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 4 The error between simulated coverage probability and nominal coverage probability for the 95% two-sided and 97.5% one-sided confidence intervals when N = 50, 100, and 200

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
50	0.025	−0.0004	− 0.0022	−0.0026	− 0.0188	0.0144	− 0.0044	−0.0221	0.0157	−0.0064
	0.05	−0.0002	−0.0026	− 0.0028	−0.0169	0.0131	−0.0038	− 0.0208	0.0145	− 0.0063
	0.10	0.0007	−0.0018	−0.0011	− 0.0135	0.0104	− 0.0031	−0.0164	0.0120	−0.0044
	0.20	0.0009	−0.0020	−0.0011	− 0.0083	0.0084	0.0001	−0.0105	0.0089	−0.0016
	0.80	−0.0001	−0.0008	− 0.0009	0.0102	− 0.0114	−0.0012	0.0112	−0.0132	− 0.0020
	0.90	0.0020	−0.0017	0.0003	0.0138	−0.0161	−0.0023	0.0146	−0.0189	− 0.0043
	0.95	0.0031	0.0006	0.0037	0.0159	−0.0145	0.0014	0.0161	−0.0183	−0.0022
	0.975	0.0014	−0.0010	0.0004	0.0160	−0.0182	−0.0022	0.0167	−0.0227	− 0.0060
100	0.025	0.0015	−0.0017	−0.0002	− 0.0096	0.0105	0.0009	−0.0119	0.0116	−0.0003
	0.05	0.0007	−0.0030	−0.0023	− 0.0090	0.0091	0.0001	−0.0108	0.0106	−0.0002
	0.10	0.0002	−0.0008	−0.0006	− 0.0106	0.0095	− 0.0011	−0.0128	0.0101	−0.0027
	0.20	−0.0002	0.0035	0.0033	−0.0090	0.0110	0.0020	−0.0104	0.0115	0.0011
	0.80	0.0014	0.0008	0.0022	0.0088	−0.0075	0.0013	0.0092	−0.0094	−0.0002
	0.90	0.0005	0.0000	0.0005	0.0111	−0.0096	0.0015	0.0121	−0.0120	0.0001
	0.95	0.0013	−0.0012	0.0001	0.0115	−0.0143	−0.0028	0.0117	−0.0164	− 0.0047
	0.975	0.0014	−0.0011	0.0003	0.0118	−0.0140	−0.0022	0.0125	−0.0160	− 0.0035
200	0.025	0.0006	−0.0019	−0.0013	− 0.0066	0.0077	0.0011	−0.0084	0.0084	0.0000
	0.05	0.0021	−0.0013	0.0008	−0.0056	0.0075	0.0019	−0.0077	0.0079	0.0002
	0.10	0.0005	0.0023	0.0028	−0.0068	0.0088	0.0020	−0.0079	0.0095	0.0016
	0.20	0.0012	−0.0012	0.0000	−0.0042	0.0047	0.0005	−0.0052	0.0053	0.0001
	0.80	0.0029	−0.0017	0.0012	0.0077	−0.0077	0.0000	0.0080	−0.0095	−0.0015
	0.90	−0.0015	−0.0001	− 0.0016	0.0054	− 0.0070	−0.0016	0.0061	−0.0085	− 0.0024
	0.95	0.0020	−0.0021	−0.0001	0.0100	−0.0089	0.0011	0.0104	−0.0100	0.0004
	0.975	0.0016	0.0003	0.0019	0.0093	−0.0080	0.0013	0.0103	−0.0099	0.0004

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