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Playoff Tiebreakers
Back when their were only two divisions in the NFL and only the winners of each division met in the championship game, playoff tiebreaker rules were not all that necessary. On the occasions when two teams would tie for a division lead, they would simply push back the date of the league championship game by a week, and have a one-game playoff between the tied teams, and let them settle it on the field. But now, with so many more teams and divisions, vastly different schedules, many more playoff teams, and set schedules for games to occur thanks to television, we can't simply delay the playoffs and have play-in games to break ties.
The first, and only, case of a tiebreaker deciding a playoff spot prior to the AFL-NFL merger was a notable one. In 1967, the Baltimore Colts entered the final week of the regular season at 11-0-2, trying to become the first team to go undefeated since the 1929 Green Bay Packers. However, they had to travel to Los Angeles to face the 10-1-2 Rams, their Coastal Division rival. The Rams won that game, and the tiebreaker, on net points scored in the two head to head matchups, and advanced to the playoffs. The Colts, despite tying for best record in the league, stayed home.
After the merger, the occasional division tiebreaker came into play, but conference tiebreakers were rare because, until 1975, the playoff seeds were determined by a set rotation for home games, and were not based on record. The tiebreakers became far more common once the league went to a seeding system for the conference playoffs, then added a wildcard game in 1978. Using the official tiebreaker explanations contained in The NFL Record and Fact Book, I have recorded every tiebreaker that has been used to determine either a) a division winner, b) finish within a division for potential wildcard spot, c) seeding within a conference among division winners, or d) seeding within a conference among potential wildcard eligible teams. Every potential tiebreaker was recorded with a couple of things in mind. First, all ties within a division are broken before ties are broken across divisions. Second, if a 3-way tie (or more) can be broken affirmatively, that is, by one team winning the tiebreaker outright in a category, then the remaining teams revert to a new tiebreaker, even if the second team was ranked ahead of the third team in that category. Only if the top two teams tie in a tiebreaker and the third does not is it broken negatively, that is, by kicking out the third team and re-running the tiebreaker again with only the top two teams. Third, if, after a 3-way tiebreaker was decided, there were no more available playoff spots, then I did not further break the tie between the remaining teams. Thus, I am only looking at ties that had a material impact on the playoffs, and not those that merely determined division finish for scheduling purposes the following season.
Inspired by this post, where Doug looked at the question of whether head to head was the right tiebreaker for college football by building a model, I wanted to check the various tiebreakers used in the NFL to see which ones actually appear to be better. To do that, I'm going to use both Simple Rating System regular season ratings of the teams (to see how often the "better" team by SRS wins a certain tiebreaker), as well as actual playoff results.
Prior to this season, 116 two team tiebreakers, 19 three team tiebreakers, and two four team tiebreakers have been used to determine a playoff position since 1970. One of the four team tiebreakers was back in the strike-shortened 1982 season; the other was in 2006 when the Giants got the final wildcard at 8-8 over Green Bay, Carolina and Saint Louis. Here are the current NFL tiebreaking procedures. We can now add a tiebreaker for the AFC East between Miami and New England (decided by conference record), for the AFC West between San Diego and Denver (division record), a tiebreaker between the New York Giants and Carolina for the #1 seed (head to head), and between New England and Baltimore for the final wildcard spot in the AFC (conference record).
I'm going to use the following codes to summarize the various tiebreakers that have been used over the years.
H2H= Head to Head Victory
DIV = Better record in divisional games
CNF= Better record in conference games
OPP= Better record in games against common opponents
NPD= Better Net Point Differential in Divisional Games
HPD= Better Net Point Differential in Head to Head Games
NPC= Better Net Point Differential in Conference Games
NPA= Better Net Point Differential in All Games
SOV= Strength of Victory
COL= Fewer Losses by Common Opponents
PRS= Point Rating System
To be honest, I don't even know how the last two tiebreakers were determined, and they don't exist anymore. "COL" was used to determine the NFC Central in 1977 between Minnesota and Chicago, but I can't figure out how the common opponents could have fewer losses for Minnesota, since they are, well, common opponents. And I have no idea what the Point Rating System was, but it was used in 1975 to place Minnesota as the #1 seed ahead of the Los Angeles Rams, in the first year the league seeded the conference teams.
In Divisional tiebreakers, five three way ties have been used. Four were determined affirmatively by head to head record (that is, one team had either a 3-1 or 4-0 record combined against the other two), and one, the AFC East in 2002, was determined in the negative by kicking out Miami based on division record (2-4 versus 4-2 for both the Jets and Patriots). Here is a breakdown of how often each of the remaining tiebreakers were used to break a two way tie between division opponents.
