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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
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