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The phrase "according to data compiled by" is correct and usable in written English.
You can use it when referencing information or findings that have been gathered and organized by a specific source or organization.
Example: "According to data compiled by the World Health Organization, vaccination rates have significantly increased over the past decade."
Alternatives: "based on information gathered by" or "as reported by".
Exact(60)
In 1997, according to data compiled by Mr. Edmonds, Mr. Clinton gave 545 speeches.
The Ryan family still holds 5.9percentt of the shares, according to data compiled by Bloomberg.
After a Thursday slump, Chinese equities were worth $6.09 trillion, according to data compiled by Bloomberg.
This figure has climbed to 64 percent, according to data compiled by Dealogic.
North Americans are more industrious than South Americans, according to data compiled by Mercer, a consultancy.
Analysts on average had estimated $4.81 billion, according to data compiled by Bloomberg.
According to data compiled by Sean Forman of Baseball-Reference.com, his combined on-base and slugging percentages (O.P.S).
They sold 1.48m and 1.4m copies respectively in the United States, according to data compiled by Nielsen.
The most recent decline is the biggest by percentage since at least November 2000, according to data compiled by Bloomberg.
China bought 90% of North Korea's exports in 2013, according to data compiled by South Korea's International Trade Association.
According to data compiled by Bloomberg News, overseas investments by Persian Gulf countries reached a record $75 billion in 2007.
More suggestions(21)
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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