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The phrase "based on a comparison of" is a correct and usable phrase in written English.
You can use it when discussing two or more topics that have been compared to each other in order to draw a conclusion. For example: "The decision was based on a comparison of the two options: increasing the budget or hiring more staff."
Exact(60)
The core feature of an economic exchange is a decision to trade one good for another, based on a comparison of relative value.
The rating was based on a comparison of communities with populations that are less than 4,700.
Factorial correspondence analysis (FCA) of population multilocus scores computed using GENETIX based on a comparison of the first three factors.
This estimate is based on a comparison of [H2SO4] measurements with a CIMS and a calibrated H2SO4 generator61.
This is based on a comparison of rounds financed by a single VC firm as opposed to multiple ones.
We make our interpretations based on a comparison of modern foraminiferal percentages to the percentages we find in older samples.
This protocol was based on a comparison of fetal head and maternal pelvic measurements.
Based on a comparison of measurements, differences between the two modeling approaches are discussed.
The assessment is based on a comparison of results from spatially global and local analysis methods.
It is based on a comparison of a child's body mass index to growth charts from a reference population; it is not based on a comparison of a child's body mass index to measurements of the current population of children.
That number is based on a comparison of the full time-equivalent earnings of men and women, taking part time work into account.
More suggestions(16)
based on a relative of
based on a model of
based on a misunderstanding of
based on a sense of
based on a measure of
based on a set of
based on a number of
based on a suspicion of
based on a stroke of
based on a tree of
based on a minimum of
based on a member of
based on a lifetime of
based on a list of
based on a range of
based on a combination of
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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