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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

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
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