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The reduction of a large dataset to a substantially smaller one that includes only the variables in the chosen support set allows a major simplification of the problem, and has great importance for diagnosis and prognosis (although, in some cases, the presence of a limited number of redundant variables may be acceptable in terms of ensuring greater stability of results).
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The average inhibition zone diameter of the extracts was substantially smaller (roughly one third) than that caused by ampicillin (10 mg/mL).
We estimated ω as an average over all sites and branches and the ratio was substantially smaller than 1 (one ratio model ω = 0.07649, Table 3).
We estimated ω as an average over all sites and branches from the FoxO paralogus MSA and the ratio was substantially smaller than 1 (one ratio model ω = 0.084, Table 4) that indicated that purifying selection had been the predominant force acting on the evolution of these vertebrate FoxOs.
On the other hand, OFIR estimators do not result in estimation errors that are substantially smaller than OUFIR ones, especially when N≫1.
This would be reflected by adjusted estimates being substantially smaller than unadjusted ones.
The previously published results were based on substantially smaller study groups than the ones we describe here, raising the possibility that the published findings are a false positive finding.
These meta-analyses were substantially smaller than the present ones and focused solely on case control analyses of obesity and type 2 diabetes, while no continuous traits were studied.
If networks have a similar number of users, they might decide to interconnect without exchanging money; if one network is substantially smaller, it might have to pay several millions of dollars for the privilege of interconnecting with the larger.
However, these studies were only of one class each and thus substantially smaller in sample sizes than our study.
The RMSEA of the two-factor solution was substantially smaller (i.e. better-fitting) than the one-factor solution's and indicated relatively good fit to the data.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com