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The phrase "by categories" is correct and commonly used in written English.
It is typically used to indicate that something is being organized or divided according to certain categories or criteria. Example: The products in the store were displayed by categories, with the clothing section on the left and the electronics on the right.
Exact(57)
Courses are presented by categories.
These can be organized by categories.
Directory by categories (e.g., People, Departments).
The scores were also analyzed by categories.
"So we need to look at that by categories.
Arranged by categories of social and physical anthropology, and archaeology.
Sort organizations by categories by clicking on the icons above.
Divide chart by categories such as relief aid and deployment of forces.
Similar(3)
Consequently, a further category-by-category breakdown is necessary.
Here are some suggestions arranged by category, with representative examples.
Here they are, by category.
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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