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Referee Homer Bias

It's tough to be an NHL referee - though the days of being physically attacked by fans and players are history, there's no one else on the ice with no performance upside: either they make the right call (and possibly get booed) or they make the wrong call (and probably get booed).  They will never be able to simultaneously please coaches, players and fans.

But just because everyone on the ice and in the rink has a vested interest in having calls go their way, it doesn't mean that referee performance is identical.  Overall, referees call 6% more penalties against the visiting team, which might reflect home-ice advantage (ie - visiting teams are more likely to give up chances, and thus need to take more penalties) or it may reflect a human bias in officiating.  On top of that, there are additional biases: some refs call a tighter game; some are more likely to penalize the visitors.

I looked at every referee who worked 500+ regular season games since the 1995-96 season and adjusted the penalties they called each game based on the season and the teams that were playing.  The results are below:

 

Games Extra PIMS Away Home Homer Bias
Don Koharski 935 -1.00 -0.26 -0.74 -0.35
Bill McCreary 921 0.10 0.92 -0.82 0.88
Paul Devorski 921 -1.27 -0.57 -0.70 -0.74
Dave Jackson 916 1.51 0.92 0.59 -0.33
Dan Marouelli 901 -0.49 0.02 -0.51 -0.36
Kerry Fraser 899 -0.55 -0.05 -0.49 -0.35
Rob Shick 840 1.31 1.58 -0.28 1.11
Michael McGeough 829 -0.84 -0.20 -0.64 -0.31
Dennis LaRue 805 -1.11 -0.18 -0.94 0.04
Dan O'Halloran 727 -0.10 0.10 -0.20 -0.43
Brad Watson 683 0.49 0.39 0.10 -0.66
Greg Kimmerly 656 -0.57 -0.04 -0.53 -0.41
Mike Leggo 646 -1.38 0.09 -1.47 0.70
Stephen Walkom 631 -2.24 -0.64 -1.60 0.22
Terry Gregson 620 -0.16 0.27 -0.42 -0.14
Tim Peel 584 0.00 0.30 -0.29 -0.22
Kevin Pollock 578 -0.01 0.33 -0.34 -0.10
Brad Meier 577 0.45 1.10 -0.66 0.83
Marc Joannette 572 0.09 0.48 -0.39 -0.04
Rob Martell 545 -1.13 -0.23 -0.90 0.00
Mark Faucette 542 1.93 2.01 -0.08 1.39
Mike Hasenfratz 535 1.28 1.49 -0.21 0.77
Stephane Auger 518 1.60 1.43 0.17 0.39
Kelly Sutherland 514 0.20 0.60 -0.40 0.14
Paul Stewart 508 -2.62 -1.06 -1.56 -0.35
Average

+0.40 -0.43

 

I don't know the reputations of individual referees - I assume they're all hated by someone - but Marc Faucette, Rob Shick and Bill McCreary appear to tilt the most strongly towards the home team.  Overall, penalty totals tilt 0.83 minutes against the away team, and no one favors the visitors anywhere near as much. 

It's important to keep in mind what the impact of this 'homerism' is: if a referee penalizes a visiting team one additional penalty minute per game in a seven-game playoff series (which strikes me as fairly extreme), that's worth 0.7 goals, which tilts the series about 3% to the home team.  Of course, if those additional penalty minutes are all called in overtime of Game 7, the impact is much much larger.

Update: Japer's Rink (or as we call it at SBNation, Jasper's Rink) has a different look at the same data.

Further update: Gooseman did a great job of analyzing this same issue last season.

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That margin strikes me at least as impressively small; considering that some of that effect can be attributed to home-ice advantage in line selection, I’d say the refs are doing a pretty good job overall.

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by Dirk Hoag on Nov 30, 2009 10:08 AM EST reply actions   0 recs

Home-ice advantage is 5%. Some of these referees are adding 3-4% on top of that.

by Hawerchuk on Nov 30, 2009 10:30 AM EST reply actions   0 recs

Can you run the data again and see if certain referees are more likely to make penalty calls than others? And likewise for late in games (the old swallow the whistle trick)?

by JustinM on Nov 30, 2009 4:35 PM EST reply actions   0 recs

I’d be interested to see how refs call against specific teams vs. home and away (though this is pretty cool). Are certain refs biased against certain teams? I bet that would be very revealing, or… not.

by clownfat on Nov 30, 2009 5:20 PM EST reply actions   0 recs

Exactly what I’d love to see.

