Hi,
I am running the Cox model with random effect (simple random effect of study site) as follows:
proc phreg data=mydata;
class study fixed_covariate;
model time*cnsr(1) = fixed_covariate;
random study / solution;
hazardratio fixed_covariate/diff=ref;
run;
As part of results I got Type 3 Anova model table:

I understand that fixed_covariate has no effect on survival, but may I say that there is a significant difference between study sites on survival? What does this adjusted p-value for random effect stand for?
Thanks for any advice.