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The phrase "analyses were based on" is correct and usable in written English.
It can be used when discussing the foundation or sources of the analyses conducted in a study or report.
Example: "The analyses were based on data collected from various surveys conducted over the past year."
Alternatives: "analyses relied on" or "analyses drew from".
Exact(59)
Our analyses were based on 330 deliveries.
All statistical analyses were based on these ROI data.
Further data analyses were based on normalized data.
All analyses were based on the available laboratory data for each CpG site at the DMRs.
The analyses were based on data through the end of November and projections of December temperatures.
Subsequent analyses were based on nearly 12,000 behavioural observations.
The analyses were based on BESTEST, south-oriented zone geometry.
Statistical analyses were based on linear mixed models.
The statistical analyses were based on linear and logistic regression.
Efficacy analyses were based on the allocated treatment.
All subsequent analyses were based on clean reads.
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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