I'm doing Stanford's online Machine Learning class right now, which makes me wonder if these kind of simple statistical methods could be made even more accurate using ML techniques. Of course then you trade off accuracy vs. ease of understanding and/or manual calculation.
The topic and the problems associated with it are probably familiar to many of you already. But I think some may find this review by Freeman Dyson of the book Thinking, Fast and Slow
by Daniel Kahneman interesting.
If you've made it this far read the rest of the review here. There is still some cool stuff after this.