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In a recent poll conducted by the Pew Research Centre for the People and the Press, a landline-only sample showed a 6% preference for Republican candidates; when CPOs were added, the two parties ended up level-pegging.At the national level it is easy enough, though expensive, to account for this by surveying CPOs and including them in the sample in proportion to their share of the population.
To make the samples comparable for experimental validation, the amount of each B. subtilis control transcript was calculated for each sample in proportion to the highest one (DAP).
We have developed a novel method for normalizing mRNA expression values to sample cell numbers by adding external spike mRNAs to the sample in proportion to the genomic DNA concentration.
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As observed in former HRSZ and HRBP studies assessing diagnoses, we found both internalized-anxiety and externalized-disruptive disorders in the whole HR sample in proportions that were quite similar in HRSZ and HRBP, and a high frequency of comorbid disorders (14, 16, 18, 23).
We accounted for incomplete and unequal sampling by using clade-specific sampling fractions and by ensuring that each genus was sampled in proportion to the number of its described species.
If the example sites are drawn from a Boltzmann distribution, where sites are sampled in proportion to their affinity, then log-odds methods have similar accuracies.
In addition, studies that have considered the best allocation of sampling effort by age or stage e.g., [7], [43] have shown that sampling in proportion to the SSD is the approach likely to yield the least uncertainty in demographic parameters.
Owing to the fact that the most important observation errors will arise from inadequate sampling of life stages with the highest elasticities [44], the value (in this case) of sampling in proportion to the SSD is clear.
Certainly, sampling in proportion to the SSD will yield a higher number of juveniles, which typically make the most significant contribution to fox population growth i.e. have the highest elasticities [18], [32].
Because the mathematical form of the posterior probability is not analytically tractable, values of the model parameters were sampled in proportion to their posterior probability according to a hybrid Gibbs-Metropolis algorithm that has been described elsewhere [25].
Thanks to observations, faecal samples were attributed to known social groups or known solitary individuals (Table 1), differences between pre and post-epidemic samples in proportion of solitary individuals vs. individuals in social group were tested with Fisher's exact tests.
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