I've estimated 2 models on simulated data and basically replicate the estimations 100 times. What I want to see is if the models are actually different in terms of their MSE. What I've done is to keep the MSE1 and MSE2 (for model 1 and 2) for each one of the 100 simulations, and I was thinking of comparing the mean MSE (I am not sure if this is actually the correct way of doing it). Anyway I don't think I can apply a t-test due to the fact that the variables MSE1 and MSE2 are not part of a normal population (actually they look like a sort of $\chi^2$) because it's truncated ,no negative MSE are allowed.
Should I apply a $t$ test (isn't normality of observations an assumption of this test?) or is there any other method I can use to compare the both models? Thanks in advance.