Table 2.

The error between simulated coverage probability and nominal coverage probability for the 90% two-sided and 95% one-sided confidence intervals when N = 50, 100, and 200

		Exact approach			Chakraborti and Li [24]			Bland and Altman [2]
N	p	Upper	Lower	Two-sided	Upper	Lower	Two-sided	Upper	Lower	Two-sided
		95% CI	95% CI	90% CI	95% CI	95% CI	90% CI	95% CI	95% CI	90% CI
50	0.025	− 0.0010	− 0.0026	− 0.0036	− 0.0185	0.0193	0.0008	− 0.0237	0.0214	− 0.0023
	0.05	−0.0017	− 0.0031	− 0.0048	− 0.0193	0.0172	− 0.0021	− 0.0238	0.0197	− 0.0041
	0.10	− 0.0007	− 0.0033	− 0.0040	− 0.0165	0.0158	− 0.0007	− 0.0217	0.0179	− 0.0038
	0.20	0.0022	−0.0020	0.0002	− 0.0124	0.0136	0.0012	− 0.0156	0.0161	0.0005
	0.80	0.0006	−0.0006	0.0000	0.0160	− 0.0140	0.0020	0.0179	−0.0173	0.0006
	0.90	0.0002	−0.0015	− 0.0013	0.0198	−0.0183	0.0015	0.0225	−0.0229	−0.0004
	0.95	0.0006	0.0013	0.0019	0.0221	−0.0179	0.0042	0.0246	−0.0222	0.0024
	0.975	0.0013	−0.0025	−0.0012	0.0221	−0.0233	− 0.0012	0.0254	− 0.0299	− 0.0045
100	0.025	0.0027	−0.0012	0.0015	−0.0105	0.0137	0.0032	−0.0138	0.0157	0.0019
	0.05	0.0038	−0.0009	0.0029	−0.0116	0.0112	−0.0004	−0.0152	0.0135	−0.0017
	0.10	−0.0017	−0.0026	− 0.0043	− 0.0153	0.0120	−0.0033	− 0.0182	0.0132	− 0.0050
	0.20	−0.0018	0.0035	0.0017	−0.0116	0.0134	0.0018	−0.0130	0.0147	0.0017
	0.80	0.0050	0.0007	0.0057	0.0126	−0.0094	0.0032	0.0145	− 0.0114	0.0031
	0.90	0.0016	0.0007	0.0023	0.0141	−0.0093	0.0048	0.0158	−0.0124	0.0034
	0.95	0.0028	−0.0033	− 0.0005	0.0162	− 0.0165	− 0.0003	0.0177	− 0.0199	− 0.0022
	0.975	0.0015	−0.0031	− 0.0016	0.0161	−0.0182	− 0.0021	0.0183	− 0.0224	− 0.0041
200	0.025	−0.0005	− 0.0015	− 0.0020	− 0.0094	0.0090	−0.0004	− 0.0123	0.0098	− 0.0025
	0.05	0.0002	−0.0023	−0.0021	− 0.0086	0.0068	− 0.0018	− 0.0118	0.0093	−0.0025
	0.10	0.0000	0.0016	0.0016	− 0.0095	0.0116	0.0021	−0.0115	0.0134	0.0019
	0.20	0.0023	−0.0002	0.0021	−0.0059	0.0074	0.0015	−0.0072	0.0083	0.0011
	0.80	0.0018	−0.0056	− 0.0038	0.0089	− 0.0122	− 0.0033	0.0106	− 0.0141	− 0.0035
	0.90	−0.0002	0.0002	0.0000	0.0087	−0.0099	− 0.0012	0.0102	− 0.0124	− 0.0022
	0.95	0.0024	−0.0006	0.0018	0.0117	−0.0111	0.0006	0.0131	−0.0137	−0.0006
	0.975	0.0017	−0.0001	0.0016	0.0120	−0.0096	0.0024	0.0131	−0.0127	0.0004