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The phrase "after compiling data" is correct and usable in written English.
It can be used when referring to the actions or conclusions drawn following the process of gathering and organizing information.
Example: "After compiling data from various sources, we were able to identify key trends in consumer behavior."
Alternatives: "upon gathering data" or "following data collection".
Exact(8)
N.B.A. officials decided to act after compiling data this season that showed the problem had become widespread.
Just 52percentt of the state's 3- and 4-year-olds are enrolled in a pre-k program, and the shortage besets middle-class and poor families alike, researchers found after compiling data from a variety of state and local agencies.
After compiling data from archival sources, questionnaires were developed for state driver licensing authorities to fill in any gaps and to confirm that all other information was correct by typing "OK" after each entry.
After compiling data taken from the National Institute on Money in State Politics, the National Association of Wine Retailers (which filed its own amicus brief arguing against the Tennessee law), determined that alcohol wholesalers contributed over $107 million to state political campaigns between 2007 and 2016.
After compiling data about 'the number of cyberattacks and potential infections, level of Internet access, expenditures on computer hardware and software, wireless hotspots, broadband connectivity, Internet usage and online purchases,' Symantec awarded scores to cities 'on a per-capita basis,' according to the LA Times Blog and Symantec's press release.
were determined from quadruplicate soft agar plates in single experiments or after compiling data from multiple experiments as specified.
Similar(52)
After compiling the data set, we standardized the data using Z-scores; in the final computation to obtain the rankings, the data are then weighted so that they constitute a 5% importance in determining the final 2010 Forbes ranking.
After compiling laboratory data and filled in questionnaires complete data sets could be evaluated from 1,340 subjects.
Later, after the agency had compiled data from shuttle flights, it went back and came up with a very different number.
Year after year security vendors compile data to produce annual reports summarizing the threat landscape from the previous 12 months, and almost without fail the threats increase.
To address the shortage of information and put results of the current survey into perspective, the ITDF made an effort, after the survey was closed, to compile data of the number of centers that administer MRT in the countries from where responses were obtained (Table 5).
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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