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The phrase 'difference between groups' is correct and usable in written English.
You could use it when discussing the distinctions between two separate categories of a given topic. For example, "The study revealed a significant difference between groups in terms of their level of education."
Exact(60)
Difference between groups was analyzed with Student's t-test.
There was no difference between groups on Heschl's gyrus volume.
There was no significant difference between groups on procedural knowledge.
Results: An overall difference between groups was found.
The second thing they are often used for is to measure the difference between groups.
There was no significant difference between groups in levodopa plasma concentrations either before or after drug.
Of studies comparing anxiety levels in carriers and noncarriers, all reported no difference between groups.
Difference between groups (include CI); Interpretation.
No difference between groups was found [65].
DSS scores showed no difference between groups.
Over time this difference between groups disappeared.
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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