The 4 types of patients we can only distinguish in Lake Wobegon- II
In practice, you cannot use data from a standard RCT to classify patients into these 4 buckets because we only ever observe outcome under placebo, R(0) or outcome under treatment R(1) but never both at the same time.
Always responders and treatment responders can’t be distinguished
Always responders and placebo responders can’t be distinguished.