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The phrase "associated with a mean decrease of" is correct and usable in written English.
It can be used in contexts such as scientific research, statistical analysis, or any discussion involving data that indicates a reduction in a measured variable.
Example: "The treatment was associated with a mean decrease of 15% in symptoms over the course of the study."
Alternatives: "linked to an average reduction of" or "correlated with a mean decline of".
Exact(3)
Occurrences of diabetic complications were associated with a mean decrease of 0.045 HU (95% CI = −0.073 to −0.017), as measured by the EQ-5D [ 47].
48, 49 In Hutton's metanalysis, one year of orlistat therapy was found to be significantly associated with a mean decrease of 0.4% of glycated hemoglobin A1C (Hband) and a mean decrease of 0.83 mmnol/L of fasting blood sugar, along with greater orlistat-induced reduction of dosage of antidiabetic medications such as insulin, metformin and/or sulfonylureas.
Short IPIs (< 6 months, with 18 23 months as a reference) were associated with a mean decrease of 207.6 g (SE: ± 73.1) in birth weight (p = 0.005) and a twofold increased risk of SGA (OR: 2.05; CI: 0.93 4.51; p = 0.074).
Similar(57)
A 2-l bolus given over 30 60 min immediately after ROSC was associated with a mean decrease in core temperature of 1.3 °C [54].
A 2-l bolus given over 30 60 min immediately after ROSC was associated with a mean decrease in core temperature of 1.3 °C [ 54].
One retrospective study of children with aggression associated with various diagnoses described a mean decrease of 36% in the severity of symptoms after using risperidone [ 45].
The presence of ≥2 STLEs was associated with a mean change in adherence of -3.67% (95% confidence interval (CI): -7.12%, -0.21%) and decreased likelihood of achieving ≥95% adherence (risk ratio (95% CI) = 0.82 (0.95, 0.95)).
We observed that an increase (decrease) of the mean was mostly associated with an increase (decrease) of the scale.
I used the mean data provided in one of the reports from Kumar and coworkers to calculate that LV Emax decreased from 1.09 to 0.96 mmHg/ml with saline volume expansion, while Ea decreased from 1.1 to 0.97 mmHg/ml and the SV increased (i.e. the increase in mean SV was associated with a decrease in mean afterload while the mean contractility decreased).
In the fully adjusted model, a ln-unit increase in PFOA was associated with a decrease in mean head circumference of 0.41 cm (95% CI, −0.76 to −0.07).
A one SD increase in birth weight was associated with a decrease in mean SBP and DBP of 1.73 and 1.12 mm Hg, respectively.
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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