The appropriateness of Bland-Altman’s approximate confidence intervals for limits of agreement

Shieh, Gwowen

doi:10.1186/s12874-018-0505-y

BMC Medical Research Methodology

Table 3 The error between simulated coverage probability and nominal coverage probability for the 95% two-sided and 97.5% one-sided when N = 10, 20, and 30

From: The appropriateness of Bland-Altman’s approximate confidence intervals for limits of agreement

		Exact approach			Chakraborti and Li [24]			Bland and Altman [2]
N	p	Upper	Lower	Two-sided	Upper	Lower	Two-sided	Upper	Lower	Two-sided
N	p	97.5% CI	97.5% CI	95% CI	97.5% CI	97.5% CI	95% CI	97.5% CI	97.5% CI	95% CI
10	0.025	0.0017	0.0010	0.0027	− 0.0350	0.0247	− 0.0103	−0.0464	0.0247	−0.0217
	0.05	0.0012	0.0008	0.0020	−0.0328	0.0246	−0.0082	−0.0440	0.0246	−0.0194
	0.10	−0.0001	0.0016	0.0015	−0.0308	0.0239	−0.0069	−0.0405	0.0239	−0.0166
	0.20	0.0014	−0.0012	0.0002	−0.0231	0.0200	−0.0031	−0.0275	0.0203	−0.0072
	0.80	−0.0002	−0.0009	− 0.0011	0.0192	− 0.0234	−0.0042	0.0195	−0.0288	− 0.0093
	0.90	0.0018	−0.0005	0.0013	0.0231	−0.0282	−0.0051	0.0231	−0.0384	− 0.0153
	0.95	0.0009	0.0011	0.0020	0.0245	−0.0341	−0.0096	0.0245	−0.0481	− 0.0236
	0.975	−0.0015	0.0023	0.0008	0.0246	−0.0335	−0.0089	0.0246	−0.0487	− 0.0241
20	0.025	0.0031	−0.0007	0.0024	−0.0221	0.0215	−0.0006	−0.0296	0.0216	−0.0080
	0.05	0.0027	−0.0006	0.0021	−0.0213	0.0207	−0.0006	−0.0276	0.0213	−0.0063
	0.10	−0.0016	−0.0013	− 0.0029	−0.0237	0.0192	−0.0045	− 0.0294	0.0198	− 0.0096
	0.20	−0.0008	−0.0004	− 0.0012	−0.0166	0.0153	−0.0013	− 0.0208	0.0157	− 0.0051
	0.80	0.0007	0.0016	0.0023	0.0168	−0.0161	0.0007	0.0177	−0.0206	−0.0029
	0.90	0.0020	−0.0002	0.0018	0.0188	−0.0245	−0.0057	0.0189	−0.0300	− 0.0111
	0.95	0.0016	0.0003	0.0019	0.0222	−0.0256	−0.0034	0.0223	−0.0324	− 0.0101
	0.975	−0.0021	−0.0013	− 0.0034	0.0216	− 0.0287	−0.0071	0.0220	−0.0372	− 0.0152
30	0.025	0.0023	−0.0019	0.0004	−0.0215	0.0179	−0.0036	−0.0254	0.0183	−0.0071
	0.05	0.0024	−0.0025	−0.0001	− 0.0200	0.0162	− 0.0038	−0.0245	0.0172	−0.0073
	0.10	−0.0011	0.0014	0.0003	−0.0206	0.0164	−0.0042	−0.0256	0.0170	−0.0086
	0.20	0.0018	−0.0017	0.0001	−0.0131	0.0131	0.0000	−0.0161	0.0136	−0.0025
	0.80	0.0016	0.0001	0.0017	0.0142	−0.0156	−0.0014	0.0150	−0.0196	− 0.0046
	0.90	0.0018	−0.0003	0.0015	0.0166	−0.0205	−0.0039	0.0170	−0.0256	− 0.0086
	0.95	0.0006	0.0014	0.0020	0.0198	−0.0181	0.0017	0.0201	−0.0230	−0.0029
	0.975	−0.0017	0.0004	−0.0013	0.0194	−0.0214	−0.0020	0.0199	−0.0265	− 0.0066

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