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 |