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The phrase 'statistically significant differences' is correct and usable in written English.
It is typically used to describe differences between groups that are so large that they are unlikely to have occurred by chance alone. For example: "The results of the study showed statistically significant differences in participant responses to both experimental treatments."
Exact(60)
Different letters represent statistically significant differences.
Different letters indicate statistically significant differences.
There were also statistically significant differences in the severity of symptoms.
*No statistically significant differences.
Statistically significant differences are demonstrated.
There were otherwise no statistically significant differences.
No other statistically significant differences were observed.
No other statistically significant differences were demonstrated.
P < 0.05 was considered statistically significant differences.
No statistically significant differences were detected.
P < 0.05 indicated statistically significant differences.
More suggestions(15)
statistically substantial differences
markedly significant differences
results significant differences
findings significant differences
outcomes significant differences
statistically significance differences
variables significant differences
increase significant differences
statistically significant patterns
statistically insignificant differences
statistically meaningful differences
statistically nonsignificant differences
statistically significant effects
statistically significant gains
statistics significant differences
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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