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'cross-sectional design' is correct and usable in written English.
It is typically used when discussing research methodology in a scientific context. For example: "This study used a cross-sectional design to evaluate the effectiveness of the intervention."
Exact(56)
Descriptive cross-sectional design.
Design: Observational cross-sectional design.
This study had a cross-sectional design.
A descriptive, cross-sectional design was used.
A correlational, cross-sectional design was adopted.
Design: A cross-sectional design was used.
All studies adopted cross-sectional design.
Similar(4)
Our investigation used a cross sectional design.
A multicenter cross sectional design was conducted.
This is a cross sectional design study.
The cross sectional design of the study.
More suggestions(1)
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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