THis is simply not true. There is no such thing as a nuisance trip, unless saving your life is a nuisance... Too many people blame these devices which actually detect poor workmanship. Here is a great article to read....
After reading the article found by Chris75, I agree: Too many times I hear of nuisance tripping as an excuse..and everything stops there!
Another reply stated: "Is it nuisance tripping, or is the AFCI just doing its proper job?" BEST TO GO WITH THAT ONE!!!
Go against human nature: Skip the easy convenient excuse that is most likely terribly wrong, and do YOUR proper job in finding the wiring fault that most likely exists. That's the harder choice, but it may save your life and the lives of your family.