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Of course, if America had maintained the representation ratio originally written into the Constitution--one representative for every 30,000 citizens--we would now have about 10,000 legislators.To bring things around full circle, Dani Rodrik writes today, again on the subject of CAFTA, about two types of committment mechanisms.
Therefore the expected background representation ratio, or the random representation ratio for G1 within G2 is, and the observed representation ratio for G1 within G2 is, EF is then defined as, with a value for EF > 1 indicating higher than background representation ratio for G1 within G2.
The representation ratio predicted to occur if there is no correlation between PCC1 and PCC2, and the observed representation ratios were calculated as described in Methods.
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It reports also the significance of the over-representation ratio, expressed as Z-scores [ 83].
However, if the over-representation ratio was <2 fold, then the matching threshold was increased to achieve the 2-fold enrichment.
The OCT SOX composite motif was not found, which can be explained by no enrichment of this motif (over-representation ratio = 0.99) (Supplementary Fig. S3).
They were substantially lower than the over-representation ratio (7.10) of the OCT SOX motif in the ChIP-seq data, which confirms the low level of motif enrichment.
If the over-representation ratio of motif matches in a specific group was >2 fold, then all matches were counted in this group.
Gene ontology (GO) analysis was done using the NIA Mouse Gene Index software, which evaluates statistical significance using the hypergeometric probability distribution with parameters: FDR = 0.05, over-representation ratio > 1.5 fold [ 54- 56].
The over-representation ratios of the OCT SOX motif density were only 1.57 and 0.99 in ChIP-PET data sets with 3 and 2 ditags, respectively (Supplementary Fig. S3).
Equivalent representations of ratios make different contributions when data are pooled.
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