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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

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
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