Different p-values with same test statistics

[Hans-Anton]

Hi,
when I use the GLOBAL EXPECTED INFLUENCE INVARIANCE TEST and GLOBAL STRENGTH INVARIANCE TEST I get the same test statistic (i.e., S) but different p-values. It makes sense that the S values are the same because the network has only positive edges but the p-values should be the same too or am I missing something?
Thank you for your support!
Kind regards
Anton

GLOBAL EXPECTED INFLUENCE INVARIANCE TEST
Global EI per group: 9.742799 11.83505
Test statistic S: 2.092249
p-value 0.2970297

GLOBAL STRENGTH INVARIANCE TEST
Global strength per group: 9.742799 11.83505
Test statistic S: 2.092249
p-value 0.3861386

attatched is the complete markdown file of my code
Secondary_Analyis_Klipstein.html