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The phrase "a key parameter" is correct and usable in written English.
You can use it when referring to an important factor or variable that significantly influences a situation or outcome.
Example: "In our analysis, a key parameter to consider is the rate of customer satisfaction, as it directly impacts sales performance."
Alternatives: "a crucial factor" or "an essential variable."
Exact(60)
If you expect a change in a key parameter to have a significant impact on the output and it does not, you need to ask why.
For clean-up considerations, deposit depth is a key parameter.
There is a key parameter K in the JSR model.
Selectivity is a key parameter of gas sensors.
Time is also a key parameter in nanoparticles synthesis.
Moreover, stress is a key parameter in unconventional reservoir engineering.
Hazard intensity is a key parameter input to vulnerability models.
Temperature is a key parameter influencing clock skews.
The maximum Doppler spread (DS) is also a key parameter.
Enhancing selectivity is a key parameter in green chemistry.
The threshold value is a key parameter in the proposed approach (Figs. 5 and 8).
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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