The phrase "analysis of the permutations" is correct and usable in written English.
It can be used in contexts involving mathematical, statistical, or logical evaluations of different arrangements or combinations of elements.
Example: "The analysis of the permutations revealed several unexpected patterns in the data set."
Alternatives: "examination of the permutations" or "evaluation of the permutations".
In the first part of the paper, the authors develop the optimization theory of both permutation and rank tests in the Neyman Pearson sense; in the second part of the paper, they carry out a comparative performance analysis of the permutation and rank tests (detectors) against the parametric ones in radar applications.
In sequence analysis, both of the permutation approaches discussed in the background section have the limitation that they disrupt the non-random background distribution of polynucleotides.
Among all analyses, empirical significance thresholds (p<0.63, p<0.05 and p<0.01, respectively) were determined through analysis of 10,000 permutations of the F2 genotypic and phenotypic data based on the package R/qtl.
Models were run with Maxent, and the best model was selected, based on the analysis of jackknife permutations and AUC (area under the curve).
The experimental section was designed according to a factorial design of fixed effects and the analysis based on the Permutations Test for an Analysis of Variance Design.
The permutation p-value for the cross-validated mis-classification rate was estimated by analysis of 2000 permutations in which the sample labels were scrambled and the class prediction analysis performed.
The permutation analysis of the first replicate of the GAW15 data set, which was conducted for the 25 one-way and 25 two-way combinations with the highest KWII values with 5000 permutations per combination, required 5 hours and 25 minutes.
We should note that our method facilitates the use of a user-defined threshold at each stage of the analysis, and the permutation procedure would provide a quantification of the overall significance.
Unified analysis of the source separation and permutation resolution is used to optimize these mutually dependent functions.
Significant gene selection via SAM [ 21] calculates the relative differences in the transcript levels based on statistical analysis of data permutations.
