For each dataset, the sum of columns 2, 4, and 5 is less than the total number of sequences analyzed (Table 2) due to the few sequences assigned to other NCBI taxonomy categories such as "Other" and "Unclassified".
This was illustrated in the real dataset where the sum of weights was sometimes far above the actual sample size.
Independence among all codon sites is assumed; hence the log likelihood of the complete dataset is the sum of the log likelihood of each site [ 4].
In total, 131 metabolites passed the three quality controls, and the final metabolomics dataset contained the sum of hexoses (H1), 14 amino acids (AA), 24 acylcarnitines (AC), 13 sphingomyelins (SMs), 34 diacyl phosphatidylcholines (PC aa), 37 acyl-alkyl PCs (PC ae), and eight lyso PCs.
It fits a linear model to the dataset by minimizing the sum of squared errors <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0011881.e075.PNG" class= inline-graphic"/>.
To test the applicability of Fisher's combined probability test we calculated the combined probability for the insertion of the two inteins in VMA intein dataset by calculating the sum of the conservation scores for all possible window pairs.
To be able to compare all these composite models, we assemble all residuals calculated from cross-validation into a single vector to compute the mean squared error over the whole dataset and use the sum of the number of parameters in each equation as the total number of parameters to model the whole dataset.
The maximum normalized weight corresponds to the dataset(s) in which the sum of imputed values of Y is minimal (dataset n°921) when δ>0 or maximal (dataset n°771) when δ<0.
Finally, the prediction values of the original water temperature datasets are calculated by the sum of the forecasting values of every sub-series.
On the other hand, when the nucleotide misincorporations originated from an underrepresented A and T nucleotide, their values were multiplied by the ratio G+C/A+T in the specific fragment The total number of the nucleotide misincorporation types observed within modern and ancient datasets were obtain by the sum of the nucleotide misincorporation number revealed in each group of clones.
