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"a statistical significance" is a correct and usable phrase in written English.
You can use this phrase when describing a result that has been measured with a high degree of accuracy. For example, "The results of the study showed a statistical significance in the correlation between exercise and health."
Exact(60)
Allelic comparison that yielded a statistical significance of ≤0.05 was considered significant.
A statistical significance level of 0.05 was considered significant.
Significant transformations were defined as those with a statistical significance of at least p <0.05.
A confidence level of p < 0.05 implies a statistical significance between the groups.
Physicists can only claim a bona fide discovery once their signals reach a statistical significance of five sigma.
CYP2B6 mRNA level was also induced by a 2.5-fold factor, without however reaching a statistical significance.
Furthermore, we obtained evidence for the µ+µ− decay with a statistical significance of three standard deviations.
The paper also reports on a statistical significance test concerning the results.
And with so much data in every category, there is a statistical significance.
Unoptimized estimators yield a statistical significance for a modulation of ∼2.8σ, limited by the short exposure.
There was a statistical significance in the age difference of both groups of patients (P = 0.00024).
More suggestions(15)
a statistical purpose
a statistical range
a statistical concern
a statistical profile
a statistical dimension
a statistical influence
a statistical degree
a statistical bearing
a statistical weight
a national significance
a statistical certainty
a statistical accounting
a statistical blip
a statistical fact
a statistical artifact
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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