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The phrase "an additional predictor of" is correct and usable in written English.
It can be used when discussing factors or variables that contribute to or influence an outcome in research or analysis.
Example: "In our study, we found that age is an additional predictor of health outcomes in older adults."
Alternatives: "a further indicator of" or "an extra determinant of".
Exact(23)
In addition to these parameters, CRP was found to be an additional predictor of BMI in obese group (Table 3).
Among the different adipokines, only chemerin and progranulin serum concentration significantly (and independently) predicted the difference between IFG and IGT, suggesting that chemerin may be an additional predictor of abdominal obesity in prediabetic state.
However, multimorbidity is no longer an additional predictor of disability in ADL in this group.
Therefore, we include interviewer identity as an additional predictor of consenting to test for HIV.
Reimbursement by the health care insurance might be important as an additional predictor of CAM use.
VEGFR2 is an additional predictor of TAM response, with a more notable effect in ER-positive tumors.
Similar(37)
The first six of these additional predictors modeled the mismatches in each condition separately (space-tools, space-inserts, space-objects, function-tools, function-inserts, and function-objects), and the seventh was an additional predictor for modeling the effects of the relevant mismatches (i.e., spatial mismatches in the space task and functional mismatches in the function task).
Because we knew that prior behavior might be an important predictor of future behavior, we added percent attendance in the adoption phase to the model as an additional predictor variable of percent attendance in the transition phase.
While examining predictors for health seeking, we included an additional predictor in form of the tier of the healthcare services sought.
When GPA is included in the regression equation as an additional predictor, the relation of the scale HAM-Nat-BPC to academic success remains virtually unchanged (compare Table 3 and Table 5).
In these studies, CT-proET-1 was found to be an independent additional predictor of death after, respectively, 12 and 24 months of follow-up.
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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