I’m a big fan of Andrew’s Gelman blog (http://andrewgelman.com/). I think that my statistical intuition is way much better after reading it. For example, there’s a post about different types of errors in NHST, not limited to the widely known Type I and Type II errors - http://andrewgelman.com/2004/12/29/type_1_type_2_t/. You should read this before continuing because the rest of this post will be based on it, and the article which is linked in that post (http://www.