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. 2018 Apr 18;20(3):485–498. doi: 10.1093/biostatistics/kxy013

Table 2.

Nested case–control study simulation results showing convergence with increasing sample size, iterations = 1000, perturbations = 500, Inline graphic = 0.1, and Inline graphic = Inline graphic1.0

Nested case–control, iterations = 1000, perturbations = 500, Inline graphic = 0.1, Inline graphic = Inline graphic1.0
  Sampled from n = 500, s = 48, Inline graphic = 24, Inline graphic = 58/27/11
  True Est Bias % SEInline graphic SEInline graphic CP %
PE 0.168 0.171 1.6 0.021 0.021 95.5
TPF(0.4) 0.936 0.929 0.7 0.044 0.046 91.2
FPF(0.3) 0.777 0.767 1.2 0.107 0.105 91.2
AUC 0.813 0.780 4.1 0.050 0.055 95.2
PCF(0.2) 0.297 0.306 2.8 0.026 0.032 98.0
PNF(0.8) 0.640 0.650 1.6 0.051 0.055 94.1
  Sampled from n = 4000, s = 48, Inline graphic = 24, Inline graphic = 462/219/85
PE 0.168 0.169 0.6 0.007 0.007 96.4
TPF(0.4) 0.936 0.935 0.1 0.015 0.015 94.1
FPF(0.3) 0.777 0.777 0.0 0.037 0.037 94.2
AUC 0.813 0.806 0.8 0.017 0.017 95.7
PCF(0.2) 0.297 0.298 0.2 0.009 0.009 94.8
PNF(0.8) 0.640 0.642 0.3 0.017 0.018 94.6

PE = prediction error; TPF(0.4) = true positive fraction at Inline graphic; FPF(0.3) = false positive fraction at Inline graphic; AUC = area under the ROC curve; PCF(0.2) = the proportion of events in Inline graphic timeframe from Inline graphic captured if 20% of the population at risk at time Inline graphic were followed; PNF(0.8) = the proportion of the population at risk at time Inline graphic that would need to be followed in order to capture 80% of the events in the timeframe Inline graphic from Inline graphic. Effective sample sizes used to estimate the performance measures are summarized in the table as Inline graphic, where Inline graphic denotes the number of events observed in a Inline graphic timeframe from Inline graphic, Inline graphic denotes the number of subjects still at risk at time Inline graphic and Inline graphic is the number of subjects who were censored between Inline graphic and Inline graphic.