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The phrase "a worthwhile difference between" is correct and usable in written English.
You can use it when discussing distinctions that have significant value or importance in a particular context.
Example: "There is a worthwhile difference between merely existing and truly living a fulfilling life."
Alternatives: "a significant distinction between" or "an important difference between".
Exact(1)
Therefore, after a consensus discussion with the OTs delivering the trial interventions, we estimated a worthwhile difference between groups to be 20%.
Similar(59)
For these analyses, the hypothesised difference, that is, the smallest worthwhile difference, was calculated as 0.5×the between-subject SD.
A relatively conservative value was used for the smallest worthwhile difference (ie, 0.5 rather than the standard 0.2 27) because the relationships between changes in sleep and changes in sports performance are not yet well quantified.
There is a big difference between making something creative and worthwhile, and making something cheap and lazy because you forgot to/didn't buy something.
Does it really matter whether there is a statistical difference between two treatments if the difference is not clinically worthwhile or if the research is marred by bias?
Based on our clinical judgment of how much improvement we should expect to make worthwhile the time and trouble associated with acupuncture, we pre-specified a 20% difference between groups as clinically meaningful.
Although all Prime Day deals are technically discounts, there's a big difference between saving $1 and saving $20 or more, so be sure you know which deals are worthwhile.
This illustrates a fundamental difference between Bob Dole and Bill Clinton.
There's a major difference between Bush and Obama.
There is a crucial difference between us.
There's a big difference between fifty-four and zero. fifty-four and zero
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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