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To approximate the statistic distribution, two different resampling plans are considered; the usual one based on permutations and a new bootstrap procedure which does not require the exchangeability assumption.
Finally, we note that for the transcriptional data, since feature selection and root selection are based on permutations and resampling, replicate runs can yield slightly different results.
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Significance was assessed using two approaches, one based on permutation and another based on the genome as a background (Additional file 12: Text S2).
Additionally, to examine melodic "Gestalt" independently of absolute pitch, we composed both melodies based on permutations of identical pitches and generalized relative pitch information across different keys.
We compare designs based on column substitutions and designs based on permutations.
The purpose of this paper is to propose a newly developed non-parametric test for linear and nonlinear causality based on permutation entropy and to show its usefulness in analyzing the potential causal relationship between trading volume and security prices.
Since the sample sizes were small and potentially included outliers, we used the quadratic term based on permutation (Adams and Anthony 1996; Manly 1997) to test levels of significance.
Nicolaou, N. & Georgiou, J. Detection of epileptic electroencephalogram based on Permutation Entropy and Support Vector Machines.
We develop a hypothesis test based on permutation testing, and describe a sufficient condition for the validity of the hypothesis test based on automorphism groups of the graphs involved in the hypothesis test.
The obtained PLS-DA model was extensively validated employing two different validation strategies: (i) statistical validation employing a method based on permutation testing and (ii) external validation splitting the available data into two independent sub-sets.
The vast majority of network members are directly targeted by ZEB1 and their expression significantly decreases upon ZEB1 KD (p = 2 × 10−4 based on permutation, 'Materials and methods').
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