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This limiting distribution can be estimated sampling just one simulation run for a sufficiently long time, by computing the fraction of the time that the system spends in each state, i.e. the occupancy distribution [39].
We calculated the fold enrichment for genes testing causal for a trait in the chromosome 8 eQTL signature set compared with across the genome by computing the fraction of causal reporter_ids in the chr8-eQTL signature/the fraction of causal reporter_ids on the array.
Fr i,j) functions were estimated from our observational data (Figure 2, hollow symbols) using a discrete step Δr = 0.5 m (the pixel size of the vegetation map), by sequentially considering each site in the map hosting species i (j), by computing the fraction of sites within the range [r−Δr/2, r+Δr/2] hosting species j (i), and by finally averaging over the entire domain.
Repeat ratio is determined by computing the fraction of the repeated n-grams to the total number of n-grams in the genome.
When using PHANTAST, the confluency of a single image was determined directly from the segmentation outcome by computing the fraction of an image that was labelled as cell pixels.
We evaluated the assemblies by computing the fraction of these totals that were present in a given assembly, finding in nearly all cases that these fractions varied from 85 95%, a significant variation in utility.
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The fraction of variance explained by tissues and species was calculated by computing the fractions of sum of squares explained by the factor tissue and the factor species in a linear model.
The power is calculated by computing the observed fraction of Wald F tests rejecting the null hypothesis (H o : β = 0) when the true value of β is log1.5 (i.e., odds ratio is 1.5).
All simulations and analyses are conducted using SAS 9.3 (Cary, NC).> The type I error rate of each DDF approximation is calculated by computing the observed fraction of Wald F tests rejecting the null hypothesis (H o : β = 0) when the null hypothesis is true.
Proliferation was measured by flow-cytometric analysis of CFSE dilution, and division indices were calculated by computing the weighted fractions of all the divisions as per (D'Alise et al., 2008).
The statistical significance test was performed by generating 1000 randomized networks and computing the fraction of randomized networks in which the pattern appeared at least as often as in the interaction network, as described in detail in [38].
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by computing the amount
by computing the proportions
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by studying the fraction
by computing the ratio
by estimating the fraction
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by computing the lobby
by titrating the fraction
by observing the fraction
by reducing the fraction
by enumerating the fraction
by computing the minimum
by retaining the fraction
by altering the fraction
by computing the intersection
by increasing the fraction
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