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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.
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We obtain empirical p-values by computing the fraction of resamples with mean ΔH > 0, thresholded at FDR = 0.05; the Bootstrap ratios for significant brain regions were displayed.
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].
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.
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.
Repeat ratio is determined by computing the fraction of the repeated n-grams to the total number of n-grams in the genome.
The relative contribution of patient handling tasks to the calculated overall physical load was assessed by computing the fraction of the residual variance explained by patient handling tasks in a variance analysis model for the physical load index.
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.
To ensure that our sampling approach yields sufficiently variable samples, we also quantify the overlap between samples by computing the fraction of genes shared by an increasing number of samples, using the "monogenic" set as an example.
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 then summarized all these correlations by computing the fraction of them more negative than a correlation threshold t, multiple values of which (-0.1 to -0.7 with a step size of 0.1) were tested.
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