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"negatively associated" is a correct and usable phrase in written English.
You might use this phrase when discussing any kind of relationship that carries with it a negative connotation. For example, "The two companies had a negatively associated history."
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Parasitaemia was negatively associated to bush cover.
E2 was negatively associated with LVM.
Our study demonstrates that sVEGFR1 levels are negatively associated with total cholesterol (TC) and LDL.
Publication year was consistently negatively associated to outcomes, though reasons for this trend remained unclear.
In contrast, IGF-IR LI was negatively associated with cancer-specific survival (P=0.046).
Meanwhile, the fingertip synchrony increase was negatively associated with individual social anxiety level.
Power continued to be negatively associated with Honesty-Humility, (r s (18) = −0.47, p = 0.039).
Pain Willingness was negatively associated with pain catastrophizing.
Finally, FIW was negatively associated with life satisfaction.
Commute distance was negatively associated with TPA behaviors.
Activity Engagement was negatively associated with depressive symptoms.
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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