My last two posts argued that there might be an inverse relationship between shot quality and shot quantity -- or, in other words, between Corsi and shooting percentage (SH%).
Most hockey analysts disagreed with me. Which is fair enough; so far, the only evidence I've really put forward is the negative correlation, the last two years, between Corsi percentage and shooting percentage. In each of the seasons 2011-12 and 2012-13, in even-strength tie-game situations, the team correlation was -0.24. Before that, it was close to zero.
I spent the last week searching for other evidence, and I think I finally found something.
---------
If shooting percentage in tie games is just luck -- or mostly just luck -- you should expect no correlation between shooting percentage this year, and shooting percentage next year. And that's pretty much what you see in the data. From 2007-08 to 2011-12, the team "that-season-to-next-season" correlation was only about 0.03 -- virtually zero. (All "Corsi" numbers in this post are even-strength tie-game situations only.)
Doing the same thing to predict goal percentage from goal percentage (the percentage of goals in your games that are yours), I found a stronger relationship, a correlation of 0.27.
And, as the hockey analytics community has shown, this year's Corsi is even better for predicting next year's goal percentage. That correlation came out to 0.40.
So: Corsi is an excellent predictor, and shooting percentage appears to be just random. So, you'd expect that if you try to predict next year's goals from this year's Corsi, knowing this year's shooting percentage shouldn't be much of a help. Right?
Well, apparently, that's *not* right. I ran that regression, and, surprisingly, shooting percentage was significant, both statistically and practically. The SH% variable had a p-value of .09, and the actual effect was large.
It turned out that every point of shooting percentage was worth 0.83 points of goals next year. So, if the league shooting percentage was 7.5%, but you had 8.5%, then, all things being equal, you should score 50.83% of goals next year.......