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Besides quantifying the effect of platform-related noise, it is important to consider the expected variability caused by binomial sampling in the bulking process.
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The present problem therefore differs from those dealt with by standard binomial sampling in which there can be no possibility of multiple ties.
It has been shown that pooled sequencing is well approximated by binomial sampling [ 12].
We did not observe any differences in the results generated by the binomial sampling vs. the pseudosampling under neutral or selective cases.
In two, it is expressed as the fraction of the total variance, (Vs + var epooling)), explained by the binomial sampling variance, Vs.
Map each population allele frequency to the AFS matrix by using binomial sampling formulas for the target sample sizes and sum over all the Π contributions.
Rejection rates simulated by the exact binomial sampling and by the pseudosampling are given.
We considered a GO term to be significantly overrepresented if the observed sample has more genes in the given term than 5% of 500 simulated data sets, and less than 5% probability of occurring by chance in the binomial sampling test.
The simulations were conducted by the exact binomial sampling.
The counts X k are drawn according to binomial sampling along each position in G.
If we wish to replace N by sample size n, the binomial sampling error of n has to be accounted in the calculation of the variance.
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