3.53] 2.344 [1.49;3.14] 2.615 [1.63;3.56] 3.385 [1.53;5.27]
σ a [95% CI] 0.845 [0.44;1.41] 0.85 [0.42;1.43] 0.944 [0.33;1.69] 1.06 [0.37;2] 1.415 [0.28;5.37]
μ b [95% CI] 1.299 [1;1.69] 1.404 [1.04;1.91] 1.061 [0.77;1.48] 1.205 [0.81;1.69] 2.102 [-0.27;6.36]
σ b [95% CI] 0.376 [0.1;0.76] 0.386 [0.07;0.81] 0.275 [0.05;0.66] 0.206 [0.01;0.62] 2.102 [0.19;11.93]
αc [95% CI]   -0.467 [-1.72;0.81]   -1.04 [-2.93;0.7]  
β c [95% CI]   -0.305 [-1.06;0.42]   -0.377 [-0.98;0.23]  
E[λ i] [95% CI] 0.482 [0.41;0.57] 0.481 [0.41;0.57] 0.497 [0.39;0.61] 0.531 [0.41;0.67] 0.726 [0.64;0.81]
E[μ i] [95% CI] 3.116 [2.93;3.26] 3.117 [2.94;3.26] 3.129 [2.91;3.3] 3.13 [2.91;3.3] 3.157 [2.96;3.35]
E[σ i] [95% CI] 0.752 [0.69;0.82] 0.752 [0.69;0.82] 0.775 [0.71;0.85] 0.773 [0.71;0.85] 0.181 [0.16;0.21]
DIC 4667.0 4667.0 3074.0 3077.0 964.2
  1. $. ALL: All datasets and no covariate, STRAIN: All datasets + 1 covariate for virus strain (reference category: type A virus), ALL_V: datasets with information on vaccination status, VAC: datasets with information on vaccination status + 1 covariate for vaccination status (reference category: vaccinated), HOB: data reported in Hobson et al. [5], no covariate
  2. * Reported values for each parameter: posterior mean value and 95% credible interval