Two Team Division Tiebreakers =================================== H2H 18 DIV 14 CNF 12 NPD 4 OPP 2 HPD 1 COL 1 ===================================
Virtually all the divisional tiebreakers have been decided by either head to head, division record, or conference record, with head to head being the most common.
For conference tiebreakers, we have had the two aforementioned four-team ties, and fourteen three-team tiebreakers, all of which were broken by the conference record tiebreaker (12 affirmatively, and 2 by kicking out the bottom team and reverting to a two team tiebreaker). Here is a breakdown of how often each of the remaining tiebreakers were used to break a two way tie between division opponents.
Two Team Conference Tiebreakers =================================== CNF 27 H2H 24 OPP 12 SOV 2 NPC 1 NET 1 PRS 1 ===================================
Here, we see that the "better conference record" tiebreaker has actually been used more commonly than head to head, and those two tiebreaker steps have resolved 75% of the conference ties. Only record against common opponents has also figured on more than a rare occasion.
Now, let's see which tiebreakers do the best job (as that is defined by both SRS ratings and actual head to head results in the playoffs) of selecting the better team to win the tiebreaker. I'm only going to focus on those that have come up on more than a couple of occasions, and am not including any results from this season, as the playoffs are still to come. I'm limiting it to Head to Head, Conference Record, Division Record, and Record against Common Opponents. Before I get to the results, see if you can guess which ones are better or worse.
Okay, time's up.
This table shows the average SRS rating of the tiebreaker winner, tiebreaker loser, the total number of cases, and then shows how many times, according to SRS, the tiebreaker winner was clearly better (SRS at least 1.51 points higher), roughly equal (SRS rating of both teams within 1.5 points), and clearly worse (SRS at least 1.51 points lower), than the tiebreaker loser.
type Win Lose No. B C W ======================================================================= H2H 4.73 3.99 40 16 13 11 DIV 2.83 2.88 14 4 4 6 CNF 3.36 3.58 37 14 7 16 OPP 2.94 3.13 14 5 5 4 =======================================================================
It came as a surprise to me, at least until I read Doug's earlier post and thought about the rationale, but the actual results from the last forty years show that head to head is about as good a tiebreaker as there is. For all these tiebreakers, it's no surprise that the teams are roughly equal. But the head to head tiebreaker winners are the only ones that are, on average, better than the losers. The remainder appear to be no better than flipping a coin. But that is some theoretical stuff, and whether you accept it or not depends on how you view the SRS as a proxy of who is actually better.
Many times, the tiebreaker loser doesn't make the playoffs, or never gets a chance to settle the actual question on the field. Occasionally, though, a team that loses out on a tiebreaker gets to later go on the road against the other team. We are dealing with small samples, but here are the results (from the point of view of the home team/tiebreaker winner) when two teams meet in the playoffs that had previously been the subject of a playoff seeding tiebreaker:
TYPE W L PCT ========================================== H2H 7 3 0.70 NPD 2 1 0.67 CNF 10 7 0.59 DIV 2 3 0.40 OPP 0 2 0.00 ==========================================
I've added in Net Point Differential in Division Games because three of the four times it was used, the two division opponents went on to meet in the playoffs. Again, Head to Head tiebreaker winners fare better than anyone when playing the tiebreaker opponent in the playoffs. The Common Opponent tiebreaker winner is 0-2 (Pittsburgh losing at home to San Diego in 1982, and Philadelphia losing at home to the Rams in 1989). The Conference Record Tiebreaker teams fare well in the wildcard round, but on the five occasions two teams have faced each other in the Divisional or Championship round and the home team was determined by conference record, the home team has gone 1-4.
So, Doug asked the question "Is head to head the right tiebreaker?" a couple of weeks ago, and at least for the NFL, the answer appears to be "yes". After that, though, the remaining tiebreakers are suspect. The conference tiebreaker sounds right, particularly since we are seeding for conference playoffs. But the thing is, those teams likely did not play the same conference games. With the current imbalanced conference schedules, the only time this tiebreaker would come into play in a two team tiebreaker is when teams are on opposite sides of the conference slate. This one appears to, somewhat more than half the time, reward the team that played the easier schedule.
The Common Opponent tiebreaker needs to go. The only time it comes into play is, again, when teams are on opposite sides of a conference schedule, have tied on overall conference record, and they will thus have five common games. Consider this, team A plays in a division with Powerhouse, team B plays in a division with Cupcake, and team A played Cupcake in the conference schedule, and team B played Powerhouse. If they perform equally in the other two common games, then Team A is at a disadvantage. Both could lose to Powerhouse (Team A twice and Team B once) and beat Cupcake (Team A once and Team B twice), and Team B wins the common opponents tiebreaker.
