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Table 2 Alonso et al. [21] dataset with dicothomized outcome. Results of logistic, Firth and WIP model by number of events in Control nC and number of events in Vaccinated group (nV)

From: Assessing correlates of protection in vaccine trials: statistical solutions in the context of high vaccine efficacy

n C n V Logistic Firth WIP
   \(\hat \beta \) \(\hat Var(\hat \beta)\) \(\hat \beta \) \(\hat Var(\hat \beta)\) \(\hat \beta \) \(\hat Var(\hat \beta)\)
0 0 0.00 2.33e+09 0.00 1.15 0.00 1.28
1 0 -9.18 7.85e+06 -0.60 0.79 -0.59 0.65
2 0 -9.59 7.85e+06 -0.91 0.72 -0.90 0.58
3 0 -9.36 2.89e+06 -1.14 0.69 -1.15 0.57
4 0 -9.58 2.89e+06 -1.34 0.68 -1.37 0.58
5 0 -9.78 2.89e+06 -1.52 0.68 -1.59 0.61
6 0 -9.99 2.89e+06 -1.71 0.68 -1.80 0.64
7 0 -10.21 2.89e+06 -1.90 0.69 -2.04 0.69
8 0 -10.98 7.85e+06 -2.13 0.72 -2.33 0.77
9 0 -11.38 7.85e+06 -2.45 0.79 -2.73 0.92
10 0 -25.57 2.33e+09 -3.04 1.15 -3.84 1.91
1 1 0.00 5.60e-01 0.00 0.42 0.00 0.35
3 1 -0.67 4.00e-01 -0.54 0.33 -0.49 0.26
9 2 -1.79 4.30e-01 -1.53 0.35 -1.51 0.30
2 3 0.27 2.80e-01 0.23 0.26 0.21 0.21