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To resolve these problems, this study analyzed different levels of uncertainty in a hierarchical way, and used the maximum likelihood version of BMA, i.e., MLBMA, to improve the computational efficiency.
The alignment result (see File S4) of MADS and MEF2s coding regions was used to calculate Ka, Ks, and their ratios by PAML4 (Phylogenetic Analysis by Maximum Likelihood, version 4).
Applying a maximum likelihood version of ICA we were able to infer only seven robust projections or modes.
The ratio of nonsynonymous (dN) and synonymous (dS) substitution rates was calculated per gene using CODEML software from Phylogenetic Analysis by Maximum Likelihood version 4.5 (package) package of programs (Yang 2007).
Finally, we used a maximum likelihood version of the MK test [ 29] to further test for variation in α between loci and/or lineages and to estimate mean α from multi-locus data.
We also apply a multilocus maximum likelihood version of the HKA test (Hudson et al. 1987) to our data (Wright and Charlesworth 2004), to test for the action of natural selection among candidate loci.
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Because the HKA test was significant in both lineages, we used the maximum-likelihood version of the test (Wright and Charlesworth 2004) to determine which genes are under selection.
p-Values presented here were derived using an LRT based on model simplification of maximum-likelihood versions of the mixed models.
Phylogenetic Analysis by Maximum Likelihood (PAML version 4.4) software was used to run the codon stats using the "codeml" program.
Phylogenetic reconstruction was performed using Bayesian (MrBayes; http://mrbayes.csit.fsu.edu) and maximum likelihood (PAUP*, version 4.0; http://paup.csit.fsu.edu) approaches.
Maximum-likelihood estimates of dN/ dS (ω; dS – synonymous substitution rate and dN – non-synonymous substitution rate) were carried out using the codeml program from the software package Phylogenetic Analysis by Maximum Likelihood – PAML version 4.2 (Yang 2007).
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