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The phrase "for this disparity" is correct and usable in written English.
You can use this phrase when you want to introduce the reason for a difference between two things. For example: "The two cities have a huge disparity in their population sizes, for this disparity there are a number of factors at play."
Exact(60)
What accounts for this disparity?
The reason for this disparity is clear.
Two things account for this disparity.
So what are the reasons for this disparity?
The main reason for this disparity is government policy.
Now, it seems to me there are at least three possible explanations for this disparity.
The reason for this disparity is critical to evaluating the administration's proposal.
So, what is the reason for this disparity between what students think and what employers say?
Poor access to childcare is the main reason for this disparity, the report concludes.
The way to account for this disparity is to distinguish between salaried employees and subcontractors.
The reason for this disparity is Lin's extremely high turnover rate.
More suggestions(16)
for this variability
for this disproportion
for this asymmetry
for this variation
for this unevenness
for this imbalance
for this disproportionality
for this inconsistency
for this inequity
for this incongruity
for this divergence
for this differential
for this dimension
for this research
for this comparison
for this element
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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