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The phrase "allocated based on a" is correct and usable in written English.
It can be used when discussing the distribution or assignment of resources, tasks, or responsibilities according to a specific criterion or factor.
Example: "The budget will be allocated based on a thorough analysis of each department's needs."
Alternatives: "distributed according to a" or "assigned based on a".
Exact(17)
He said: "Local government funding is allocated based on a needs-based formula which has been agreed by council leaders - if Gordon Matheson has a problem with this, he should speak to his Labour colleagues from other council areas who believe that Glasgow gets too much money.
Sample sites were allocated based on a multivariate classification of landscape attributes.
The proposal will account for 60percentt of the grade and the remaining forty percent is allocated based on a take-home final exam.
In the last election, for example, the Bharatiya Janata party (BJP) won 31% of national votes and captured 282 seats – 114 more seats than it would have won under a proportional representation (PR) system, where seats are allocated based on a party's share of votes.
The amounts appropriated or otherwise made available to States under this section shall be allocated based on a funding formula established by the Secretary of Housing and Urban Development (referred to in this section as the 'Secretary') not later than 60 days after the date of enactment of this Act [Oct. 24, 2018].
The amounts appropriated or otherwise made available to States and units of general local government under this section shall be allocated based on a funding formula established by the Secretary of Housing and Urban Development (in this title referred to as the 'Secretary').
Similar(42)
Then the radio resources are allocated based on an imperfect estimation of the channel gain by ĝ (s2s) and ĝ (s2p), so that [24] g ( s 2 s ) = ĝ ( s 2 s ) + Δ s 2 s (31) g ( s 2 p ) = ĝ ( s 2 p ) + Δ s 2 p. (32).
Convention cachet is sometimes allocated based on one's state.
For example, adding a notation on whether a state was allocated based on multiple indicators, a single indicator or via time-based assumptions only.
As she explained, the insurance is allocated based on formulas that require a substantial history of yields and prices for each particular crop type grown in a particular county.
There would be an additional pool of 250,000 visas from which states could draw, allocated based on the state's population as a percentage of the total US population.
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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