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The phrase "a small effect size" is correct and usable in written English.
It can be used in statistical or research contexts to describe the magnitude of a relationship or difference observed in data.
Example: "The study revealed a small effect size, indicating that the intervention had a minimal impact on the participants' outcomes."
Alternatives: "a minor effect size" or "a negligible effect size."
Exact(60)
A small effect size favoring patients was found for RMET performance.
On average, HCs performed better than eBPs on the MSAT, with the group difference representing a small effect size.
A trend with a small effect size toward Perceiving types preferring face-to-face classes was also found.
Most interventions reported a small effect size on active commuting to school (14/23) (d: from ‐1.45 to 2.37).
According to Cohen's (1998) guidelines for r, a small effect size is 0.1, medium effect size is 0.3 and a large effect size is 0.5 (Coolican 2009).
With respect to ToM task completion time, we found controls to be faster than patients with a small effect size on the cognitive ToM task.
There was also a small effect size for them when it came to speech production, talkativeness, affiliative speech and self-disclosure.
Fact: Hyde's meta-analysis showed that there was only a small effect size favoring males when it came to conversational interruption and assertive speech.
Unbolded symbols indicate a small effect size.
a small effect size; b moderate effect size.
*Australian prevalence Unbolded symbols indicate a small effect size.
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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