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For each cluster, we then calculated p-values for overrepresentation of functional groups and regions of the genome (using the hypergeometric function).
We have drawn the corresponding ROC curve (see Appendix "The receiver operating characteristics (ROC) curve") using the hypergeometric function for c = 10, 11, 12, 13.
In this article, the SEP is calculated only for BPSK modulation by substituting M=2 in (18), but it can be easily extended to MPSK, and MQAM using (18) and (19), respectively, and can be expressed in a closed-form using the hypergeometric function [30].
Enrichment in miRNA targets in each category is then tested using the hypergeometric function.
In Appendix 1 we show that this approximation corresponds well to the exact distributions calculated using the hypergeometric function.
To do this, the orthologs of P. falciparum genes were identified in Plasmodium yoelii, Plasmodium berghei, and Plasmodium chabaudi and the degree of motif enrichment in these orthologous gene upstream regions were calculated using the hypergeometric function just as was done in P. falciparum.
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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.
Briefly, after the identification of the epimutated probes we performed a test for overrepresentation of epimutated probes inside each gene using the hypergeometric cumulative function.
After ranking transcripts by their nominal P values and filtering out transcripts not expressed in both expression datasets, the significance of the intersection analysis for the ~5% top-ranking genes from the lists was determined using the hypergeometric distribution function and Fisher exact test.
After obtaining the miRNA/TF and targets relations, we calculated the regulators whose targets were significantly enriched with lung cancer genes using the hypergeometric cumulative distribution function followed by the Benjamini & Hochberg adjustment procedure.
This is done by using the hypergeometric probability density function.
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