Table 2.

Point estimate simulation on J^*. Bias and RMSE on the optimal Youden index (J^*) estimation from five methods (N, TN, EMP, KS, KS-SJ) based on 1000 simulated datasets.

Scenario	# obs	20				50				100				200
	J	0.5	0.6	0.7	0.8	0.5	0.6	0.7	0.8	0.5	0.6	0.7	0.8	0.5	0.6	0.7	0.8
Normal	Bias
	N	0.00547	0.00409	0.00265	0.00068	0.00256	0.00151	0.00047	−0.00037	0.00070	0.00033	−0.00006	−0.00046	−0.00016	−0.00025	−0.00031	−0.00024
	TN	0.00478	0.00389	0.00214	−0.00122	0.00267	0.00226	0.00112	−0.00066	0.00144	0.00137	0.00093	0.00005	0.00039	0.00041	0.00034	0.00018
	EMP	0.02178	0.02038	0.02213	0.02038	0.00928	0.00887	0.00814	0.00683	0.00481	0.00408	0.00386	0.00350	0.00244	0.00223	0.00222	0.00210
	KS	−0.02854	−0.03879	−0.04268	−0.03111	−0.02955	−0.03710	−0.03981	−0.02935	−0.02648	−0.03218	−0.03363	−0.02441	−0.02242	−0.02656	−0.02746	−0.01988
	KS-SJ	−0.02399	−0.03419	−0.03814	−0.02766	−0.02769	−0.03526	−0.03812	−0.02823	−0.02547	−0.03133	−0.03287	−0.02388	−0.02184	−0.02603	−0.02701	−0.01960
	RMSE
	N	0.06392	0.06294	0.05868	0.05048	0.04190	0.04104	0.03812	0.03253	0.02970	0.02909	0.02693	0.02292	0.02068	0.02015	0.01856	0.01580
	TN	0.06485	0.06386	0.05979	0.05209	0.04236	0.04151	0.03857	0.03322	0.03035	0.02967	0.02742	0.02329	0.02093	0.02036	0.01871	0.01592
	EMP	0.08457	0.08133	0.07500	0.06210	0.05593	0.05362	0.04961	0.04062	0.04028	0.03812	0.03485	0.02901	0.02837	0.02681	0.02420	0.02041
	KS	0.07250	0.07749	0.07664	0.06225	0.05359	0.05806	0.05803	0.04578	0.04207	0.04553	0.04501	0.03482	0.03227	0.03489	0.03451	0.02657
	KS-SJ	0.07225	0.07652	0.07522	0.06141	0.05305	0.05731	0.05729	0.04526	0.04215	0.04557	0.04498	0.03481	0.03236	0.03496	0.03455	0.02662
Log- Normal	Bias
	N	0.09082	0.06199	0.01187	−0.05147	0.09178	0.05494	−0.00088	−0.06736	0.09076	0.05128	−0.00628	−0.07370	0.08937	0.04821	−0.01039	−0.07831
	TN	0.00370	0.00422	0.00378	0.00141	0.00247	0.00221	0.00148	0.00015	0.00049	0.00054	0.00034	−0.00022	−0.00028	−0.00023	−0.00017	−0.00017
	EMP	0.01990	0.01858	0.01768	0.01865	0.00797	0.00481	0.00525	0.00599	0.00349	0.00175	0.00146	0.00344	0.00073	0.00048	0.00009	0.00111
	KS	0.00843	−0.00222	−0.02557	−0.05953	0.00454	−0.00442	−0.02710	−0.05881	0.00229	−0.00414	−0.02389	−0.05280	0.00119	−0.00292	−0.01979	−0.04616
	KS-SJ	0.00717	0.00122	−0.01440	−0.04123	0.00290	−0.00038	−0.01305	−0.03585	0.00019	−0.00104	−0.00999	−0.02866	−0.00091	−0.00092	−0.00696	−0.02194
	RMSE
	N	0.11239	0.08060	0.04833	0.07049	0.10085	0.06394	0.03171	0.07553	0.09552	0.05676	0.02553	0.07852	0.09181	0.05140	0.02147	0.08105
	TN	0.06586	0.06470	0.05984	0.05052	0.04304	0.04216	0.03890	0.03262	0.03056	0.02992	0.02757	0.02301	0.02125	0.02072	0.01894	0.01577
	EMP	0.08223	0.08307	0.07532	0.06393	0.05364	0.05278	0.04918	0.04080	0.03887	0.03821	0.03525	0.02866	0.02782	0.02692	0.02442	0.02011
	KS	0.06822	0.06060	0.05950	0.07806	0.04555	0.04020	0.04461	0.06740	0.03376	0.03006	0.03540	0.05782	0.02387	0.02145	0.02713	0.04911
	KS-SJ	0.06941	0.06373	0.05717	0.06496	0.04587	0.04248	0.03889	0.04827	0.03404	0.03161	0.02908	0.03697	0.02439	0.02272	0.02075	0.02751
Gamma	Bias
	N	0.06135	0.06186	0.04176	0.00064	0.05785	0.05770	0.03654	−0.00459	0.05577	0.05565	0.03447	−0.00630	0.05507	0.05488	0.03356	−0.00720
	TN	0.00833	0.00577	0.00357	0.00110	0.00729	0.00718	0.00623	0.00308	0.00553	0.00586	0.00540	0.00301	0.00451	0.00500	0.00471	0.00256
	EMP	0.03405	0.02305	0.02128	0.01893	0.01534	0.01033	0.01019	0.00956	0.01028	0.00822	0.00761	0.00520	0.00361	0.00204	0.00205	0.00279
	KS	0.00025	−0.00667	−0.01712	−0.03429	−0.00562	−0.01109	−0.01994	−0.03442	−0.00626	−0.01049	−0.01798	−0.03060	−0.00590	−0.00895	−0.01498	−0.02601
	KS-SJ	0.00503	−0.00102	−0.00879	−0.02390	−0.00047	−0.00467	−0.01025	−0.02204	−0.00091	−0.00383	−0.00830	−0.01782	−0.00121	−0.00309	−0.00635	−0.01382
	RMSE
	N	0.08931	0.08240	0.06197	0.04202	0.07131	0.06708	0.04675	0.02770	0.06336	0.06086	0.04039	0.02067	0.05873	0.05735	0.03647	0.01523
	TN	0.06364	0.06490	0.06149	0.05161	0.04025	0.04068	0.03849	0.03260	0.02848	0.02873	0.02719	0.02318	0.01974	0.01987	0.01869	0.01570
	EMP	0.07826	0.07619	0.07332	0.06164	0.05146	0.05022	0.04830	0.03943	0.03750	0.03596	0.03430	0.02913	0.02614	0.02523	0.02327	0.01989
	KS	0.06019	0.05855	0.05613	0.05884	0.04041	0.04031	0.04115	0.04689	0.02993	0.03036	0.03197	0.03860	0.02201	0.02191	0.02362	0.03057
	KS-SJ	0.06092	0.05880	0.05454	0.05361	0.04077	0.03975	0.03772	0.03848	0.02962	0.02910	0.02800	0.02946	0.02194	0.02089	0.01983	0.02135