Table 2.
Parameter settings | Part I Results for | ||||||
---|---|---|---|---|---|---|---|
pgs | m1 | m2 | Mean and SE | 95% BCa bootstrap ci | |||
Mean | Mean after bias correction | Bootstrap SE | Non-coverage % (too low, too high) | Length | |||
0.0 | 40 | 40 | −0.0016 | −0.0014 | 0.0643 | 5.34 (3.04, 2.30) | 0.2584 |
70 | 70 | −0.0028 | −0.0022 | 0.0685 | 5.45 (2.88, 2.57) | 0.2680 | |
120 | 120 | −0.0030 | −0.0024 | 0.0733 | 5.38 (3.11, 2.27) | 0.2862 | |
0.1 | 40 | 40 | 0.0986 | 0.0998 | 0.0743 | 4.53 (2.28, 2.25) | 0.2942 |
70 | 70 | 0.0987 | 0.0995 | 0.0712 | 4.93 (2.53, 2.40) | 0.2781 | |
120 | 120 | 0.0970 | 0.0978 | 0.0717 | 4.92 (2.80, 2.12) | 0.2797 | |
0.3 | 40 | 40 | 0.2976 | 0.3002 | 0.0821 | 4.73 (2.16, 2.57) | 0.3205 |
70 | 70 | 0.2981 | 0.2997 | 0.0713 | 5.29 (2.55, 2.74) | 0.2780 | |
120 | 120 | 0.2978 | 0.2989 | 0.0661 | 5.08 (2.58, 2.50) | 0.2582 | |
0.5 | 40 | 40 | 0.4976 | 0.5007 | 0.0788 | 4.30 (2.17, 2.13) | 0.3070 |
70 | 70 | 0.4974 | 0.4993 | 0.0653 | 4.72 (2.30, 2.42) | 0.2548 | |
120 | 120 | 0.4977 | 0.4989 | 0.0576 | 4.99 (2.68, 2.31) | 0.2250 | |
0.7 | 40 | 40 | 0.6973 | 0.7000 | 0.0658 | 4.76 (2.47, 2.29) | 0.2586 |
70 | 70 | 0.6987 | 0.7003 | 0.0529 | 4.76 (2.41, 2.35) | 0.2078 | |
120 | 120 | 0.6984 | 0.6993 | 0.0451 | 5.38 (2.73, 2.65) | 0.1770 | |
0.9 | 40 | 40 | 0.8978 | 0.8990 | 0.0391 | 3.83 (2.18, 1.65) | 0.1613 |
70 | 70 | 0.8994 | 0.9001 | 0.0309 | 4.29 (2.36, 1.93) | 0.1250 | |
120 | 120 | 0.8996 | 0.9000 | 0.0258 | 4.65 (2.36, 2.29) | 0.1032 | |
0.95 | 40 | 40 | 0.9495 | 0.9501 | 0.0267 | 5.16 (1.59, 3.57) | 0.1173 |
70 | 70 | 0.9497 | 0.9500 | 0.0215 | 4.63 (2.22, 2.41) | 0.0907 | |
120 | 120 | 0.9498 | 0.9500 | 0.0180 | 4.37 (2.30, 2.07) | 0.0742 | |
0.5 | 100 | 50 | 0.4975 | 0.4991 | 0.0599 | 5.03 (2.56, 2.47) | 0.2336 |
0.5 | 100 | 80 | 0.4979 | 0.4993 | 0.0606 | 5.03 (2.65, 2.38) | 0.2367 |
0.7 | 70 | 40 | 0.6979 | 0.6998 | 0.0551 | 4.81 (2.17, 2.64) | 0.2157 |
0.7 | 80 | 70 | 0.6983 | 0.6998 | 0.0515 | 5.21 (2.83, 2.38) | 0.2021 |
Part II Results for truncated | |||||||
---|---|---|---|---|---|---|---|
Median and SE | 95% BCa bootstrap ci | ||||||
Median | Median after bias correction | Bootstrap SE | Non-coverage % (too low, too high) | Length | |||
0.0 | 40 | 40 | 0 | 0 | 0.0386 | 2.30 (2.30) | 0.1522 |
70 | 70 | 0 | 0 | 0.0374 | 2.57 (2.57) | 0.1396 | |
120 | 120 | 0 | 0 | 0.0403 | 2.27 (2.27) | 0.1387 | |
0.1 | 40 | 40 | 0.0980 | 0.0992 | 0.0649 | 4.53 (2.28, 2.25) | 0.2511 |
70 | 70 | 0.0987 | 0.0998 | 0.0616 | 4.93 (2.53, 2.40) | 0.2297 | |
120 | 120 | 0.0985 | 0.0997 | 0.0609 | 4.92 (2.80, 2.12) | 0.2223 | |
0.3 | 40 | 40 | 0.2985 | 0.3012 | 0.0818 | 4.73 (2.16, 2.57) | 0.3197 |
70 | 70 | 0.2990 | 0.3006 | 0.0712 | 5.29 (2.55, 2.74) | 0.2776 | |
120 | 120 | 0.2974 | 0.2989 | 0.0660 | 5.08 (2.58, 2.50) | 0.2579 |
Part I shows mean, mean after bias correction, mean of the bootstrap standard error, non-coverage percentage of 95% BCa bootstrap confidence intervals (with left and right non-coverage percentages), and mean length of the interval. Part II shows, for pgs ≤ 0.3, the same type of results as part I, but for truncated at zero. Instead of means, medians are given. At pgs = 0.0, only non-coverage at the right of pgs = 0.0 is considered