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. 2020 Feb 4;15(2):e0228077. doi: 10.1371/journal.pone.0228077

Table 3. Factors by which the expected margin of error for a 90% confidence interval (95% one-sided confidence limit) is overestimated or underestimated for select sample sizes (m).

Test Paired test for level change 2-sample test for level change
ρ type m = 4 8 12 100 2m = 8 16 24 200
-0.33 serial 2.33 1.25 1.14 1.01 1.46 1.18 1.11 1.01
usual 1.66 1.49 1.46 1.41 1.50 1.44 1.43 1.41
0.00 serial 2.00 1.21 1.09 1.00 1.19 1.05 1.03 1.00
usual 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
0.33 serial 1.22 1.11 1.04 1.00 0.80 0.89 0.92 0.99
usual 0.43 0.59 0.64 0.70 0.57 0.65 0.67 0.71
0.67 serial 0.11 0.55 0.78 0.98 0.24 0.52 0.66 0.96
usual 0.03 0.17 0.26 0.42 0.15 0.29 0.34 0.43
Test Paired test for rate change 2-sample test for rate change
ρ type m = 5 8 12 100 2m = 10 16 24 200
-0.33 serial 1.14 1.09 1.05 1.00 1.06 1.06 1.04 1.00
usual 1.55 1.44 1.41 1.41 1.40 1.38 1.38 1.40
0.00 serial 0.85 0.96 0.97 0.99 0.83 0.91 0.94 0.99
usual 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00
0.33 serial 0.45 0.71 0.83 0.98 0.55 0.71 0.80 0.97
usual 0.47 0.60 0.65 0.70 0.62 0.67 0.69 0.71
0.67 serial 0.04 0.23 0.45 0.94 0.17 0.37 0.51 0.93
usual 0.04 0.16 0.26 0.43 0.18 0.31 0.36 0.43