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To test the hypothesis that the S ij-values of different organisms groups (i.e. different domains or different phylums within the same domain) have significantly different means, we computed an empirical permutation P-value (see section 2).
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By this means, we compute a matrix that contains the distances of the test sample to all the samples of a reference set as well as their mutual distances.
For the purpose to obtain the most precise estimate of the overall mean, we compute a weighted mean, where the weight assigned to each study is the inverse of that study's variance [29]: {W}_i^=frac{1}{V_{Yi}^ (1 where ( {V}_{Yi}^={V}_{Yi}+{T}^2 ), in which V Yi is the variance within-study for study i and T 2 is the variance between-studies.
That means, we have to compute the derivatives (A.1) with C ν simplified to.
This means we need to compute the rank set for each of these unique terms.
However, the low dimensionality of ε e,i,j means we can pre-compute solutions for each ε e,i,j sub-problem systematically.
In addition, when computing scale means, we excluded those who had two or more missing items as well as those who indicated that the procedure was not offered.
Interestingly, cloud computing means we don't have to.
This means we'll have more computing power available to us (and our cloud services) than ever.
Using this square grid of pixels and the daily time series of mean catchment WTD, we computed the local WTD for each pixel at each daily time step.
In the interest of homogeneity, we computed group means from individual-subject data and used them to express inhaled-air styrene concentration.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com