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We tried to mitigate the selection bias (i.e. there are differences between the subjects' expertise) by performing a random assignment of the subjects to the control group and the experimental group.

Likewise, we have taken into account the external perturbations by means of random changes in the values of the outer flux parameters and by performing a random selection of the metabolic subsystems that receive substrate fluxes from the exterior.

As the value of 'increase' and 'decrease' actions at all internal states are initialized to zero, the agent starts by performing a random walk in the homeostatic space.

In order to estimate the model parameters and to quantify the uncertainty of the estimated values, we sampled an ensemble of parameter sets which could describe the available NMR data by performing a random walk through the parameter space through the application of the Metropolis-Hastings algorithm.

We simulated the distribution of the number of reads among alleles for each genotype by performing a random sampling with replacement of the observed reads and estimating T1Resampled as the number of reads sampled required for reaching the threshold for genotype coverage.

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These were done by performing a random-effects meta-regression for each study-level variable.

In the first stage, we evaluate the strength of the epidemiologic evidence supporting the relation between PM2.5 and cerebrovascular disease by performing a random-effects meta-analysis to estimate pooled concentration-response relations.

Nevertheless, the presence of Alus overlapping 6 out of the 12 points analyzed (the ends of the six deletion sequences) is statistically significant (z-score 3.3, P-value 0.0005) as tested by performing a randomization analysis with 1000 random sampling of 12 random locations (see Materials and Methods).

The poor behaviour may be explained by the fact that performing a random-effects meta-analysis effectively means the estimation of first- and second-order statistics, and it is not overly surprising to find that this is a hard task when the data consist of as few as two samples that are only measured with uncertainty.

We subsequently used the IBD web server v3.23 [ 54] to check for isolation-by-distance by performing a Mantel test with 1000 random permutations.

The significance of this statistic was calculated by performing a permutation test with 5000 random permutations of the group membership and then adjusting for FDR.

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