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The phrase "adjustment for the effect" is correct and usable in written English.
It can be used in contexts where you need to account for or modify something based on its impact or influence.
Example: "The adjustment for the effect of inflation is necessary to accurately assess the real value of the investment."
Alternatives: "correction for the impact" or "modification for the influence".
Exact(54)
Our analysis adjusts for ethnicity over the entire study period, but adjustment for the effect of all of the changes in the allocation scheme on centre specific transplant rates before and after April 2006 would not be possible.
This remarkable effectiveness for atrophy (61%) persisted after adjustment for the effect of the declining incidence, possibly due to improvements in sanitation and hygiene.
The forecast model is not making any sort of adjustment for the effect that naming a running mate could have on the polls.
After adjustment for the effect of statin therapy and other medicines on subsequent cardiovascular disease events, the effect of fenofibrate was moderately larger (Table 6).
Violation of HWE in multivariable regression analysis remained a statistically significant source of heterogeneity after adjustment for the effect of study size (PHet = 0.031, τ2 = 0.020).
The risk allele of SNPs rs10811661 (CDKN2A/2B), rs13266634 (SLC30and and rs2466293 (SLC30A8) increased the risk of incident T2DM by 94%, 88% and 152%, respectively, in the recessive model after adjustment for the effect of age, gender and BMI.
Similar(6)
The FiveThirtyEight forecast will build in an adjustment for the effects of the conventions.
There was also a significant negative correlation between N-acetylaspartate concentration in the right hippocampus and illness duration, after adjustment for the effects of age.
After adjustment for the effects of covariates on reductions in the relapse rate, switching had an overall positive effect on clinical activity (p = 0.01 for heterogeneity).
The relationship between the latent variables is then considered after adjustment for the effects of covariates.
This association was further strengthened after adjustment for the effects of insulin resistance (P for trend = 0.019 in model 2).
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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