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The phrase "a key variable for the" is correct and usable in written English.
It can be used when discussing an important factor or element that influences a particular outcome or situation.
Example: "In this study, we identified a key variable for the success of the marketing campaign."
Alternatives: "an essential factor for the" or "a crucial element for the".
Exact(3)
It is also a key variable for the optimization and the control of the underlying process.
This is a key variable for the measurement of the size of the firm.
Temperature is a key variable for the development of algal biomass because it regulates the rate of cellular metabolism and growth, and has been demonstrated to be an important limiting factor (Munn and others 1989; Bowes and others 2007).
Similar(57)
Birthweight is a key variable for measuring the quality of the prenatal medical and social environment as well as predicting future individual health outcomes.
This study suggests that the day-to-day regulation of negative and positive affect is a key variable for understanding the pain experience of individuals with rheumatoid arthritis and is a potentially important target for intervention.
While empirical growth & yield models (G&YMs) provide good estimations of tree growth at the stand level on a yearly to decennial scale, process-based models (PBMs) use LAI dynamics as a key variable for enabling the accurate prediction of tree growth over short time scales.
As mentioned earlier, a key variable for calculating the traded quantities of illicit drugs in Bogota are seizures.
ULC is also a key variable for estimating the New Keynesian price equation (Galí and Gertler 1999; Sbordone 2002).
Therefore, patient satisfaction is a key variable for determining the value of a health care program.
Further, the study highlights the role of trust as a key variable for attaining collaborative paths along the agri-food supply chain, particularly between farmers and processors.
Relational models in economic theory highlight the importance of trust as a key variable for attaining collaborative relationships and mutual benefits for the parties involved.
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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