I have four treatments, A, B, C, and D, each containing ~18 breeding pairs. Each pair bred for the same amount of time, and produced 1-7 clutches. Each clutch contained 2-6 offspring. I am trying to compare offspring survival between the treatments using, not surprisingly, survival models.
Based on what I figured out until now, the hazards are not proportional, and an AFT model should work well. My problem is that I am not sure what to do about random effects here. I think I have multilevel nesting (e.g. clutch nested in pair, nested in treatment), but I haven't been able to find a package in R (or am simply coding badly?) that would accommodate a complex frailty or cluster. SAS is even less helpful as far as I can tell (no frailty in Proc Lifereg).
What do you think my best options are for modeling offspring survival in this case? What would be the best way to deal with random effects? What would you do if you were me?
Thanks in advance!