Personally, I am convinced Steve Kozari has a massive love going for the Canucks, and therefore a hate for anyone they are rivals with. On a more general note, it would be interesting to see if BC refs are biassed towards the Canucks, Ontario refs towards the Leafs and Quebec refs toward the Canadiens.

by Resolute on Nov 30, 2009 8:21 PM EST up reply actions   0 recs

Canucks are 9-9 in Kozari’s games. Canucks outscored their opponents 54-45, though most of the games were in Vancouver. PIMs are 405-363. That’s a little over one extra penalty a game.

by Hawerchuk on Nov 30, 2009 9:25 PM EST up reply actions   0 recs

I would be hesitant to draw any conclusions from 18 games, btw, anymore than you’d draw conclusions from 18 games for a player.

by Hawerchuk on Nov 30, 2009 9:26 PM EST up reply actions   0 recs

That would be quite interesting.
It also sometimes seems refs are biased against particular players (and not just the obvious ones with shady reps).

by Doc Nagel on Nov 30, 2009 6:06 PM EST reply actions   0 recs

Great suggestions! I’ll certainly take another look.

Doc Nagel – I think you might like this piece on who gets hit the most in open ice:

http://www.behindthenethockey.com/2009/10/11/1080678/open-ice-hits

I think people go out of their way to hit Avery and Tucker…

by Hawerchuk on Nov 30, 2009 7:38 PM EST reply actions   0 recs

Data Source?

Hawerchuk -

Interesting stuff. I have two questions:

1 – Where did you get the data
2 – How did you associate a specific penalty with a given ref when there were two working the game?

by Pls- on Dec 1, 2009 10:09 AM EST reply actions   0 recs

It all comes from ESPN boxscores – there’s a line with the ref names and the event totals for the game.

If there were two refs, the penalties were assigned to each of them. J.P. broke it down by 2 vs 1 ref.

by Hawerchuk on Dec 1, 2009 12:06 PM EST up reply actions   0 recs

data source

Don’t know what data source he used, but was probably similar to what I did, which was go through official box scores for the league and parse out the penalties. When I did so last year it:

1) Showed some gross biases by some referees.
2) Showed a league wide bias that increased as the league had attendance issues, that is a bias that indicated scores were being manipulated to improve revenues.
3) Showed that a handful of officials were above it and bucked the trend.
4) Showed that the league pays attention when these stories are published, because within a week media sources in Edmonton, Ottawa and Philadelphia and several bloggers had run with the story, and NHL offices in Toronto and NY had visited the site.
5) After the stories were published, things changed, with the last 1/4 of the season the home advantage being cut in half.
6) There are some referees, especially two very senior referees, that are very good at covering their bias by calling even up penalties at meaningless times so that these statistical investigations hide it.
7) A more meaningful analysis is the one that was period by period which helps isolate #6, and one that I did not publish, it was calls by score. It showed officials who would pad their numbers after the game was decided.

Why would I say the league had anything to do with it? What sells more tickets, the Scruville Weak Sisters of the Poor losing to the Mighty Titans 7-0 at home, or 3-2? What is better for revenues, to have 12 of the 16 playoff spots tied down at Christmas, or 25 teams still alive on April Foolish Fans Day?

If it is worth doing, it is worth doing wrong.

by Gooseman on Dec 1, 2009 1:26 PM EST reply actions   0 recs

Data Based Conclusion Inaccurate

If a visiting team is penalized an additional 0.83 minutes per game which or about 41.5% of a power play, and even a great pp team converting lets say 25% of the time would only be able to net a 0.104 goal series advantage at any point in a 7-game series (following 2-2-1-1-1 format).

This means a team that has played well enough in the regular season (even home and away games) to earn home-ice over another team, is still barely getting help from the refs (not accounting for momentum swings). Even in a low scoring series (all games 2-1 or 3-0) that only goes 5 games (maximum ref impact possible) would only give the team with the home ice less than a 0.73% advantage.

At best your quadrupling the ref’s bias (in a 7-game low-scoring series your off by a factor just below 6).

by LeviSpice on Dec 2, 2009 1:10 PM EST reply actions   0 recs

Not quite. The advantage is 1 minute x 0.1 goal x 4 away games (assume a fair ref in 3 home games and a biased ref in 4.) So it’s 0.4 goals (not 0.7, which assumes impossibly on my part that all seven games were played on the road.) That swings the series 1.5-2%.

by Hawerchuk on Dec 2, 2009 6:50 PM EST up reply actions   0 recs

Still not quite right...

