Sentence examples for harmonic likelihood from inspiring English sources

Twice the difference in mean harmonic likelihood (known as the Bayes Factor) can be used to determine relative support for alternative hypotheses; values for the Bayes Factors of >10 indicate strong support for the less constrained tree over the a priori imposed constraint (i.e. the hypothesis).

This is because, unlike the harmonic mean likelihood, parsimony statistics such as the retention index can only be used in reference to a single topology.

The harmonic mean likelihood from the Metropolis-coupled Markov chain Monte Carlo (MCMCMC) iterations (after burnin was discarded) was used as an approximation to the marginal log-likelihood of the data [16].

Allowing different rates for each character partition slightly worsened the harmonic mean likelihood compared to the base model (−510.13 versus −509.36, Bayes factor = 1.48 in favor of the base model).

The lognormal model, however, yielded the highest harmonic mean likelihood and was used in subsequent analyses.

Because of potential instability of the harmonic mean likelihood [ 28, 53], we performed at least three separate MCMC runs for each analysis to ensure stability within and among runs.

Under an initial assumption that treats all models as equally probable ('flat priors'), our posterior belief in one model over the other model is reflected by differences in the harmonic mean likelihoods generated by each model [50].

A simple model with a symmetric rate and no cross-site rate variation yielded the best posterior probability as reflected by the harmonic mean likelihoods across the MCMC chains (Table 1).

Using Bayes Factors, the evidence against a hypothesis of Halocaridina as a sister was "Substantial" ([63]; 2×dinferences in logs = 6.12) (unconstrained harmonic mean marginal likelihood = –4122.84; Halocaridina constrained likelihood = –4125.90).

We used Bayes factors for model selection as they are established to provide good orientation tools in this [ 39] and calculated them as follows, using the outcomes of the single MCMC runs: 2LnB10 = 2 × (Harmonic Mean Ln likelihood for Mk – Harmonic Mean Ln likelihood for Mk+Γ).

Phylogenetic hypotheses of the sister taxon of Stygiocaris in the Combined 16S/H3 dataset were investigated using the Shimodaira–Hasegawa (S H) test in PAUP (1000 replicates of resampling of estimated log-likelihood test distribution) and Bayes Factors [63] in MrBayes (constrained versus unconstrained harmonic means of likelihood values [64]).