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We then estimated f i, i = 1,...,6 and α at maximum likelihood.
Our approach is to combine information from any pair or all three of these experiments, and arrive at maximum likelihood estimates (MLEs) for the 5-mC and 5-hmC levels.
We therefore defined e(a) as the product of mean consumption by the corresponding percentage of consumers in age class a, and wrote f(a) = f0 e(a), where f0 was estimated at maximum likelihood.
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Both distance trees gave the same topologies at supported nodes as maximum likelihood and Bayesian methods.
The parameters σ, β, θ (Eqs. 5 and 6) are estimated at maximum-likelihood sense and calibrated in different process that is detailed in Appendix.
To avoid underflows and overflows, the highest log likelihood at the locus, ℓmax, calculated at the maximum likelihood tree topology and branch lengths, is used for scaling: the integrands of equation (3) are divided by e ℓ max before they are summed up (Yang 2006: eq. 9.9).
Hypothesis testing on the significance of migration values was performed for both marker types by comparing the likelihood value at m = 0 to the likelihood value obtained at the maximum likelihood estimate, and contrasting the log likelihood ratio against the distribution of the simulations previously presented [Figure 5 in ref [ 11]].
In adaptive optimal designs, each stage uses a locally optimal design evaluated at the maximum likelihood estimates derived using cumulative data from all prior stages.
where log L = ℓ θ ̂ is the log-likelihood of the model evaluated at the maximum likelihood estimates and d is the number of parameters.
All breeding characters showed a significant phylogenetic autocorrelation at a maximum likelihood distance <0.06 0.08 (Z≥1.96; Fig. 3), except for body mass (max. Z = 0.5).
Reliable numerical estimates of this probability were obtained by using the Bayes Empirical Bayes (BEB) technique [26], that accommodates uncertainties in the dN/dS distribution by integrating over a prior of the parameters, while the branch lengths, which are known to have a minor impact on the inference concerning dN/dS, are left fixed at their maximum likelihood estimate.
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CEO of Professional Science Editing for Scientists @ prosciediting.com