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The phrase "a fairly small subset" is correct and usable in written English.
It can be used when referring to a limited or specific portion of a larger group or category.
Example: "In our research, we focused on a fairly small subset of the population to gather more detailed insights."
Alternatives: "a relatively minor group" or "a somewhat limited portion".
Exact(5)
Blood cancers are a fairly small subset of cancers as a whole.
"Fortunately, that's a fairly small subset of clutter items," he said.
Dr Max Davie, the mental health lead at the Royal College of Paediatrics and Child Health, said the hypothesis applied to a fairly small subset of children.
Computational Grids and Data Grids are becoming commonplace in certain sectors, yet the style of security they implement is suitable only for a fairly small subset of possible user communities.
This specific association might be age dependent since no correlation of high BAALC expression with WT1mut was found in a cohort of 158 CN-AML patients aged 60 years or older, which could also be confirmed in our cohort, when analyzing a fairly small subset of 77 patients of at least 60 years of age (data not shown).
Similar(55)
And equally, note that Google Play users are a pretty small subset of music fans.
There was a fairly small number of subjects included, however, as stated earlier, patients meeting the criteria for assessment represent a small subset of the patient population.
Surprisingly, a fairly small number (Quistorff 1985) of the 193 differentially expressed genes showed evidence for PPARα binding in the ChIP-on-chip study, with an even smaller subset (Atzori et al. 2009) of these genes containing functional PPREs.
"Goshen is a fairly small community.
In most, they have a fairly small majority.
We're a fairly small cohort of 11.
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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