Ah, ok Oscar-- this is actually my area, because of my career, both the MD and PhD in medicine. What you are talking about is levels of evidence, from anecdotal (lowest level) to highly replicated evidence from double blinded, controlled prospective trials, which attempt to remove confounders and determine if two events are definitely associated, then if the association is causal. The kind of thing I was addressing with Hiram in the links he gave for mindfulness.
However, this information was still obtained subjectively. We "know" it only because we have replicated it stringently-- it's not a different type of knowledge.
A baby who drops objects off the high chair over and over is doing the same thing. That's their rudimentary physics experimenting.
Reason is involved in processing the subjective data, for sure. But reason isn't objective either, because it doesn't bring _new_ data in. It's a tool to use when processing data. And it has its own glitches.