Table 3.

Power of the tests T_pAUC, T_PCF, T_PNF, T_iPCF, and T_iPNF for two beta-distributed risk models under the assumption of well-calibrated models, R₁ with parameters (α₁,β₁) and R₂ with parameters (α₂,β₂) for q=0.1 for sample size N=1000, with μ=0.3 and

							Power for test based on
	pAUC	PCF	PNF	iPCF	iPNF		PCF	iPCF		PNF	iPNF
p,q	1,2	1,2	1,2	1,2	1,2	pAUC	R	R	(R,Y)	R	R	(R,Y)
(α1,β1)=(0.3,0.7),(α2,β2)=(0.5,1.17)
0.1, 0.9	0.06, 0.04	0.31, 0.29	0.44, 0.53	0.88, 0.84	0.95, 0.96	0.86	0.89	1.00	0.94	1.00	1.00	1.00
0.2, 0.8	0.14, 0.11	0.56, 0.51	0.34, 0.40	0.93, 0.90	0.89, 0.91	0.92	0.99	1.00	0.97	1.00	1.00	0.99
0.3, 0.7	0.23, 0.19	0.75, 0.67	0.27, 0.32	0.97, 0.94	0.82, 0.85	0.90	1.00	1.00	0.91	1.00	1.00	0.96
0.4, 0.6	0.32, 0.28	0.87, 0.80	0.22, 0.25	0.98, 0.97	0.75, 0.77	0.90	1.00	1.00	0.80	1.00	1.00	0.92
(α1,β1)=(6.55,15.3),(α2,β2)=(4.55,10.62)
0.1, 0.9	0.01, 0.01	0.16, 0.17	0.82, 0.80	0.68, 0.70	0.99, 0.99	0.10	0.98	1.00	0.28	1.00	0.99	0.90
0.2, 0.8	0.04, 0.04	0.29, 0.31	0.69, 0.67	0.76, 0.77	0.97, 0.96	0.12	1.00	1.00	0.13	1.00	1.00	0.68
0.3, 0.7	0.08, 0.09	0.42, 0.44	0.58, 0.55	0.82, 0.84	0.93, 0.92	0.24	1.00	1.00	0.27	1.00	1.00	0.61
0.4, 0.6	0.13, 0.15	0.53, 0.55	0.47, 0.45	0.88, 0.89	0.88, 0.87	0.16	1.00	1.00	0.18	1.00	1.00	0.34
(α1,β1)=(6.55,15.3),(α2,β2)=(8.55,19.95)
0.1, 0.9	0.01, 0.01	0.16, 0.15	0.82, 0.83	0.68, 0.67	0.99, 0.99	0.03	0.86	0.98	0.08	0.94	0.91	0.88
0.2, 0.8	0.04, 0.04	0.29, 0.28	0.69, 0.71	0.76, 0.75	0.97, 0.97	0.10	0.96	0.99	0.10	0.97	0.93	0.69
0.3, 0.7	0.08, 0.08	0.42, 0.40	0.58, 0.59	0.82, 0.82	0.93, 0.93	0.11	0.94	0.97	0.14	0.96	0.95	0.46
0.4, 0.6	0.13, 0.13	0.53, 0.51	0.47, 0.49	0.88, 0.87	0.88, 0.89	0.10	0.98	0.99	0.09	0.99	0.99	0.21
(α1,β1)=(1,2.3),(α2,β2)=(1.2,2.8)
0.1, 0.9	0.03, 0.03	0.25, 0.24	0.64, 0.67	0.79, 0.78	0.98, 0.98	0.09	0.41	0.77	0.16	0.81	0.81	0.77
0.2, 0.8	0.08, 0.07	0.43, 0.41	0.50, 0.52	0.86, 0.85	0.93, 0.94	0.12	0.57	0.81	0.21	0.78	0.80	0.59
0.3, 0.7	0.15, 0.14	0.58, 0.56	0.40, 0.42	0.91, 0.90	0.88, 0.88	0.13	0.61	0.78	0.13	0.63	0.79	0.31
0.4, 0.6	0.23, 0.22	0.70, 0.68	0.31, 0.33	0.94, 0.94	0.81, 0.82	0.19	0.70	0.81	0.16	0.66	0.82	0.29
(α1,β1)=(1,2.3),(α2,β2)=(1.3,3.03)
0.1, 0.9	0.03, 0.02	0.25, 0.23	0.64, 0.68	0.79, 0.77	0.98, 0.98	0.24	0.81	0.99	0.31	0.99	0.98	0.89
0.2, 0.8	0.08, 0.07	0.43, 0.41	0.50, 0.54	0.86, 0.84	0.93, 0.94	0.25	0.84	1.00	0.25	1.00	1.00	0.71
0.3, 0.7	0.15, 0.14	0.58, 0.55	0.40, 0.43	0.91, 0.89	0.88, 0.89	0.24	0.89	0.96	0.33	0.93	0.98	0.54
0.4, 0.6	0.23, 0.21	0.70, 0.67	0.31, 0.34	0.94, 0.93	0.81, 0.83	0.30	0.96	0.97	0.25	0.93	0.98	0.42

Estimates are based on 100 simulations for each set of parameter values. Bootstrap variances were based on B=500 replicates.