I am a soon-to-be physician. During my studies I have taken a class in biostatistics. I own Martin Bland's "An introduction to medical statistics", which was a required textbooks at the time, and Harvey Motulsky's "Intuitive biostatistics", which I've purchased on my own initiative based on positive reviews on Amazon. They served me well, but I'm interested in clinical research and I feel that I need to stop scratching the surface and delve deeper to understand statistics.
I'm looking for one or more textbooks I can use to self study. Ideally the textbook(s) should go beyond the basics, and explain modern statical techniques used in biomedical research (e.g reading these forums I've seen a lot of mentions of bayesian statistics, which seems to be the Next Big Thing). If possible, it should feature examples, and not assume a particular statistical package (unless it is R, that is the software I use).
I should probably mentions that my math skills are... rusty. So feel free to list the kind of math skills required to understand the book(s) you are suggesting.