Table 4 Coverage probabilities, for a nominal 95% level, of four methods to estimate confidence intervals for male gametic immigration estimates: standard bootstrap (S-Boot), simple percentile bootstrap (SP-Boot), accelerated bias-corrected percentile bootstrap (ABC-Boot) and profile-likelihood (P-Likelihood) method (Manly, 1997; Coles, 2001)
n | m | S-Boot | SP-Boot | ABC-Boot | P-Likelihood | ||||
---|---|---|---|---|---|---|---|---|---|
LLTH | ULTL | LLTH | ULTL | LLTH | ULTL | LLTH | ULTL | ||
20 | 0 | 0.02 | 0 | 0.02 | 0 | 0.32 | 0 | 0.04 | 0 |
0.05 | 0.05 | 33.49 | 0.04 | 32.60 | 0.92 | 31.99 | 2.03 | 0 | |
0.10 | 0.19 | 33.63 | 0.40 | 23.61 | 2.98 | 20.42 | 1.97 | 0 | |
0.15 | 0.51 | 28.02 | 0.77 | 19.19 | 3.20 | 12.85 | 2.35 | 0 | |
0.20 | 0.55 | 22.30 | 0.82 | 15.91 | 3.17 | 8.46 | 2.12 | 1.90 | |
0.40 | 1.00 | 9.69 | 1.69 | 6.89 | 3.25 | 3.98 | 2.60 | 4.24 | |
0.80 | 2.84 | 4.08 | 3.63 | 3.35 | 5.34 | 3.35 | 3.03 | 2.82 | |
1 | 1.17 | 2.22 | 5.89 | 1.92 | 7.26 | 2.95 | 0 | 2.37 | |
40 | 0 | 0 | 0 | 0 | 0 | 34.95 | 0 | 0 | 0 |
0.05 | 0.08 | 37.76 | 0.22 | 31.69 | 7.77 | 16.78 | 2.15 | 0 | |
0.10 | 0.45 | 25.30 | 0.63 | 19.73 | 4.00 | 11.20 | 2.23 | 0.36 | |
0.15 | 0.54 | 15.54 | 0.84 | 11.69 | 4.26 | 6.30 | 2.38 | 5.28 | |
0.20 | 0.93 | 11.12 | 1.24 | 7.73 | 4.26 | 3.58 | 2.48 | 4.72 | |
0.40 | 1.72 | 5.74 | 2.08 | 4.56 | 4.38 | 3.02 | 2.61 | 2.90 | |
0.80 | 2.73 | 2.98 | 3.70 | 2.61 | 4.27 | 4.18 | 3.20 | 2.38 | |
1 | 0 | 1.55 | 0 | 1.54 | 0 | 3.50 | 0 | 2.09 | |
138 | 0 | 0 | 0 | 0 | 0 | 4.44 | 3.81 | 2.31 | 3.02 |
0.05 | 0.32 | 14.85 | 0.63 | 14.27 | 4.67 | 4.26 | 2.38 | 2.74 | |
0.10 | 0.76 | 8.55 | 1.10 | 6.70 | 4.69 | 4.59 | 2.37 | 2.36 | |
0.15 | 1.00 | 6.49 | 1.34 | 5.12 | 4.20 | 4.82 | 2.60 | 2.36 | |
0.20 | 1.28 | 5.45 | 1.52 | 4.44 | 0 | 4.57 | 0 | 2.22 | |
0.40 | 1.78 | 3.68 | 1.97 | 3.35 | 0.23 | 0 | 0 | 0 | |
0.80 | 2.52 | 2.52 | 2.83 | 2.52 | 4.65 | 3.65 | 2.19 | 2.72 | |
1 | 0 | 1.69 | 0 | 1.82 | 4.94 | 4.25 | 2.48 | 2.25 | |
440 | 0 | 0 | 0 | 0 | 0 | 4.95 | 4.89 | 2.20 | 2.43 |
0.05 | 0.69 | 7.39 | 1.02 | 5.65 | 4.95 | 4.92 | 2.18 | 2.48 | |
0.10 | 1.30 | 4.60 | 1.64 | 3.93 | 4.72 | 4.77 | 2.32 | 2.13 | |
0.15 | 1.40 | 4.47 | 1.62 | 3.80 | 4.78 | 5.30 | 2.57 | 2.76 | |
0.20 | 1.56 | 3.82 | 1.74 | 3.46 | 0 | 4.95 | 0 | 2.30 | |
0.40 | 2.00 | 2.93 | 2.17 | 2.66 | 4.44 | 3.81 | 2.31 | 3.02 | |
0.80 | 2.81 | 2.88 | 2.63 | 2.98 | 4.67 | 4.26 | 2.38 | 2.74 | |
1 | 0 | 1.95 | 0 | 2.16 | 4.69 | 4.59 | 2.37 | 2.36 |