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The phrase "a significant difference was presumed" is correct and usable in written English.
It can be used in contexts where an assumption is made regarding the existence of a notable difference between two or more groups or conditions, often in research or statistical analysis.
Example: "In the study, a significant difference was presumed between the control group and the experimental group based on preliminary data."
Alternatives: "a notable difference was assumed" or "a meaningful difference was anticipated."
Exact(1)
A significant difference was presumed at a P value <0.05.
Similar(59)
This difference is presumed to be greater for unpleasant stimuli.
Otherwise, significant difference was detected.
No significant difference was noted.
When limiting the analysis to intron and intergenic positions, sequences commonly presumed to be neutral, significant differences were observed in 13/14 cases.
However, significant differences were not observed with gravidity, and due to social desirability, we presume that women would be more likely to report a higher level of educational attainment that would minimize the difference in reporting seen between groups.
Biographer Mark Nicholls views the difference in signatures as a significant and puzzling lapse, if a "master forger" is presumed to be responsible for the document.
23 Drugs yielding a P < 1E-5 were presumed to exhibit a significant pharmacological effect in breast cancer patients.
Because of multiple testing a p value < 0.005 is presumed to be significant.
Based on these reports, it can be presumed that the significant difference in this study could be caused by the age change in the experiment calves.
Three reasons have been presumed for this poor correlation: (a) significant difference in the half lives of proteins, (b) inability to get a clear picture because of significant amount of error and noise in both protein and mRNA experiments, and (c) various complicated posttranslational modifications [ 23].
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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