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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
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