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The phrase "Based on an analysis of" is correct and usable in written English
You can use it when introducing conclusions or findings that are derived from a detailed examination or study of a particular subject. Example: "Based on an analysis of the survey results, we can conclude that customer satisfaction has improved significantly over the past year."
Exact(60)
Based on an analysis of that study, Kantrowitz estimates that one in eight students received private scholarships that academic year.
Based on an analysis of about 100 A.T.M.'s.
Based on an analysis of the vulnerabilities, attackers may determine the optimal phishing strategy.
Based on an analysis of financial statements from privately held firms, these are the fastest-growing industries.
The study found that "elite" firms underperformed lower-ranked ones based on an analysis of 1,400 matters.
The analysis reported above was based on an analysis of one DNA strand only.
The new owner could then set the rents based on an analysis of the rental market.
Churchill's figures are based on an analysis of Motor Insurers Bureau MIBIB) data.
The rating was based on an analysis of quarterly financial statements.
Experts devised seven recommendations based on an analysis of existing research.
This is based on an analysis of risk of both content and format".
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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