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Benito comments on Open thread, January 25- February 1 - Less Wrong Discussion
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Repeating my post from the last open thread, for better visibility:
I want to study probability and statistics in a deeper way than the Probability and Statistics course I had to take in the university. The problem is, my mathematical education isn't very good (on the level of Calculus 101). I'm not afraid of math, but so far all the books I could find are either about pure application, with barely any explanations, or they start with a lot of assumptions about my knowledge and introduce reams of unfamiliar notation.
I want a deeper understanding of the basic concepts. Like, mean is an indicator of the central tendency of a sample. Intuitively, it makes sense. But why this particular formula of sum/n? You can apply all kinds of mathematical stuff to the sample. And it's even worse with variance...
Any ideas how to proceed?
I asked a similar question a while back, and I was directed to this book, which I found to be incredibly useful. It is written at an elementary level, has minimal little maths, yet is still technical, and brings across so many central ideas in very clear, Bayesian, terms. It is also on Lukeprog's CSA book recommendations for 'Become Smart Quickly'.
Note: this is the only probability textbook I have read. I've glanced through the openings of others, and they've tended to be above my level. I am sixteen.