1 minute (which is rounding up) = 1/2 power play
1/2 power play x 25% coversion = .125 goals (or 12.5% chance of scoring)
Home Advantage (4 × 0.125) – Visitor Disadvatage (3 × 0.125) = 0.125
0.125 goals in a series with 3 goals per game or 21 goals = .00595 or 0.6% net affect

You mentioned penalty totals tilting 0.83 against the visitors, (which we rounded up to 1 minute) which multiplied by the power play coversion rate at 25% would mean you would have about a 10% chance of scoring as a result of a call, or 10 advatageous home ice calls would result in a goal, net, across all teams in the league. That means the overall net affect of this could not be felt in one series (only 70% chance that one of the two teams would have capitalized in a 7-game series).

So long and short let’s look at the first round of the playoffs:
8 home teams, 8 away teams ==> net home advantage 0.125 goals x 8 = 1 goal.
1 goal in 120 (3 goals per game) is 0.83% so in terms of goal swing it is negligable.

1 game in terms of 40 is 2.5% so provided this goal actual changes the outcome… and only in this circumstance, the net affect on the league is 2.5% towards home advantage. And we need more data to evaluate that, including negating affects of favorable home-ice rules like face-offs and line changes.

by LeviSpice on Dec 2, 2009 7:39 PM EST up reply actions   0 recs

I honestly can’t follow what you’re saying.

Let’s say we have two 3 goal/game teams (equal O+D). If one team gets penalized 1 extra minute, it will score 2.95 goals and allow 3.1 goals per game. Using Log5, it drops from a neutral-site .500 team to a .451 team (this is pessimistic).

Assume 0.03 home-ice advantage irrespective of the penalty-calling. Then the underdog’s expected winning percentage in a seven-game series is 47.5% vs 49% without the additional penalty.

If by some fluke the underdog is penalized in its road games, but the favorite isn’t in its road games (maybe they’re all on HNIC…I don’t know…) then the underdog’s expected winning percentage is 42.9%.

Log5, as I said, is a bit pessimistic, but an empirical model for head-to-head winning percentage might make these odds 48% and 44%.

by Hawerchuk on Dec 2, 2009 9:28 PM EST up reply actions   0 recs

I think the problem is that you are looking at the one-game home advantage as the determining odds on the scenario, where as I am averaging the affect on the series and I may be a little more focused on goal value. But without a pen and paper at this point, I’m not sure.

How about this (keeping in mind, its early here):

  • 7-game series *
    Team – Expected win percentages with homer bias - Series Win % w/Bias (w/o bias)
    Home = 52.5 + 52.5 + 47.5 + 47.5 + 52.5 + 47.5 + 52.5 = 352.5/7 = 50.4% (50.1%)
    Visitor = 47.5 + 47.5 + 52.5 + 52.5 + 47.5 + 52.5 + 47.5 = 347.5/7 = 49.6% (49.9%)
    -—————————————————————- Homer bias contributes 0.6% to series result.
  • 5-game series *
    Team – Expected win with homer bias – Series Win % w/Bias (w/o Bias)
    Home = 52.5 + 52.5 + 47.5 + 47.5 + 52.5 = 252.5/5 = 50.5 (50.2%)
    Visitor = 47.5 + 47.5 + 52.5 + 52.5 + 47.5 = 247.5/5 = 49.5% (49.8%)
    -—————————————————————- Homer bias contributes 0.6% to series result.

Macro view vs. Micro view perhaps?

by LeviSpice on Dec 3, 2009 8:24 AM EST reply actions   0 recs

I consider all possible series outcomes in a seven-game series – 4, 5, 6 and 7 games.

by Hawerchuk on Dec 3, 2009 2:41 PM EST up reply actions   0 recs

However a 4 or 6 game series has no net bias since equal home and away games are played. Neither team is more or less likely (unless you factor in the bias of the assigned refs) to have gotten an advatage.

by LeviSpice on Dec 4, 2009 11:02 AM EST up reply actions   0 recs

  • 4-game series *
    Home = 52.5 + 52.5 + 47.5 + 47.5 = 200/4 = 50.0% (50%)
    Visitor = 47.5 + 47.5 + 52.5 + 52.5 = 200/4 = 50.0% (50%)
    ————————————————————— Homer bias contributes 0% to series result.
  • 6-game series *
    Home = 52.5 + 52.5 + 47.5 + 47.5 + 52.5 + 47.5 = 300/6 = 50.0% (50%)
    Visitor = 47.5 + 47.5 + 52.5 + 52.5 + 47.5 + 52.5 = 300/6 = 50.0% (50%)
    ————————————————————— Homer bias contributes 0% to series

by LeviSpice on Dec 4, 2009 11:19 AM EST up reply actions   0 recs

We’re looking for worst-case: you have a biased ref when you’re on the road and a fair ref at home.

by Hawerchuk on Dec 4, 2009 1:37 PM EST up reply actions   0 recs

IMO, trying to go to that level is giving both too much and too little credit to the issue, but that is just my opinion. From watching closely I find that the actual effect is more subtle. I would almost always argue against anyone who claims that an individual call effects either a game or a series. The effect of homerism though, to me is less immediate and more long term. I will try to explain briefly.

