Table 2.
Performance of old and new likelihood calculations for several combinations of N, μ, and s.
Default Method |
New Method |
|||||
Population size (N) | θ | Ns | MPE | Fraction containing true value | MPE | Fraction containing true value |
500 | 0.01 | 0 | 470 (93) | 0.98 | 537 (185) | 0.87 |
500 | 0.01 | 10 | 317 (65) | 0.14 | 475 (192) | 0.96 |
500 | 0.05 | 20 | 187 (38) | 0.0 | 387 (116) | 0.94 |
1000 | 0.01 | 0 | 980 (233) | 0.95 | 1088 (343) | 0.87 |
1000 | 0.01 | 10 | 647 (137) | 0.2 | 1019 (356) | 0.97 |
1000 | 0.025 | 20 | 486 (104) | 0.0 | 922 (280) | 0.95 |
1000 | 0.05 | 25 | 365 (68) | 0.0 | 804 (225) | 0.9 |
2500 | 0.025 | 0 | 2578 (515) | 0.95 | 2880 (830) | 0.87 |
2500 | 0.025 | 10 | 1270 (283) | 0.0 | 2443 (884) | 0.96 |
2500 | 0.025 | 25 | 1315 (243) | 0.0 | 1902 (701) | 1 |
5000 | 0.05 | 10 | 2635 (557) | 0.0 | 5055 (1711) | 0.97 |
5000 | 0.025 | 25 | 2467 (501) | 0.0 | 4221 (1481) | 0.98 |
MPE, Maximum a posteriori estimate. Fraction containing true value indicates the fraction of data sets in which the 95% CPD contained the true population size.