The animals were randomly assigned by using the random permutations table.
Empirical distributions of the null hypothesis were then estimated by performing random permutations of samples and then by performing the kernel density estimation (20) to T values and log2-median-ratios resulted from the random permutations.
The probability distribution of the test statistic (the Mantel r) is generated by this random permutation process and used as a basis for assigning a probabilistic interpretation of the true correlation statistic between the observed response and predictor matrices.
The Euclidean distance between the two vectors is also significantly lower than the one obtained by random permutation of the two vectors; specifically, when we performed 1,000 permutations of these values, all of them had higher Euclidean distance (P-value <0.001).
The reorderings reveal the mutually exclusive cluster structures of A and B. We also applied the cluster validation method to the structures uncovered by the reorderings using random permutation.
GenAlEx 6.5 offers the calculation of G′ST, G′′ST and Jost's Dest, providing [0,1]-standardized allele frequency-based estimators of population genetic structure, following Meirmans and Hedrick (2011), testing the null by random permutation and estimating variances via jackknifing and bootstrapping over loci.
We computed empirically p-values for the best FLP and FTP by performing random permutation of the labels, learning best predictors for each such permutation, and computing the fraction of cases (out of 1000 permutations) that a predictor for permutated labels gave better error rate than the original predictor.
In [5], Tang proposes a selective encryption algorithm based on DES encryption of DC coefficients and replacing the zigzag scan of the AC coefficients by a random permutation.
The credibility of the regulatory relationships in the network was validated by random permutation procedures and supported by authoritative experimental evidence-based databases.
This measure, FDPk, is the number of genes present in k or more studies as found by random permutation divided by the observed number of genes present in k or more studies.
