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The phrase "analysis based on a" is correct and usable in written English.
You can use it when discussing the foundation or methodology of an analysis, indicating that it relies on a specific source or framework.
Example: "The analysis based on a comprehensive review of the literature reveals significant trends in the data."
Alternatives: "analysis derived from a" or "analysis grounded in a".
Exact(60)
The sample's reproducibility was tested applying a statistical analysis based on a one-way analysis of variance (ANOVA) technique.
On the one hand, they carried out a Bayesian analysis based on a set of 29 conserved universal proteins.
Isn't an analysis based on a bipolar world overly simplistic?
The blue line displays the ROC analysis based on a linear combination of the HVLT scores.
Here's what a typical analysis (based on a composite of several studies) for a home electronics product might look like.
Valdes, P.A., Jiménez, J.C., Riera, J., Biscay, R. & Ozaki, T. Nonlinear EEG analysis based on a neural mass model.
The red line displays the ROC analysis, based on a linear combination of auditory dominance and multisensory gain.
Design: Retrospective cost effectiveness analysis based on a prospective placebo-controlled randomised clinical trial.
An extended analysis based on a partition of the statistic into independent components is suggested.
A response surface analysis based on a five levels composite experimental design had been carried out.
Yang, T. et al. CO2 emissions in China's building sector through 2050: a scenario analysis based on a bottom-up model.
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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