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The phrase "a critical predictor of" is correct and usable in written English.
It can be used when discussing factors that significantly influence or determine an outcome or result in a particular context.
Example: "Research has shown that socioeconomic status is a critical predictor of educational achievement."
Alternatives: "a key indicator of" or "a significant determinant of".
Exact(21)
Mitotic count is a critical predictor of tumor aggressiveness in the breast cancer diagnosis.
Gleason grade is a critical predictor of the aggressiveness of PCa.
Postoperative or remnant liver volume (RLV) after hepatic resection is a critical predictor of perioperative outcomes.
But a critical predictor of overdose has remained absent from this conversation: opioid-related overdoses, both fatal and non, almost always involve at least one other drug.
Higher-order thinking has long been confirmed as a critical predictor of success, both in academia and the workplace.
For instance, childhood economic status (CES) has been found to be a critical predictor of later income in a series of studies (e.g., Gibb, Fergusson, & Horwood, 2012; Hobcraft & Kiernan, 2001).
Similar(39)
Emotional neglect under the age of two was a critical predictor.
Moreover, the results of ANFIS showed that customer satisfaction under human dimension was the most critical predictor of hotel success and development.
This issue seems quite intriguing in view of the potential clinical value of using nonplatinum drugs to prolong the platinum-free interval which is the most critical predictor of sensitivity to platinum rechallenge, although controversies still exist (Markman et al, 1991; Ozols, 1997; Bookman, 1999; Cannistra, 2002).
Impairments in social cognition are critical predictors of social functioning in patients with schizophrenia.
High schools also are focusing on students' transition from middle school to ninth grade and on making sure that students pass English and math, two courses that researchers say are critical predictors of high school success.
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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