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The phrase "significant statistical difference" is perfectly correct and usable in written English.
It is often used in scientific research to describe the degree of difference between two or more sets of data. For example, a study might find that there is a "significant statistical difference" between the number of satisfied and unsatisfied customers.
Exact(60)
The ANOVA on the post-test revealed that there was significant statistical difference among different formats.
We found no significant statistical difference between the times that the different facilities take to perform this activity (p=0.801).
No significant statistical difference was found in P contents associated with different particle sizes (P > 0.11).
Inertia and contrast displayed a significant statistical difference even at 1% level of significance (p < 0.01).
The Tmax did not reach the significant statistical difference in both formulations for both gamma and delta tocotrienols.
The findings showed a significant statistical difference among the 4 lesions (P <.001).
Clinical effectiveness had significant statistical difference between type 1 and 2 universities (P=. 034).
There was a significant statistical difference between live seedlings and growth of Rhizophora and Avicennia in the two fenced treatments.
ns, no significant statistical difference.
P < 0.05 was considered a significant statistical difference.
Less significant statistical difference is represented (* p = 0.0448).
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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