So I'm an Internal Medicine Resident with an interest in mathematics and I have a BS in physics and MS in math. Lately I've been getting more into the statistical interpretation of diagnostic test, signs, and symptoms and the application to clinical reasoning. I would like to have a better fundamental understanding of how it affects clinical reasoning. I understand a little of probability through the lens of quantum mechanics, however I haven't really studied higher level statistics as I mostly focused on geometry/topology.
So essentially my question is what would be some good intermediate level resources/books on probability theory? I think ideally it would be something with an applied bent as well, and maybe some exposure to decision theory.
Thanks!
This may be helpful at the level of presentation you want, with lots of worked examples in Python also.
https://link.springer.com/book/10.1007/978-3-030-18545-9