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The phrase "model adjusted by" is grammatically correct and can be used in written English. It typically means that a particular model or theory has been modified or altered in some way. An example sentence could be: "The results of the study were significant, with the model adjusted by incorporating new variables showing a stronger correlation between income and happiness."
Exact(37)
In this study, a phenomenological crystal-field model adjusted by the covalency factor [34, 35] was introduced to explain the blue-shift in TAG Ce3+ colloidal nanocrystals.
In a multiple logistic regression model adjusted by severity, TnThs behaves as an independent determinant factor of myocardial dysfunction in patients with sepsis.
Associations with hypertension (HYP) were tested by trend test and logistic regression under additive genetic model adjusted by age and sex as covariates.
Final model adjusted by sex and age.
¥Final model adjusted by sex, age and smoking habit.
Final model adjusted by marital status and presence of systemic disease.
Similar(23)
We performed a lineal model adjusting by age, and found no differences in our results at one-year follow-up.
In the multivariate logistic regression model, adjusting by sex, age, PI and NRTIs exposure, and CD4 count, the association between current ddI use and increased LDL-c levels did not reach statistical significance (OR = 3.44 (CI95%: 0.976-12.12), p = 0.055).
Determination coefficients (R2) for the second-order models adjusted by RSM were above 96%.
Improved creep and shrinkage material properties were determined using recently developed creep and shrinkage models adjusted by means of short-term creep and shrinkage data.
Variables with colinearity were analyzed in different models (adjusted by primary variables or calculated variables respectively) to reduce the bias.
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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