In spite of an unwelcome attack of my old buddy insomnia last night, and then a doubly unwelcome attack of the feline-that-must-be-fed-NOW, the exam went well. I've been pointlessly torturing myself over whether 'litter' really is a fixed effect (it might be random), but otherwise, no real issues. I managed to get the code into SAS, which obliged by spitting out almost comprehensible output, and that's more than I was hoping for.