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. Author manuscript; available in PMC: 2021 Nov 26.
Published in final edited form as: Biom J. 2019 Aug 8;62(3):764–776. doi: 10.1002/bimj.201800240

TABLE 4.

Proportion of rejections of the null hypothesis H0: NB1(t) = NB2(t) based on 500 simulations for comparing estimates of NB for two risk models evaluated on the same validation data, when NB(t) is estimated, using observed risks R in a population assuming that the model is well-calibrated; using risk estimates from a case–control sample when the disease prevalence μ is known; and using observations of (R, Y) in the population

Proportion rejected H0 for
(α1, β1) (α2, β2) AUC 1 AUC 2 t TR TCC TRY
(6.55,124.45) (6.55,124.45) 0.61 0.61 0.02 0.050 0.036 0.034
0.03 0.046 0.054 0.054
0.04 0.054 0.044 0.042
0.05 0.044 0.062 0.070
0.06 0.052 0.052 0.050
(6.55,124.45) (4,76) 0.61 0.64 0.02 0.150 0.108 0.116
0.03 0.906 0.176 0.218
0.04 1.000 0.192 0.266
0.05 1.000 0.240 0.272
0.06 1.000 0.208 0.234
(6.55,124.45) (3,57) 0.61 0.66 0.02 0.418 0.286 0.306
0.03 1.000 0.442 0.524
0.04 1.000 0.570 0.648
0.05 1.000 0.560 0.640
0.06 1.000 0.424 0.522
(6.55,124.45) (2,38) 0.61 0.69 0.02 0.946 0.684 0.69
0.03 1 0.882 0.932
0.04 1 0.934 0.974
0.05 1 0.924 0.978
0.06 1 0.872 0.944

Note. Results are based on data sets with N = 10, 000 and 500 simulations for each set of parameters and values of threshold t. For the case–control design, three controls were sampled for each case.