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There were a number of limitations to our study, most notably, that the observed change in testing was considerably lower than hypothesized.
Although our multivariate analysis did adjust for these baseline differences, the lower than hypothesized effect size and the baseline imbalance in key confounders, did reduce our statistical power.
The Spearman's rho between the domains of the physical symptoms, sports and recreation, and life style at the initial visit were considered lower than hypothesized (moderate at 0.45, 0.56, and 0.58 respectively).
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The default rates were much lower than the a priori hypothesized values.
It is hypothesized that lower than expected chemisorption capacity is due to decoration of the metal surface by the carbon support.
During secondary ion mass spectrometry (SIMS) analyses of organophosphorous compounds adsorbed onto soils, the measured anion signals were lower than expected and it was hypothesized that the low signals could be due to sample charging.
Ho was typically lower than He, which matches the hypothesized mostly selfing nature of the M. pygmaea species group (Robertson and Lloyd, 1991; Brandon, 2001).
She hypothesized that this could have to do with lower-than-normal vitamin D levels and low thyroid function (which is likely exacerbated by low outside temps).
The background 4DST uptake in mediastinum was lower than that of FDG; therefore, we hypothesize that 4DST might have an advantage for detecting mediastinal lymph node metastasis.
Sites having lower than average historical amino acid replacement rates are hypothesized as being sites most likely to hold phenotypically significant changes in a modern population.
It was therefore hypothesized that driving performance is safer with lower than with higher levels of automation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com