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"negative association between" is a correct and usable phrase in written English.
It is typically used to describe a correlation or relationship between two things that is considered to be negative or undesirable. Example: There is a negative association between smoking and lung cancer.
Exact(60)
The negative association between increased anxiety associated with assessment and academic performance is well-established (e.g., Hembree, 1988; Stobart, 2001).
There was a negative association between the microbiome diversity and Helicobacter abundance.
Negative association between changes in plasma omentin and glycated haemoglobin was found in phases I III.
Of those, 25 showed a "significant, negative" association between need for cognition and right-wing orientation.
There was a significant negative association between DMS2 and age at onset.
Emerging evidence suggested a negative association between increased travel distance and mortality after pancreatectomy.
Anxiety levels mediated the negative association between emotional intelligence and emotional eating.
Results: We report a negative association between 5HTR2A receptor gene and BPAD.
There is evidence of a negative association between diabetes and abdominal aortic aneurysm (AAA).
In this case a negative association between vertical curvature and both accidents and fatalities.
Significant negative association between TAG changes and the changes in plasma omentin-1 was found in phases I III.
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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