Table 2.

Performance of AUC estimation using MI methods as well as case deletion under MAR, MCAR and MNAR.

			% miss.		Case deletion			Joint imputation				Sequential imputation				Re-sampling (bootstrap)
MM	TV	CD(SE)	Y*	Y	CR	AW	RMSE	AUC(SE)	CR	AW	RMSE	AUC(SE)	CR	AW	RMSE	AUC(SE)	CR	AW	RMSE
Scenario 13:{n = 300 πY* = 0.25 σY = 20}
MAR	0.64	0.62 (0.04)	0.30		0.82	0.12	0.04	0.65 (0.05)	0.93	0.20	0.04	0.64 (0.06)	0.88	0.25	0.06	0.63 (0.06)	0.96	0.23	0.04
MCAR	0.64	0.64 (0.05)	0.30	0.30	0.75	0.12	0.04	0.64 (0.05)	0.91	0.21	0.04	0.64 (0.06)	0.95	0.25	0.04	0.64 (0.06)	0.97	0.24	0.04
MNAR	0.64	0.60 (0.05)	0.36	0.30	0.75	0.15	0.06	0.65 (0.05)	0.84	0.22	0.07	0.64 (0.10)	0.98	0.50	0.06	0.62 (0.07)	0.94	0.31	0.06
Scenario 14:{n = 300 πY* = 0.25 σY = 20}
MAR	0.76	0.71 (0.04)	0.42		0.24	0.07	0.06	0.77 (0.04)	0.93	0.17	0.03	0.75 (0.05)	0.81	0.22	0.07	0.75 (0.05)	0.96	0.23	0.04
MCAR	0.76	0.76 (0.04)	0.30	0.30	0.41	0.05	0.03	0.75 (0.05)	0.93	0.19	0.03	0.76 (0.05)	0.96	0.21	0.04	0.76 (0.05)	0.96	0.22	0.03
MNAR	0.76	0.72 (0.04)	0.22	0.30	0.28	0.07	0.05	0.75 (0.05)	0.91	0.18	0.04	0.71 (0.09)	0.97	0.44	0.08	0.75 (0.05)	0.95	0.22	0.04
Scenario 15:{n = 300 πY* = 0.50 σY = 20}
MAR	0.75	0.71 (0.04)	0.35		0.25	0.07	0.05	0.78 (0.03)	0.84	0.13	0.04	0.74 (0.04)	0.80	0.18	0.06	0.75 (0.04)	0.96	0.18	0.03
MCAR	0.75	0.76 (0.04)	0.30	0.30	0.44	0.05	0.03	0.76 (0.04)	0.90	0.15	0.03	0.76 (0.04)	0.94	0.17	0.03	0.76 (0.04)	0.95	0.18	0.03
MNAR	0.76	0.72 (0.04)	0.17	0.30	0.27	0.06	0.05	0.75 (0.04)	0.85	0.14	0.04	0.70 (0.07)	0.94	0.37	0.08	0.75 (0.04)	0.92	0.19	0.04
Scenario 16:{n = 300 πY* = 0.25 σY = 20}
MAR	0.85	0.80 (0.04)	0.54		0.04	0.03	0.07	0.86 (0.04)	0.95	0.15	0.03	0.83 (0.04)	0.66	0.18	0.08	0.84 (0.05)	0.98	0.21	0.03
MCAR	0.85	0.85 (0.03)	0.30	0.30	0.15	0.02	0.03	0.85 (0.04)	0.96	0.16	0.02	0.85 (0.04)	0.95	0.16	0.03	0.85 (0.04)	0.97	0.17	0.03
MNAR	0.85	0.81 (0.03)	0.23	0.30	0.09	0.03	0.05	0.85 (0.04)	0.95	0.15	0.03	0.76 (0.10)	0.95	0.52	0.12	0.85 (0.04)	0.97	0.17	0.03
Scenario 17:{n = 300 πY* = 0.50 σY = 20}
MAR	0.86	0.80 (0.04)	0.43		0.05	0.03	0.07	0.87 (0.03)	0.81	0.10	0.03	0.830 (0.04)	0.70	0.15	0.07	0.85 (0.04)	0.96	0.16	0.03
MCAR	0.86	0.86 (0.03)	0.30	0.30	0.19	0.01	0.02	0.85 (0.03)	0.92	0.12	0.02	0.85 (0.03)	0.94	0.13	0.02	0.85 (0.03)	0.96	0.14	0.02
MNAR	0.86	0.81 (0.03)	0.16	0.30	0.08	0.03	0.05	0.85 (0.03)	0.88	0.11	0.02	0.78 (0.08)	0.93	0.38	0.10	0.85 (0.03)	0.94	0.14	0.02

Notes: MM (missingness mechanism), TV (true value), CD (case deletion), SE (standard error), CR (coverage rate), AW (average width of confidence intervals), RMSE (root-mean-square error). CR and AW are based on 95% nominal confidence rate. CD(SE) column contains AUC estimate and estimate of its standard error under case deletion.