SAT is Corsi, USAT is Fenwick.
I have one question that's confusing me looking at the stats. The SAT Rel says it's a players shots-his team's shots when he's not on the ice, so how does a player like Nic Deslauriers have a 712? I'm sure I'm missing something fairly obvious but that one sticks out for me.
EDIT: Are they just using absolute values?
SATrel is players SAT (not shots nor SAT-for) minus team SAT while player is not on the ice. Players SAT is "shot attempts for minus shot attempts against while player is on the ice". It is worded very badly in the rollover description of SATrel.
I came here looking for a discussion on this because SATrel doesn't seem to be a very useful stat as NHL.com is presenting it. It needs to be at least normalized to a per minute/per 20/per 60 basis.
If you assume a team like the sabres who are always negative SAT give up SAT against at a pretty consistent rate, then someone who plays 15 minutes is obviously going to have a less bad SAT than the team the rest of the 45 minutes he's not on the ice. In the case of the sabres, you have players with +719 SATrel because Nic deslauriers is only a -317 SAT, while the Sabres must have a -1036 SAT when Nic is not on the ice.
On the flip side, a team that has a strong positive SAT, a player who plays 15 minutes and has a positive SAT is obviously still going to have a less good SAT than the rest of the team in the other 45 minutes. So good possession players can have a negative SATrel. All but 2 players on the Kings have a negative SATrel for example, despite the fact the Kings are the best in the league in SAT. Kopitar has a +226 SAT, yet is a -25 SATrel. That means in the ~40mins/game that Kopitar is not on the ice, the Kings have managed to be +251. In other words, the Kings generate shot attempts nearly twice as often when Kopitar is on the ice vs. when he's off, which is really an amazingly positive stat, yet shows up as a negative when dealing with the absolute numbers not corrected for TOI.
So SATrel as presented by NHL.com is worse than a useless stat. Its incredibly misleasing. I do find it amusing that Nic Deslauriers has the best SATrel in the league, tho