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We restrict ourselves mainly to the analytic perspective but comment on the geometric and probabilistic significance of Harnack inequalities.
To evaluate the probabilistic significance of the least-square fit between the DA trace and the cosinor model that was computed based on the animal's locomotor activity oscillations, a false discovery rate approach was employed (Storch et al., 2007).
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However, regularities that can be represented by them cannot all be assigned causal significance, and probabilistic equalities that are sufficient for probabilistic independence cannot all be taken to represent causal independence.
The results on prediction are quantified by a probabilistic statistical test of significance.
WNC allows the automatic selection and ranking of genes based on a weighted version of node degree, together with a probabilistic assessment of its significance.
These binding/unbinding events are intrinsically probabilistic because of the significance of thermal fluctuations at that scale and the low number of molecules involved in the process.
The formula presented in Table 1 is a variant of the LogOdd formula introduced in [ 36], which was first proposed to measure the significance of probabilistic patterns.
The Cyber-T test considers the rank order of genes in each biological replicate and uses a Bayesian probabilistic approach to determine the significance of changes based upon the consistency of this rank order between replicates.
The significance of those probabilistic scores was calculated by a t-test of the mean of assigned regulators with the mean of randomly assigned regulators.
We calculated the significance of those probabilistic scores by comparing the assigned regulators with randomly assigned regulators, using a t-test comparing their means.
> -wrap-foot> RAPSearch2 uses the same probabilistic model to evaluate the significance of protein sequence alignments used in BLAST (Altschul et al., 1997), and reports the E-values similarly.
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