Table 1.

The error between simulated coverage probability and nominal coverage probability for the 90% two-sided and 95% one-sided confidence intervals when N = 10, 20, and 30

		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
10	0.025	− 0.0003	0.0013	0.0010	− 0.0418	0.0447	0.0029	− 0.0604	0.0455	− 0.0149
	0.05	0.0014	0.0011	0.0025	− 0.0396	0.0436	0.0040	− 0.0541	0.0442	− 0.0099
	0.10	− 0.0005	0.0024	0.0019	−0.0368	0.0407	0.0039	− 0.0511	0.0418	− 0.0093
	0.20	0.0012	−0.0024	−0.0012	− 0.0269	0.0313	0.0044	−0.0361	0.0328	−0.0033
	0.80	0.0021	0.0006	0.0027	0.0303	−0.0282	0.0021	0.0319	−0.0370	− 0.0051
	0.90	0.0013	0.0036	0.0049	0.0392	−0.0384	0.0008	0.0404	−0.0519	− 0.0115
	0.95	0.0017	0.0001	0.0018	0.0428	−0.0414	0.0014	0.0435	−0.0593	− 0.0158
	0.975	−0.0048	0.0031	−0.0017	0.0434	−0.0435	− 0.0001	0.0440	− 0.0617	− 0.0177
20	0.025	0.0041	0.0041	0.0082	−0.0274	0.0331	0.0057	−0.0398	0.0348	−0.0050
	0.05	0.0035	0.0029	0.0064	−0.0254	0.0327	0.0073	−0.0362	0.0342	−0.0020
	0.10	−0.0018	−0.0030	− 0.0048	− 0.0257	0.0272	0.0015	− 0.0364	0.0292	− 0.0072
	0.20	0.0005	− 0.0015	− 0.0010	− 0.0217	0.0228	0.0011	−0.0276	0.0244	−0.0032
	0.80	0.0021	0.0015	0.0036	0.0241	−0.0201	0.0040	0.0256	−0.0257	− 0.0001
	0.90	0.0019	−0.0022	− 0.0003	0.0314	−0.0282	0.0032	0.0329	−0.0382	− 0.0053
	0.95	0.0027	− 0.0007	0.0020	0.0345	−0.0324	0.0021	0.0364	−0.0415	− 0.0051
	0.975	− 0.0055	− 0.0027	− 0.0082	0.0323	− 0.0347	− 0.0024	0.0342	−0.0467	− 0.0125
30	0.025	0.0014	−0.0008	0.0006	−0.0210	0.0262	0.0052	−0.0285	0.0278	−0.0007
	0.05	0.0010	−0.0027	− 0.0017	− 0.0208	0.0238	0.0030	− 0.0271	0.0263	− 0.0008
	0.10	−0.0035	0.0016	−0.0019	− 0.0261	0.0255	−0.0006	− 0.0341	0.0272	− 0.0069
	0.20	0.0007	−0.0040	− 0.0033	− 0.0184	0.0152	− 0.0032	− 0.0231	0.0174	− 0.0057
	0.80	0.0019	− 0.0046	−0.0027	0.0208	−0.0216	− 0.0008	0.0225	− 0.0253	− 0.0028
	0.90	0.0028	−0.0033	−0.0005	0.0259	−0.0256	0.0003	0.0277	−0.0319	−0.0042
	0.95	0.0031	0.0030	0.0061	0.0264	−0.0204	0.0060	0.0289	−0.0284	0.0005
	0.975	0.0019	0.0003	0.0022	0.0268	−0.0260	0.0008	0.0291	−0.0339	−0.0048