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The phrase "based on variation in" is correct and usable in written English.
It can be used when discussing how something is determined or influenced by differences in a particular factor or variable.
Example: "The study's findings were based on variation in temperature across different regions."
Alternatives: "dependent on differences in" or "determined by changes in".
Exact(60)
Different genotypes of the E. histolytica strains were confirmed by PCR-based genotyping based on variation in the numbers of short tandem repeats that are linked to E. histolytica tRNAs [ 47].
This is likely to be minimized in those case-control studies comparing more extreme (susceptible vs resistant) phenotypes where misclassi-fication of cases or controls based on variation in spirometry-based definition is likely to be minor.
Data from the studied population might not be representative for the whole Germany – in fact one can expect differences based on variation in social status and local ethnicity mix.
The first research question is based on variation in linear measurement of one student's arm span.
Firstly, a principal component analysis (PCA) was performed to detect any group separation based on variation in NMR signals.
The detection of putative hybrids based on variation in relative DNA amounts was problematic due to the occurrence of aneuploidy.
However, the confidence intervals based on variation in the estimate of r values do not account for all the sources of error.
Based on variation in the response to the calibration input signal, the 1 standard deviation uncertainty on the charge measurement is roughly 100 charges.
For the area of study under investigation, three subsurface layers were delineated with varying lithology and thickness based on variation in GPR reflection patterns coupled with its local geology (Fig. 3).
Growths of the indium tin oxide (ITO) nanorod films have been demonstrated by ion-assisted electron-beam evaporation with the glancing-angle deposition technique based on variation in deposition rate.
The present paper discusses the sensitivity of friction and wear behaviour of selected composites based on variation in inclusion of organic fibres, viz., aramid, PAN, carbon and cellulose, to braking pressure and sliding speed.
More suggestions(16)
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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