TABLE 4.
Comparison of log Bayes factors (marginal log-likelihood differences) approximated by thermodynamic integration and harmonic mean estimator, for different models and different numbers of loci
LBF for modela |
Rank of model |
|||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 1st | 2nd | 3rd | 4th | 5th | 6th | |
Thermodynamic integration | ||||||||||||
Loci | ||||||||||||
1 | 0 | −10 | −86 | −583 | −594 | −253 | 1 | 2 | 3 | 6 | 4 | 5 |
2 | 0 | −552 | −1,946 | −3,167 | −3,338 | −467 | 1 | 6 | 2 | 3 | 4 | 5 |
5 | 0 | −697 | −2,432 | −4,757 | −4,826 | −542 | 1 | 6 | 2 | 3 | 4 | 5 |
10 | 0 | −1,136 | −4,266 | −8,566 | −8,352 | −2,328 | 1 | 2 | 6 | 3 | 5 | 4 |
20 | 0 | −2,072 | −5,914 | −12,913 | −12,379 | −4,835 | 1 | 2 | 6 | 3 | 5 | 4 |
50 | 0 | −4,829 | −14,683 | −30,147 | −28,439 | −15,245 | 1 | 2 | 3 | 6 | 5 | 4 |
Harmonic mean estimator | ||||||||||||
1 | 0 | −7 | −20 | −29 | −28 | −35 | 1 | 2 | 3 | 5 | 4 | 6 |
2 | 0 | −76 | −83 | −123 | −70 | −168 | 1 | 5 | 2 | 3 | 4 | 6 |
5 | 0 | −124 | −133 | −215 | −160 | −308 | 1 | 2 | 3 | 5 | 4 | 6 |
10 | 0 | −236 | −201 | −430 | −161 | −420 | 1 | 5 | 3 | 2 | 6 | 4 |
20 | 0 | −438 | −565 | −1,085 | −453 | −943 | 1 | 2 | 5 | 3 | 6 | 4 |
50 | 0 | −819 | −1,266 | −2,613 | −1,266 | −2,723 | 1 | 2 | 5 | 3 | 4 | 6 |
Model 1 was used to simulate the data and is the reference model.
Model numbers are specified in Table 1.