What should replace it? I know the league is not going to get into a computer formula situation, but why not use some of the important elements of actually determining the quality of a team--namely strength of schedule or overall point differential. I would think that going with either of these would be better than using something like common opponents (which is unfair to the team that plays the better division opponent) or conference games. The league should also consider moving the strength of victory tiebreaker further up the tiebreaker priority list, ahead of some of the others.
This entry was posted on Tuesday, December 30th, 2008 at 2:47 pm and is filed under General, History, Rule Change Proposals. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.

So I started thinking it'd be interesting to see which of two tied teams fared better towards the end of the season, with the idea that it'd be more indicative of their current strength. That seems problematical though since strength of schedule could change radically when you start weighting games or dropping early games.
It'd be interesting to see whether a stronger/weaker SOS at the end of a season has any significance too.
But then I realized I have no idea whether my assumption that teams that finish the regular season strong do better in the playoffs is true. I'm sure somebody has studied it, but I don't recall ever reading anything about it.
I HATE the conference record tiebreaker. In the case of an NFC team, for example, it's worth more to beat the 0-16 Lions than the 13-3 Titans?!? Absolutely ridiculous. I know the NFL would never do it, but I'd like to see point differential and SoS as the first two tiebreakers.
Hell, I wouldn't mind eliminating divisions and conferences altogether and simply having a 32-team field with 12 playoff spots, seeded by record. But I'm probably in the minority on that one.
JKL, do you have the SOS numbers for these teams as well? I'd be curious how often the tiebreaker winner (thanks to H2H) had a harder schedule. I'm still slightly skeptical of using H2H as the tiebreaker, but you've done a great job here of making the case. I suppose if it is often the case that the two teams are 10-6 with one having a hard SOS and one having an easy SOS, and the 10-6 team with the hard SOS wins H2H, then H2H is really just a proxy for SOS. And I'm okay with that. If two teams have the same record but very different SOS, then the one with the harder SOS is the better team and we should have expected them to win H2H against a weaker team.
But I wonder if there are too many chains in that link for that logic to apply.
Chase, I have the SOS numbers separately, but I pulled them for the 23 conference tiebreakers decided by H2H before this season.
You supposition turns out correct more often than not. I set a SOS within +/-0.2 as having an even schedule, and the H2H winner had the harder schedule 12 times, a similar schedule 4 times, and a weaker schedule 7 times.
When SRS said the clearly stronger team advanced on H2H, 7 of 9 times it also sees the team with the stronger schedule advancing (so only twice did the clearly stronger team, thanks to the point differential component, advance with a weaker schedule)
There were only two occasions when a team was seeded on H2H and had both the worst SRS ranking and the worst SOS ranking: 1978, Rams over Dallas in the regular season for the #1 seed, and Dallas avenged that in the champ game by winning 28-0 on the road, and 1996, when Indy got in as a wildcard at 9-7 over Kansas City, and the AFC West was a tougher draw.
Mattie, somewhere in a file I had looked at when the teams to advance to the conf champ game had lost. If I recall, the most losses were in games 1 and 2. The best stretch was from about mid-season to about game 14. But you have to keep in mind if you are looking at streakiness, alot of teams that have gone on to do well have lost near the end of the season when maybe things aren't on the line. Denver started 12-0 in 1998 and finished 2-2, for example. What we could do, though, is look at the teams that are say, from 9-7 to 11-5 and made the playoffs, and see if the distribution of their wins is skewed differently for those that advance and those that do not. My guess is that it would be a mixed bag.
This year a 12-team seeded tournament regardless of division would be:
1. Tennessee (BYE)
2. Pittsburgh (BYE)
3. Indianapolis (BYE)
4. New York Giants (BYE)
5. Carolina
6. Baltimore
7. Atlanta
8. Miami
9. New England
10.Minnesota
11.Philadelphia
12.Chicago
Round 1:
Chicago at Carolina
Philadelphia at Baltimore
Minnesota at Atlanta
New England at Miami
I used H2H as first tiebreaker and strength of schedule as the second tiebreaker.
Darn shame we don't use that system and are unable to watch New England in the playoffs, Richie.
NE vs Mia III would be cool. That would just happen to be a happy accident this year.
If the NFL went to a seeded tournament (which I like), I still haven't seen a regular season division and/or scheduling format that I like. I don't know if keeping the arbitrary divisions is a good idea or not.
