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The phrase "a statistical study" is correct and usable in written English.
You can use it when referring to a research project or analysis that involves the collection and interpretation of numerical data.
Example: "The researchers conducted a statistical study to determine the correlation between exercise and mental health."
Alternatives: "a data analysis" or "an empirical research".
Exact(59)
Next, a statistical study of the 5-color palette currently in use is given, followed by conclusions.
We present a statistical study of post-flare-associated CMEs (PFA-CMEs) during the period from 1996 to 2010.
"This is a statistical study," he said.
This was a statistical study, rather than observational science.
These conclusions are based on a statistical study of fund families as a group.
I am about to do a statistical study of sperm banks.
The book is not sociology and it's not a statistical study.
A statistical study by Synergy Sports found that isolation plays—Hero Ball average only.78 points per possession.
We have carried out a statistical study of the He+ density subtrough characteristics.
Results of a statistical study of equatorial noise emissions are presented.
Similar(1)
Nesvorný, D. & Morbidelli, A. Statistical study of the early Solar System's instability with four, five, and six giant planets.
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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