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The phrase "assigned based on a" is correct and usable in written English.
It can be used when discussing criteria or factors that determine how something is allocated or designated.
Example: "Tasks will be assigned based on a priority system that evaluates urgency and importance."
Alternatives: "allocated according to a" or "designated based on a".
Exact(27)
*PFWH6_# unless otherwise noted; ^N-terminal translocation signal scores were assigned based on "A"; >10% serine in first 50 amino acids, "B"; absence of aliphatic amino acids in position 3 or 4, and/or "C"; absence of negatively-charged amino acids in the first 12 amino acids [ 62].
In this paper, we assume that the MBS and FBS use OFDMA-based WiMAX and that resources are assigned based on a frequency-time basis.
At least until the early nineties, when this system began to break down, along with the economy, there were fifty-one subclasses, to which people were assigned based on a regular review and more refined analysis of their Party loyalty and ideological comportment in public and private life.
A relative potency of one vial of Fab to two vials of F ab' 2 was assigned based on a Phase 2 clinical trial and mouse ED50 comparisons.
Colour label was assigned based on a threshold on the red channel of RGB space (0.3).
A class label is assigned based on a majority vote of its k nearest neighbors.
Similar(33)
The points for LGAs are colour-coded according to the quintile of socio-economic disadvantage to which each LGA is assigned (based on an area-based Index of Relative Socio-Economic Disadvantage (IRSED) that is developed from census data).
The MINT-inspired (MI) score was assigned based on an earlier approach [ 16] and it was adopted their confidence score formula (http://wodaklab.org/iRefWeb/).
These codes were re-assigned based on a redistribution algorithm developed for the NBD Study.
Early on, it may be useful to assign based on a visible characteristic, so the instructor can verify that those students reporting are indeed those who were assigned to report.
Fitness was assigned based on performance via a selection function.
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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