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The phrase "analysis based on an" is correct and usable in written English.
You can use it when discussing a type of analysis that relies on a specific source or framework.
Example: "The analysis based on an extensive review of the literature revealed significant trends in the data."
Alternatives: "analysis derived from a" or "analysis grounded in an".
Exact(54)
(An "analysis" based on an event he wasn't at - because he was attending a movie).
Yesterday, he posted on the Daily Telegraph website a piece of political analysis based on an experience he claimed to have had when he woke up laughing from a dream.
Furthermore, a comparison was made with analysis based on an OAT design.
Then the theoretical analysis based on an elastic column model is carried out.
The anisotropic polycrystal is modeled by a Taylor-type texture analysis based on an assumed microstructure of single crystal grains.
The polls wrongly indicated that people would reject the measure, while Gloor's analysis, based on an analysis of social media, correctly predicted it would pass.
Similar(6)
The sample's reproducibility was tested applying a statistical analysis based on a one-way analysis of variance (ANOVA) technique.
An extended analysis based on a partition of the statistic into independent components is suggested.
The bureau's analysis, based on a sample of more than three million households from the American Community Survey data of 2000-3, is the first to examine the data by state.
This requires an analysis based on a literature review.
In [10], a mathematical analysis based on a Lagrangian Relaxation is proposed.
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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