The actual effect of one extra minute of PP time per game is greater than the number of goals scored during that minute. I do not have them handy, but there have been numbers crunched showing a marked increase in the number of goals scored per minute immediately after a penalty as well. It is almost impossible to measure what effect the disruption to lines, fatigue to defensemen, loss of TOI for skilled players, goaltender fatigue, etc., due to extra time on the PK. No were in the special teams stats do the games with a team going 0-6 on the PP but scoring 3 goals in the 30 seconds after penalties end show up.

Another interesting thing that fell out when people asked me to look at the data in different ways was that for some teams, games were officiated completely differently when they played at home and on the road. I will pick Detroit because their numbers were dramatic. Their numbers was not especially home biased, the for and against numbers were similar withing league averages either way, but the way the games were called was very different. When Detroit was the visiting team, the games were typically a high penalty call rate. In Detroit, games were almost always a low call rate. Detroit has always been very vocal against tighter calling standards, so they have been given exactly what they wanted, at home, penalties were not called on either team. It was not a bias in giving them an advantage of calls, but it sure looked like an advantage in the style of call though.

If it is worth doing, it is worth doing wrong.

by Gooseman on Dec 3, 2009 2:03 PM EST reply actions   0 recs

Here’s what you’re looking for in terms of scoring vs length of time on the PP:

http://www.behindthenethockey.com/2008/12/scoring-probability-vs-length-of-2-man.html

The scoring rate is approximately constant.

by Hawerchuk on Dec 3, 2009 2:42 PM EST up reply actions   0 recs

Gooseman, you are right – but there is also no way to measure the affects of the home-ice rules (line changes, faceoffs, other intangibles) and how these could contribute to penalty calls.

I think we could examine faceoffs to an extent; look at win percentages for home v. away teams and then try to look at penalties that occur within that possession for the winning team of the faceoff. But I am sure there are flaws there too.

by LeviSpice on Dec 4, 2009 11:14 AM EST up reply actions   0 recs

Agree Levi, there are many things that just cannot be measured and all of these numbers are simply looking a trends. They often also confuse cause and effect. When I ran numbers last year, I was working with a number of people with ideas because I did not want to work numbers in a vacuum. It is very easy to grab an idea, and then go out and find data to match that idea. Does a team that get more PP’s win because of an advantage in penalty calls, or do the get an advantage in penalty calls because they are playing better and winning and earn those calls. Cause and effect are easy to reverse and correlation does not even indicate there is a causality. The only reason I stick with some of these is that some of it is back up by not so measurable observations my many others. Others that were talking with me when I was harvesting the numbers gave ideas of different ways to model the data, by score, by period, by division, etc., and when other people also looked at the data in different ways and came to many of the same observations, it leads more credence.

I have no problem saying that in general, in a completely blind officiated game, slightly more calls would be made against the visiting team than home as I would expect home team to win more and a team behind would be prone to take more chances and commit more penalties. The numbers I saw though were much higher than I expected, and that bothered me. What bothered me a lot more was when I broke it down by official, and found for instance one official who 2/3 of the way through the season, had a differential of 33% in favor of the home team, that is for every 3 calls made on the home team, 4 were made on the visitors. What made that one more striking, that official had 21 of his 71 assignments in one division’s home arenas, and 17 of those games were in 3 sites, meaning 3 teams were potentially getting a huge advantage. I am not saying he was favoring those teams, I am saying though that those teams seemed to be getting a very large advantage since his numbers were 3 times league average and I felt the league average was too high.

I was a part of a group that twice did some very heavy reviewing of officials, and understand that none of us would have done the amount of work involved in those efforts without being fans of the game and actually of the referees as well. No one involved did the projects without coming out of it with even more appreciation for the job they do. But we also saw flaws and some of them are big flaws. This is one of the areas that some of us had a problem with.

If it is worth doing, it is worth doing wrong.

by Gooseman on Dec 4, 2009 1:34 PM EST reply actions   0 recs

If some of you are interested in very in-depth reviews of officials, and serious discussion, I would suggest visiting: http://hfboards.com/showthread.php?t=686321

I am not in the group this year due to health and personal issues, but I know these people. They go to extraordinary lengths to be fair and accurate and put a lot of time and effort into this. It is, I think worth a visit.

If it is worth doing, it is worth doing wrong.

by Gooseman on Dec 7, 2009 12:58 PM EST reply actions   0 recs

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