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We compute this value in Equation 1, for 1≤v i ≤n≤v, using the Hypergeometric distribution.
Table 11 Producer sampling plans Open image in new window Source: ISO 2859-1 (1999) (Table 2, level II) risk revised using the hypergeometric distribution.
The significance of all two-way and three-way intersections was estimated using the hypergeometric distribution.
A p-value was then calculated for each class based on the votes using the hypergeometric distribution.
To predict functions of the expression modules, the GO enrichment tests were performed using the hypergeometric distribution [19].
The most representative functional annotations for each experimental condition are identified using the hypergeometric distribution to determine the probability of random occurrence of functional terms (functional enrichment).
This was done by comparison of d.e genes for each time point with canonical KEGG pathways using the hypergeometric distribution function implemented in the statistical language R. Over-represented pathways were detected for all time-points after IL-6 stimulation.
The upper and lower cut-offs for FET were determined from the 2σ interval of the binomial distribution of expression values [44].The algorithm was then run using the hypergeometric distribution without approximation.
A p-value reflecting the enrichment of the pathway in modulated mRNAs was computed from the number of modulated genes in the pathway using the hypergeometric distribution (using the set of 20461 genes of the chip as a reference set).
Using the hypergeometric distribution analysis, we calculated the probability that the proportion of SUMO substrates mapped to a given category could occur by random chance, given the fraction of all fly proteins that map to that category (Table S4, S5).
Finally, several published prognostic gene lists were analyzed for enrichment among the 304 GOBP and among the 36 core pathways, and using the hypergeometric distribution, significant overrepresentation of the core pathways was reported.
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