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"much larger effect" is a correct and usable phrase in written English.
It can be used when referring to a significant or considerable increase in the size, intensity, or degree of something. For example, "The researchers found that the new drug had a much larger effect on patients' health than the existing medication."
Exact(59)
Varying the earnings effect over its estimated 95% CIs had a much larger effect on the incremental cost-effectiveness ratio ($45,746 to $27,921) than varying the missed work effect over its 95% CI ($38,136, $35,421).
"He showed you can have a much larger effect than by going to a self-appointed Christian conservative leader," Mr. Brinson said.
For example, penis size has a much larger effect on attractiveness for taller men, than it does for shorter men," Dr Mautz said.
While we each don't have to buy a hybrid automobile, if each of the more than 290 million of us were to save a little, that would have a much larger effect than new exploration or new regulations.
"The first is the promotion of ethanol conversion, which provides the U.S. with less than 1 percent of its energy but has a much larger effect on global food availability".
Officials say there are very few illegal immigrants currently enrolled who might benefit from the in-state tuition discount; the much larger effect will be in encouraging others to enroll.
This much larger effect than in (5) is significant at the 1% level.
Scratches on notched samples exhibited a much larger effect, reducing fatigue life by an order of magnitude.
For large population size, our overlapping-generations model predicts a much larger effect of population size than Henrich's discrete-generations model.
We see a much larger effect of lattice contribution, i.e., ζ l = 9.69, 8.79, and 7.10 for the same set of NWs.
The choice of the carbon precursor had a much larger effect on the IG/ID ratio of the synthesized CNT fibers than the other operating variables.
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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