That suggests something strange though – that those who were invited but non-tested were more likely to die of colon cancer than non-invitie non-testers.
I suppose that by refusing to get a colonoscopy even when specifically prompted to do so, you're maybe sorting yourself into a more "unhealthy" group than the general population of non-colonoscopy-havers.
It would be unethical to refuse to invite someone with a family history of colon cancer. Thus I think it is perfectly reasonable to assume there is something different.