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In analogy to FunCat enrichment analysis at the FGDB server, assessment of statistically significant GO term enrichment utilized the hypergeometric distribution function as implemented in MS Excel.
We then utilized the hypergeometric distribution to calculate the probability that the pathway score was greater than k, according to the formula below (4) P X > k = 1 - ∑ r = 0 k N k × Q N - n Q n - k Q N Q n where all variables represent the same quantities that they do in equation 1, and all quantities are rounded to the nearest whole number.
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Testing the probability of shared polymorphisms arising via gene conversion vs. independent mutation utilized the approximation of the hypergeometric distribution (implemented in DNASP; method described in [ 26]).
We use Fisher's exact test with the hypergeometric distribution.
Exact statistical inference involves dealing with the hypergeometric distribution.
The variance of the test statistic is based on the hypergeometric distribution.
Fisher's exact test reports the exact p value under a null hypothesis of independent categories using the hypergeometric distribution.
The GO categories and KEGG pathway enrichment analysis of DEGs was performed using the hypergeometric distribution test compared to the whole-transcriptome background.
Enrichment significance for ATAC-seq and/or Atrx ChIP-seq associated genes relative to differentially expressed transcripts was determined using the hypergeometric distribution.
Allowing N to approach infinity in the hypergeometric distribution will result in the binomial distribution.
We compute this value in Equation 1, for 1≤v i ≤n≤v, using the Hypergeometric distribution.
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