Table 5.

Confidence interval simulation on t₊^*. CI coverage probability and width on t₊^* by the five methods (N, TN, EMP, KS and KS-SJ) based on 500 simulated datasets and 500 bootstrap samples.

Scenario	# of Obs	20	20	20	20	50	50	50	50	100	100	100	100	200	200	200	200
	Youden	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	Coverage Prob.
	N-delta	0.924	0.922	0.932	0.922	0.936	0.94	0.934	0.934	0.942	0.944	0.948	0.944	0.948	0.942	0.944	0.95
	N	0.93	0.926	0.908	0.894	0.922	0.948	0.928	0.922	0.938	0.944	0.942	0.934	0.936	0.93	0.942	0.942
	TN	0.916	0.93	0.93	0.918	0.942	0.948	0.928	0.934	0.936	0.942	0.952	0.938	0.932	0.938	0.942	0.944
	EMP	0.904	0.912	0.926	0.912	0.892	0.912	0.92	0.934	0.854	0.908	0.918	0.928	0.858	0.88	0.888	0.916
	KS	0.942	0.944	0.944	0.904	0.96	0.936	0.948	0.94	0.936	0.95	0.95	0.944	0.946	0.95	0.964	0.958
	KS-SJ	0.932	0.934	0.928	0.908	0.958	0.942	0.948	0.942	0.938	0.944	0.954	0.946	0.944	0.948	0.958	0.958
	Coverage Width
	N-delta	1.2991	0.8869	0.8312	1.1987	0.7953	0.5528	0.5260	0.7604	0.5547	0.3872	0.3702	0.5368	0.3907	0.2725	0.2610	0.3792
	N	1.2123	0.8723	0.8381	1.1931	0.7704	0.5473	0.5271	0.7519	0.5411	0.3810	0.3665	0.5275	0.3862	0.2697	0.2593	0.3739
	TN	1.3441	1.0216	0.9233	1.2836	0.9068	0.6977	0.6098	0.8007	0.6359	0.4886	0.4241	0.5532	0.4378	0.3308	0.2895	0.3885
	EMP	1.4494	1.1249	1.0136	1.3439	0.8559	0.6164	0.5908	0.8160	0.5253	0.3859	0.3811	0.5426	0.3507	0.2568	0.2486	0.3607
	KS	1.9313	1.3681	1.1570	1.3668	1.3315	0.9001	0.7734	0.8998	0.9771	0.6589	0.5658	0.6528	0.7208	0.4860	0.4127	0.4852
	KS-SJ	1.9497	1.4512	1.2294	1.4462	1.4019	0.9869	0.8502	0.9751	1.0418	0.7356	0.6258	0.7128	0.7800	0.5379	0.4520	0.5279
Log-Normal	Coverage Prob.
	N-delta	0.362	0.25	0.42	0.656	0.04	0.018	0.118	0.616	0.002	0	0.02	0.606	0	0	0	0.566
	N	0.77	0.662	0.798	0.774	0.26	0.142	0.414	0.874	0.03	0.006	0.102	0.902	0	0	0	0.886
	TN	0.928	0.934	0.926	0.906	0.938	0.95	0.936	0.924	0.932	0.946	0.948	0.936	0.934	0.94	0.946	0.94
	EMP	0.83	0.686	0.746	0.758	0.584	0.512	0.514	0.768	0.464	0.446	0.432	0.674	0.372	0.31	0.354	0.546
	KS	0.936	0.88	0.85	0.764	0.944	0.852	0.782	0.862	0.916	0.806	0.716	0.878	0.918	0.78	0.648	0.874
	KS-SJ	0.932	0.894	0.878	0.694	0.944	0.922	0.882	0.794	0.93	0.93	0.922	0.856	0.926	0.924	0.9	0.904
	Coverage Width
	N-delta	0.3890	0.3602	0.3767	0.4104	0.2310	0.2299	0.2411	0.2594	0.1614	0.1630	0.1707	0.1830	0.1144	0.1160	0.1213	0.1297
	N	0.6028	0.5633	0.5791	0.6222	0.4045	0.4081	0.4284	0.4597	0.3003	0.3092	0.3240	0.3477	0.2324	0.2382	0.2495	0.2674
	TN	0.7330	0.5650	0.5182	0.6606	0.4523	0.3648	0.3372	0.4085	0.3082	0.2575	0.2378	0.2833	0.2164	0.1837	0.1687	0.2000
	EMP	1.0834	0.5405	0.5097	0.5773	0.4275	0.4086	0.3571	0.3567	0.3413	0.3289	0.2846	0.2207	0.2545	0.2146	0.1900	0.1275
	KS	0.8672	0.7114	0.6539	0.6439	0.5991	0.5024	0.4913	0.4773	0.4495	0.3828	0.3788	0.3821	0.3441	0.2798	0.2872	0.3218
	KS-SJ	0.8648	0.7091	0.6394	0.6329	0.6616	0.5272	0.4856	0.4466	0.5328	0.4150	0.3827	0.3497	0.4253	0.3232	0.2901	0.2972
Gamma	Coverage Prob.
	N-delta	0.468	0.45	0.668	0.684	0.076	0.084	0.404	0.664	0.006	0	0.19	0.6	0	0	0.044	0.534
	N	0.75	0.724	0.882	0.694	0.21	0.28	0.712	0.754	0.008	0.032	0.482	0.744	0	0	0.136	0.726
	TN	0.918	0.922	0.916	0.948	0.942	0.936	0.936	0.944	0.94	0.932	0.954	0.952	0.936	0.91	0.93	0.934
	EMP	0.91	0.846	0.874	0.752	0.826	0.72	0.736	0.746	0.79	0.666	0.652	0.654	0.848	0.722	0.572	0.628
	KS	0.936	0.924	0.908	0.71	0.908	0.896	0.89	0.844	0.9	0.904	0.856	0.906	0.902	0.906	0.84	0.91
	KS-SJ	0.932	0.932	0.908	0.666	0.934	0.956	0.936	0.8	0.928	0.962	0.932	0.828	0.934	0.952	0.942	0.898
	Coverage Width
	N-delta	0.1341	0.1183	0.1422	0.1977	0.0777	0.0757	0.0917	0.1258	0.0539	0.0536	0.0650	0.0888	0.0378	0.0379	0.0460	0.0628
	N	0.1518	0.1500	0.1858	0.2550	0.0950	0.1045	0.1324	0.1823	0.0670	0.0776	0.0992	0.1369	0.0479	0.0560	0.0715	0.0993
	TN	0.1769	0.1536	0.1743	0.3846	0.1121	0.1028	0.1143	0.2119	0.0757	0.0682	0.0769	0.1409	0.0525	0.0469	0.0533	0.0984
	EMP	0.2106	0.1745	0.1812	0.2541	0.1580	0.1301	0.1199	0.1608	0.1289	0.1019	0.0922	0.1085	0.1143	0.0886	0.0753	0.0727
	KS	0.2346	0.2090	0.2259	0.2704	0.1624	0.1469	0.1644	0.2174	0.1180	0.1085	0.1217	0.1810	0.0912	0.0808	0.0916	0.1499
	KS-SJ	0.2346	0.2135	0.2224	0.2592	0.1763	0.1586	0.1665	0.1980	0.1366	0.1215	0.1270	0.1623	0.1095	0.0943	0.1001	0.1415