Anyone have a recommendation on a good statistic textbook?
Everything I've tried has been absolutely horrible except for "An Introduction to Error Analysis" by John Taylor (yeah the classical mechanics guy). Unfortunately it's a bit basic...
I'm reading 'Lectures on Probability Theory and Mathematical Statistics' by Marco Taboga. It's a ~600 page book comprised of ~75 lectures on various topics in probability and statistical inference. What I like about it is that the lectures are about key topics and are condensed, so it's basically a refresher on important topics and a reminder that they exist. You can always read the chapter and supplement the reading with wikipedia. Additionally, there are solved practical problems at the end of every chapter so you're not just reading about theory, you need to put it into practice. You can find the .pdf online for free since it started as a web textbook, or you can do as I did and buy a hardcopy on Amazon for like, $12.
Goes over the commonly used methods in science but only explains the intuition behind the method and what you can and cannot expect from the results, drawbacks etc. Written in a very conversational and opinionated style, I enjoyed it.
I find this to be fairly involved but a good follow-up to introductory texts. Casella, George, and Roger L. Berger. Statistical Inference. 2nd ed. Duxbury Advanced Series. Australia ; Pacific Grove, CA: Duxbury/Thomson Learning, 2002.
I have this book, and it's not what I'd call a textbook.
It rarely explains how any of it works (you'd be hard pressed to find the formula for a probability distribution function, for instance), so it's just a one-stop collection for a lot of useful tests and the circumstances under which they should be used.
It's less of a textbook, and more of a reference for someone who needs to occasionally work with statistics and can't remember offhand when the T-test is appropriate or the procedures to undergo for a chi-squared test or whatever.
Everything I've tried has been absolutely horrible except for "An Introduction to Error Analysis" by John Taylor (yeah the classical mechanics guy). Unfortunately it's a bit basic...