Thats not what I asked.

The final plot on this page has that * (ns) annotation:

• https://levelup.gitconnected.com/statistics-on-seaborn-plots-with-statannotations-2bfce0394c00

Perhaps you can track down the author and ask him what it means.

It could be the case that the result might be significant in the case of a single-tailed test but not significant in the case of a two-tailed test.

Here is another guess. In the page I linked to above (https://levelup.gitconnected.com/statistics-on-seaborn-plots-with-statannotations-2bfce0394c00), the graph showing the * (ns) annotation is in a section with this heading:

Correcting for multiple testing

So I reckon * (ns) means it is statistically significant if you do not correct for multiplicity, and not statistically significant if you do correct for multiplicity.

Oh, the documentation isn't clear ? /s

Here ( https://statannotations.readthedocs.io/en/latest/statannotations.html ) , it says,

correction_format: How to format the star notation on the plot when the multiple comparisons correction method removes the significance * default: a ‘ (ns)’ suffix is added, such as in printed output, corresponds to “{star} ({suffix})” * replace: the original star value is replaced with ‘ns’ corresponds to “{suffix}” * a custom formatting string using “{star}” for the original pvalue and ‘{suffix}’ for ‘ns’

That doesn't clear it up ? /s

I'm being sarcastic. But I think that's actually the answer. But I'm not sure exactly what that means. But assume it means what @Bruce Weaver said.