Table 3.
Parameter settings | Part I Results for | ||||||
---|---|---|---|---|---|---|---|
Mean and SE | 95% BCa bootstrap ci | ||||||
pgs | m1 | m2 | Mean | Mean after bias correction | Bootstrap SE | Non-coverage % (too low, too high) | Length |
0.0 | 40 | 40 | −0.0009 | −0.0008 | 0.0651 | 5.55 (3.15, 2.40) | 0.2605 |
70 | 70 | −0.0017 | −0.0014 | 0.0698 | 5.17 (2.68, 2.49) | 0.2725 | |
120 | 120 | −0.0021 | −0.0015 | 0.0754 | 5.55 (2.99, 2.56) | 0.2944 | |
0.1 | 40 | 40 | 0.0989 | 0.1000 | 0.0749 | 4.52 (2.28, 2.24) | 0.2957 |
70 | 70 | 0.0996 | 0.1005 | 0.0721 | 5.05 (2.50, 2.55) | 0.2815 | |
120 | 120 | 0.0978 | 0.0986 | 0.0733 | 5.17 (2.93, 2..24) | 0.2861 | |
0.3 | 40 | 40 | 0.2978 | 0.3004 | 0.0824 | 4.78 (2.34, 2.44) | 0.3213 |
70 | 70 | 0.2987 | 0.3003 | 0.0718 | 5.11 (2.43, 2.68) | 0.2798 | |
120 | 120 | 0.2984 | 0.2995 | 0.0672 | 5.14 (2.56, 2.58) | 0.2622 | |
0.5 | 40 | 40 | 0.4977 | 0.5008 | 0.0789 | 4.38 (2.17, 2.21) | 0.3075 |
70 | 70 | 0.4978 | 0.4996 | 0.0655 | 4.80 (2.36, 2.44) | 0.2558 | |
120 | 120 | 0.4982 | 0.4994 | 0.0582 | 5.26 (2.83, 2.43) | 0.2275 | |
0.7 | 40 | 40 | 0.6974 | 0.7001 | 0.0658 | 4.67 (2.43, 2.24) | 0.2587 |
70 | 70 | 0.6988 | 0.7003 | 0.0531 | 4.69 (2.41, 2.28) | 0.2085 | |
120 | 120 | 0.6987 | 0.6997 | 0.0455 | 5.29 (2.51, 2.78) | 0.1786 | |
0.9 | 40 | 40 | 0.8979 | 0.8991 | 0.0391 | 3.78 (2.32, 1.46) | 0.1618 |
70 | 70 | 0.8994 | 0.9001 | 0.0309 | 4.28 (2.43, 1.85) | 0.1253 | |
120 | 120 | 0.8997 | 0.9001 | 0.0259 | 4.62 (2.44, 2.18) | 0.1040 | |
0.95 | 40 | 40 | 0.9495 | 0.9501 | 0.0267 | 5.26 (1.74, 3.52) | 0.1188 |
70 | 70 | 0.9497 | 0.9500 | 0.0215 | 4.02 (2.21, 1.81) | 0.0914 | |
120 | 120 | 0.9498 | 0.9500 | 0.0181 | 4.43 (2.34, 2.09) | 0.0749 | |
0.5 | 100 | 50 | 0.4978 | 0.4994 | 0.0600 | 5.19 (2.60, 2.59) | 0.2342 |
0.5 | 100 | 80 | 0.4982 | 0.4997 | 0.0610 | 5.09 (2.69, 2.40) | 0.2381 |
0.7 | 70 | 40 | 0.6981 | 0.6999 | 0.0551 | 4.97 (2.37, 2.60) | 0.2160 |
0.7 | 80 | 70 | 0.6985 | 0.6999 | 0.0517 | 4.94 (2.71, 2.23) | 0.2030 |
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 | 0.0390 | 2.40 (2.40) | 0.1524 |
70 | 70 | 0 | 0 | 0.0395 | 2.49 (2.49) | 0.1409 | |
120 | 120 | 0 | 0 | 0.0414 | 2.56 (2.56) | 0.1419 | |
0.1 | 40 | 40 | 0.0982 | 0.0992 | 0.0652 | 4.52 (2.28,2.24) | 0.2510 |
70 | 70 | 0.0997 | 0.1007 | 0.0621 | 5.05 (2.50,2.55) | 0.2311 | |
120 | 120 | 0.1002 | 0.1011 | 0.0618 | 5.17 (2.93,2.24) | 0.2249 | |
0.3 | 40 | 40 | 0.2985 | 0.3013 | 0.0821 | 4.78 (2.34,2.44) | 0.3204 |
70 | 70 | 0.2999 | 0.3017 | 0.0716 | 5.11 (2.43,2.68) | 0.2798 | |
120 | 120 | 0.2986 | 0.2997 | 0.0670 | 5.14 (2.56,2.58) | 0.2618 |
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