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The phrase 'moderate effect size' is correct and usable in written English.
You can use it to describe the magnitude of an observed effect in scientific or statistical studies. For example, "This study found a moderate effect size for the intervention, suggesting a substantial but not overwhelmingly large impact."
Exact(60)
GWAS have a high power to detect common variants of high or moderate effect size.
Random effects meta-analysis found an overall moderate effect size for VR interventions.
The three clusters showed significant differences in the three communication variables, with a moderate effect size (Cohen, 1988).
We found a marginally significant difference between the two interfaces with a moderate effect size (d = 0.63).
*Denotes a moderate effect size difference (0.60 to 1.20) between the high- and low-standard playing groups.
Variants with moderate effect size in TM6SF2, MBOAT7 and GCKR have also been shown to have a significant contribution.
Evaluations of pre- and post-treatment measures pointed to a moderate effect size, relatively greater in the within-subject and single-subject studies.
There was a statistically significant (t(20) = 2.74, p = 0.013, d = 0.50) improvement toward more reformed responses on the survey with a moderate effect size.
A significant negative correlation was found between rating scores on the YMRS and the RAVLT trial 1 (p = .033) with a moderate effect size (r = − .333).333
Individual meta-analyses found an overall large effect size against non-intervention wait-lists and an overall moderate effect size against active interventions.
Fact: Hyde's meta-analysis indicated that there was a moderate effect size for women when it came to smiling during conversations.
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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