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The phrase "a large effect in" is correct and usable in written English.
It can be used when discussing the impact or influence of something within a specific context or area.
Example: "The new policy had a large effect in improving employee morale across the organization."
Alternatives: "a significant impact on" or "a major influence in".
Exact(39)
Participants in the randomly assigned experimental group displayed a large effect in benefits to effective parenting practices with resultant decreases in child noncompliance and in home and school problem behaviors.
The pH has a large effect in the AOX degradation at values below 5 and over 10, while COD removal is improved at low pH.
When wild flowers were at low densities compared to the monoculture, even the addition of small amounts of extra wild flowers had a large effect in shifting foraging preferences away from the monoculture.
Malononitrile substitutions show a large effect in lowering the molecular LUMO energy level but induce a smaller charge transfer integral due to the resulting reduced crystal order caused by the resulting steric hindrance.
A large effect in favor of controls was found for the time taken to complete the affective ToM task.
In direct comparison to studies that also used a cartoon task to measure visual cognitive ToM, our finding is in contrast with the results of the study by Wolf et al. (2010) that found a statistically significant difference between patients and controls, with a large effect in favor of healthy participants.
Similar(21)
For example, if the CEO improves corporate culture, it can be rolled out firm-wide, and thus has a larger effect in a larger firm.
Economists caution that the changes might have a larger effect in an economy where housing inventory is more plentiful, or where income growth is slower and consumers worry more about tax preferences when making buying decisions.
We conclude that both organic farming and landscape heterogeneity can be used to increase bumble bee species richness and abundance, but that organic farming has a larger effect in homogeneous landscapes and landscape heterogeneity a larger effect on conventional farms.
Of the natural factors influencing climate, the energy output of the sun has increased, which would tend to lift temperatures, but a larger effect in recent years has been volcanic activity, which spews out gases that change into droplets in the upper atmosphere that reflect sunlight back into space.
This increase in the effective volume fraction of the droplets was higher for lower casein concentrations, due to a higher degree of inhomogeneity, resulting in a larger effect in reinforcing the gel compared to more homogeneous systems.
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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