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The phrase "a medium effect size" is correct and usable in written English.
It can be used in statistical or research contexts to describe the magnitude of an effect in a study or experiment.
Example: "The results indicated a medium effect size, suggesting a moderate relationship between the variables."
Alternatives: "a moderate effect size" or "an average effect size".
Exact(60)
This effective sample size is sufficiently large to detect a medium effect size.
Condition had an effect on the frequency of vocalizations produced with a medium effect size, χ2 3, N = 23) = 17.69, p = 0.001, W = 0.26.
However, a medium effect size was observed in favor of the 3D group in terms of practical significance.
Here, a crucial difference is defined as a medium effect size (|r| > 0.3) [1].
The student responses to understanding the basic concepts does have a medium effect size (d = 0.46).
The question about family influences on a students' motivation pursue their major has a medium effect size (d = 0.52).
This particular factor also has a medium effect size (d = 0.67), which indicates that the response distributions are noticeably different.
A medium effect size (Grissom and Kim 2005) indicates that these two groups have noticeable difference between the groups.
We found a significant difference between patients' and controls' Stroop test performance with a medium effect size.
White students are more likely (with a medium effect size), to cite personal interest as a reason for choosing their STEM major.
The 'attentional subscale' reduced slightly so that it no longer significantly differed to controls, although effect size calculations still indicated a medium effect size (d = 0.69).
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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