The Point Rating System was the lowest combined ranking in Points Scored and Points Allowed in the conference. In 1975, The Vikings were 1st in Points Scored and 2nd in Points Allowed for a combined ranking of 3. The Rams were 5th in Points Scored and 1st in Points Allowed for a combined ranking of 6.
I like divisions, but 8 4 team divisions just about guarantees that at least one division will have no good teams. This year there were 2 bad Wests, and the NFC North almost as bad. 4 divisions seems about right.
A good tiebreaker might be "longest current winning streak", or a similar version of the recent record to weed out the teams that fell apart in the late season & keep the ones that got their act together late.
Richies list make me remember the week 5 talk about how the NFC had turned it around and just dominated the AFC...
That disappeared rather quickly, huh?
Downpuppy,
I very much like "longest current winning streak" as a tiebreaker in theory, but I think SOS issues are likely to make it tough in practice.
I think the common gamnes tiebreaker should not only stay, but be moved up to the top of the list
Seriously, strength of victory would only encourage teams to run up the score Belichick-style and I already see enough of that in college football.
The problem with a 4-division system is that if we kept to 2 games against each division opponent, then 14 games each year would be in division, with only 2 for out of division games.
I like H2H simply because it's clear and fair. Well, mostly fair. In an inter-division game one team would have had home field advantage. At least it's "settled on the field."
I think the point above by Adam about how the current system weights a win over the Lions as more valuable than a win over the Titans for an NFC team is very strong. I'd favor a simple SOV tiebreaker--just total number of wins by all your opponents.
This year, the 3 top AFC East teams all appeared better than they were because they feasted on the NFC West.
Dolfan, the "strength of victory" tiebreaker is not based on margin of victory, it is the W-L-T percentage of only the teams that you beat.
@Richie:
How can Pitt be ahead of NY in your example? NY beat Pitt H2H.
With 4 divisions, games could be 7 division, 4 conference, 5 out of conference, or whatever.
12 playoff spots should be enough that tiebreakers are just deciding which team gets the bye week, or which semi-good team gets to be sacrificed in Week 1. The only reason we're thinking about tiebreakers at all is that 3 good teams went 11-5 & had to face tiebreakers while 4 teams with 8-10 wins got selected.
The other point of putting the last games into the tiebreaker would be to keep more teams paying hard the last week. There will always be teams that quit at the end of the season. It's a fine old tradition that's supposed to send a message to the owners - Get a new coach & GM!
I think Jerry Jones got the message.
All systems that arbitrarily select some subset of games as the tiebreaker seem meaningless. One that seems meaningful is the one listed as NPA, but never used - simply net point differential in all games. If two teams are 10-6 and one is 420-280 in total points and the other is 350-349, what do you think?
If you don't like that, how about strength of schedule? Just add up the records of ALL opponents (counting them twice if you played them twice) and see who had the tougher schedule.
The problem with net points is that the league doesn't like teams to come into the last week knowing they just have to lose by less than N points.
"In 1967, the Baltimore Colts entered the final week of the regular season at 11-0-2, trying to become the first team to go undefeated since the 1929 Green Bay Packers." Factual error here. The '34 and '42 Bears went undefeated in the regular season.
Also, why didn't the NFL use head to head originally? The Giants tied for first with the Redskins in '43 and Cleveland in '50 having beaten both teams both times head to head. Yet, both times lost a tiebreaker game. What was the rationale for not having head to head be the tie breaker?
Out of curiosity, how many times has a division winner had a worse divisional record than the second place team? To me, the concept of winning a division is kind of flawed. Winning the division to me would be having the best record against your divisional opponents. i.e. If you were 11-5 but 3-3 in the division and the second place team was 10-6 but 4-2 in the division, you didn't really win it.
It seems nice not to have New England in the playoffs this year!
Yeah, what Bill M. said!
I think Fewer Losses by Common Opponents (COL) is actually fewer losses by teams lost to amongst common opponents. In 1977 the Bears and Vikings played 8 common opponents: Detroit (2), Green Bay (2), Tampa Bay, St. Louis, Atlanta and LA. They both went 6-2 in those games with both sweeping Detroit, Green Bay and Tampa. The Bears beat LA and the Vikings beat Atlanta. The Wikipedia page for this season (http://en.wikipedia.org/wiki/1977_NFL_season) suggests that the Bears lost the tie breaker 14 to 11, though it does not describe the tie breaker very well. Atlanta and St. Louis were both 7-7, while LA was 10-4. That would mean according to the "fewer losses by teams lost to amongst common opponents" the Bears would have 14 and the Vikings 11.
I am not sure how fair this is since it basically punishes the Bears for beating the Rams. I guess it is a means of measuring "bad losses" but downplays the value of "good wins".