TABLE 2.

Estimation and inference results under the second simulation setting. Specificity ${\varphi }_0(\mathit{z})$ under controlled sensitivity level ${\rho }_0$ at the covariate selection $\mathit{z}=(0.5,0.5{)}^T$ by our proposed method and two existing methods^9,11 are estimated and presented.

$n_1=n_0$	Proposed method				Pepe (1998)				Faraggi (2003)
	Bias	SD	SE	LCov	Bias	SD	SE	LCov	Bias	SD	SE	LCov
${\rho }_0=0.95$
100	136	1025	1073	93.5	468	1000	932	91.1	130	695	654	91.1
200	63	658	734	95.7	242	672	644	93.4	68	475	456	92.7
500	−16	401	432	96.7	88	406	389	94.1	21	294	282	93.3
1000	−40	281	297	95.9	49	280	275	94.2	13	206	200	93.5
5000	−50	125	128	94.0	8	126	122	93.4	2	91.7	89	93.3
${\rho }_0=0.90$
100	87	1377	1495	97.4	389	1300	1180	92.6	76	1030	944	91.3
200	37	957	1039	97.1	210	915	861	93.5	46	727	686	92.8
500	−42	622	642	95.5	68	578	557	94.2	8	457	439	93.1
1000	−55	432	449	95.3	42	409	394	94.2	9	322	313	93.5
5000	−60	193	196	94.0	9	184	178	93.3	1	145	141	93.0
${\rho }_0=0.85$
100	90	1395	1514	97.8	244	1270	1160	92.8	9	1060	959	91.5
200	54	976	1045	96.7	135	911	857	93.5	15	746	701	92.9
500	11	625	652	95.5	48	577	558	94.1	−6	468	451	93.1
1000	11	440	454	95.5	27	407	398	94.4	3	330	321	93.1
5000	8	195	200	95.0	3	187	179	93.6	0	149	144	93.3
${\rho }_0=0.80$
100	78	1206	1328	98.2	139	1100	1010	93.4	−33	931	844	91.9
200	82	845	909	96.6	87	801	750	93.4	−7	656	614	93.0
500	58	540	562	95.4	22	504	483	93.8	−13	410	395	93.1
1000	63	381	393	94.9	16	353	346	94.1	−1	289	281	93.2
5000	63	170	171	93.3	3	160	156	93.8	−1	131	126	93.1

Bias, $(\widehat{\varphi }-{\varphi }_0)\times {10}^4$; SD, standard deviation ×10⁴; SE, standard error estimated using bootstrap ×10⁴; LCov (%), coverage rates of logit transformation-based 95% confidence interval.