TABLE 2.
The estimated posterior means (Mean) and modes (Mode) of the recombination fractions (θ1, … , θ7), under the simulated marker order, from the Bayesian analysis of data sets 8-F, 8-M, 1-F, and 1-M
Recombination fractions
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Data set | Implementation | 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
8-F | MCMC | True | 0.15 | 0.11 | 0.12 | 0.07 | 0.09 | 0.04 | 0.11 |
Mean | 0.15 (6.3) | 0.11 (3.8) | 0.12 (4.2) | 0.08 (2.5) | 0.09 (2.8) | 0.04 (1.7) | 0.11 (3.5) | ||
CRI-MAP | Mode | 0.15 (6.4) | 0.11 (3.8) | 0.12 (4.2) | 0.07 (2.5) | 0.09 (2.9) | 0.04 (1.6) | 0.11 (3.6) | |
MLE | 0.13 (6.9) | 0.10 (3.4) | 0.11 (4.3) | 0.07 (2.0) | 0.08 (2.8) | 0.04 (1.3) | 0.10 (3.5) | ||
8-M | MCMC | True | 0.15 | 0.11 | 0.12 | 0.07 | 0.09 | 0.04 | 0.11 |
Mean | 0.16 (15.9) | 0.12 (8.2) | 0.13 (8.6) | 0.08 (5.4) | 0.10 (5.3) | 0.05 (3.7) | 0.11 (6.5) | ||
CRI-MAP | Mode | 0.16 (13.5) | 0.11 (7.5) | 0.13 (7.9) | 0.08 (5.0) | 0.09 (5.0) | 0.04 (3.4) | 0.11 (6.2) | |
MLE | 0.12 (23.9) | 0.08 (13.2) | 0.10 (14.5) | 0.06 (7.5) | 0.07 (10.1) | 0.03 (4.7) | 0.08 (11.9) | ||
1-F | MCMC | True | 0.02 | 0.01 | 0.01 | 0.01 | 0.01 | 0.00 | 0.01 |
Mean | 0.02 (0.7) | 0.01 (0.4) | 0.02 (0.5) | 0.01 (0.3) | 0.01 (0.4) | 0.01 (0.2) | 0.01 (0.4) | ||
CRI-MAP | Mode | 0.02 (0.7) | 0.01 (0.4) | 0.01 (0.5) | 0.01 (0.2) | 0.01 (0.3) | 0.00 (0.1) | 0.01 (0.3) | |
MLE | 0.02 (0.6) | 0.01 (0.3) | 0.01 (0.4) | 0.01 (0.2) | 0.01 (0.3) | 0.00 (0.1) | 0.01 (0.4) | ||
1-M | MCMC | True | 0.02 | 0.01 | 0.01 | 0.01 | 0.01 | 0.00 | 0.01 |
Mean | 0.02 (1.7) | 0.02 (1.1) | 0.02 (3.1) | 0.01 (2.5) | 0.02 (9.4) | 0.01 (1.3) | 0.02 (0.7) | ||
CRI-MAP | Mode | 0.01 (1.3) | 0.01 (0.7) | 0.02 (2.1) | 0.01 (1.7) | 0.01 (7.4) | 0.01 (0.7) | 0.01 (0.6) | |
MLE | 0.01 (1.8) | 0.01 (1.0) | 0.01 (1.0) | 0.01 (0.5) | 0.01 (0.7) | 0.00 (0.3) | 0.01 (0.3) |
For comparison, average maximum-likelihood estimates (MLEs) obtained via CRI-MAP are also given. The accuracy of the estimator is measured via the mean square error (MSE × 106).