I have a typical Survival analysis data-set - patients progressing through various stages of Alzheimer's Disease over 8 years of time, with some covariates, plenty of censored records.
However, I'm trying to ask a different question, that is somewhat sideways to Survival analysis. I'd like to take the group of patients that progressed (event) and those who did not (no event) and compare them against one another at a certain point in time, taking the censoring into account.
Perhaps I just can't get my head around this, but it doesn't seem to me that Cox Proportional Hazards or Accelerated Failure Time models can do that. Any advice, please?