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Saturday, December 31, 2011

Compassionate Referee

By Tangotiger, 05:59 PM

We know the theory in baseball that if the umpire calls a close pitch for one team, he may try to even it up for the opposing team on the next close pitch.  Hence, the theory of the compassionate umpire.

In hockey, there’s a similar theory, which is commonly accepted, that a referee will try to even-up the penalties.  Indeed, teams get mighty upset if they would end up with say 4 fewer power play opportunities than its opponent, because they can’t believe their team would play that much stupider than their opponent.

Phil shows that when a team gets a penalty called, the previous penalty was called 60% of the time for the opposing team.  Furthermore, the longer the time since the last penalty, the less this bias exists.

Fascinating stuff. 

I’d like to see one more breakdown: did the team score on the power play (or the penalty kill)?  Because you would think that if you had a compassionate referee, he would be even more compassionate if the penalty he called led to a goal (and maybe less compassionate if it was a short-handed goal, because, after all, it didn’t “hurt” the penalized team).

So, Phil, can you give us breakdown on whether a PP, PK, or no goal?


#1          (see all posts) 2011/12/31 (Sat) @ 19:30

Will do!  Probably not tonight, though.  Happy New Year!


#2          (see all posts) 2012/01/03 (Tue) @ 11:27

Done!  New post up.



#4    JD      (see all posts) 2012/01/03 (Tue) @ 14:35

Only had time to get through about half of Phil’s new post, but I’m curious about why winning teams take more penalties. This seems counterintuitive. Winning teams have to take fewer chances, fewer risky plays, and a winning team is often winning because they’re better (and it seems reasonable to assume better teams commit fewer penalties than lesser teams).


#5    Tangotiger      (see all posts) 2012/01/03 (Tue) @ 17:40

Leading teams don’t TAKE more penalties (necessarily).  More penalties are CALLED on the leading teams.  That’s the only point of fact there is.


#6    erik      (see all posts) 2012/01/04 (Wed) @ 15:17

I wonder how this works as the quality of refs decreases (i.e., do collegiate/juniors/amateur refs show this bias more?).  You’d have to compensate for what’s presumably a larger skill disparity in player talent on lower-level teams though…

I played hockey through high school, and I really think I have memories of refs explicitly telling us that there would be/was a make-up call.  I wonder if as refs get worse, they have more errors to make up for.

Nice piece, Phil.


#7    Tangotiger      (see all posts) 2012/01/06 (Fri) @ 14:14

Phil gives us the regression equation:

http://sabermetricresearch.blogspot.com/2012/01/do-nhl-referees-call-make-up-penalties_06.html

The key point is when the score is tied.  If it’s a tie game, the next penalty called is against the home team ___ often, if the previous penalty was against ___:

35%, if previous against home team
61%, if previous against visiting team

That is one huge even-up effect.

Now, whether it’s the compassionate referee, or the teams play more careful, or everyone is aware of the differing standards, who knows.

But, there is an even-up effect for SOME non-random reason.


#8    Tangotiger      (see all posts) 2012/01/06 (Fri) @ 14:57

Or to put it more clearly, in a tie game, the team that gets the next penalty will have gotten the previous penalty only 37% of the time.  63% of the time, the penalty called will have been an “evened-up” call.

We’ve all know that the even-up effect exists (again, we don’t know if it’s the ref, the style of play, or an understanding that the implicit rules have changed).

What is a huge finding here is to have it quantified finally.


#9          (see all posts) 2012/01/06 (Fri) @ 15:02

It must be something real ... it’s so big compared to the other effects, like PP goal and home/road.  The only thing that competes with it is score.

Still, having taken the last penalty is even bigger an effect as going from 3 goals down to 3 goals up.

Maybe I should check my programming again ...


#10    Michael K      (see all posts) 2012/01/06 (Fri) @ 15:39

How hard would it be to compare the rates by referee?

If we’re only looking at pre-1998, then at least we don’t need to worry about referee pairings.


#11          (see all posts) 2012/01/06 (Fri) @ 15:41

Did that in the first post.


#12    Tangotiger      (see all posts) 2012/01/06 (Fri) @ 16:17

It’s definitely SOMEthing real.  Now we have to figure out WHAT it is, be it:
a. compassionate referee
b. previously penalized team being more careful
c. team not previously penalized being more aggressive

Or any combination of the above.


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