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First consider the group \(S_{3}\) of permutations of 3 elements under composition.

The genetic structures of sampled populations and individuals were estimated by unweighted pair group mean analysis (UPGMA) using TEPGA, version 1.3 [ 58], with 5,000 of permutations.

To avoid p-values of zero, the minimal significance score to be reached by this method is 1/(# of permutations).

We used the following parameters for data analysis: two class, unpaired data (log, base2), number of permutations 100 and average of background intensity number of neighbors 10.

This expectation contains 2 k-3 observations, so that under H 0, each of the (2 k-3)! permutations of the observations are equally likely.

The genome reshuffling and R/qtl mapping steps necessary to generate an original QTL map and GRAIP permutations can be executed in a day on a modern desktop computer for a small (3000-4000 permutatiofs of a densely genotyped data set a number sufficient to define the criteria for a genome-wide P<0.05) number of permutations and in 4 5 days for a larger (15,000 20,000) set of permutations.

Signals were studied with a SAM analysis (FDR = 0.0011, number of permutations: 5000).

We'll have 60,000 to 70,000 permutations of city pairs you could do, if you put your mind to it.

Permutation analysis confirmed that the observed correlation between gene density and gene expression similarity was statistically significant (1 out of 500 permutations, p = 0.002).

This method is based on empirical distributions of a minimum of 10,000 and maximum of 50,000 permutations.

Figure 10 Spectrogram of permutation-aligned FD-ISFA separated signal.

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