Introducing Fat Stats

One more model sneaks in ahead of the season! It’s Fat Stats, with a machine learning-based player metric model incorporating Elo.

That brings the number of new models to four, and the total field to 16 this year, including Punters, which is our aggregate of bookies.

That’s a lot of models! It’s double the number from only two years ago, and many (most?) are now player-aware, which means they take into account who’s actually taking the field each week, rather than modeling teams as a single entity.

Rise of the Machines

Squiggle will track two new machine learning AFL models in 2019: one from AFL Gains and another from AFL Lab.

I believe these are the first public models to lay claim to a machine learning heritage, so this is a good opportunity to see how they go in action, at least until the inevitable robopocalypse when they destroy us all.

In related news, most of 2018’s models are already up and running for the new year, including Massey Ratings, Swinburne University and reigning champ Live Ladders!

It’s 2019!

Here is a January 1 ladder prediction:

WINS
1.RICHMOND14.8
2.MELBOURNE14.8
3.GWS14.3
4.WEST COAST14.1
5.GEELONG13.6
6.COLLINGWOOD13.2
7.ESSENDON13.0
8.ADELAIDE12.8
9.Hawthorn11.9
10.Port Adelaide11.6
11.North Melbourne10.6
12.Brisbane9.5
13.St Kilda9.5
14.Western Bulldogs8.7
15.Sydney8.3
16.Fremantle7.3
17.Carlton4.8
18.Gold Coast3.6

Some notes:

  • Teams are ranked by average wins from 100,000 simulated seasons.
  • Unlike a regular ladder, it doesn’t round off wins to whole numbers and tie-break on percentage. That’s why it’s different to the quick-and-dirty Live Squiggle Ladder Predictor you may see on the right. This way is better.
  • That said! Historically, season-long predictions aren’t much more accurate than tipping everyone to win the same number as games as they did last year. So, you know.
  • This takes into account off-season list changes.
  • Predictions will continue to evolve as Squiggle is able to factor in pre-season results, major off-season injuries, and Round 1 team selections.
  • Sydney are that low because they tailed off badly in 2018 despite being able to put out something close to a full-strength team most weeks, and did not significantly bolster their team in the trading period.

How the Fixture Screwed St Kilda

It’s hard to prove the fixture affects any team’s finishing position. To say that, you need to find games that were so close that the result could easily have been different, and establish that they were scheduled in a lopsided way.

The only really clear examples of this tend to be self-inflicted wounds, where a club sells a home game and loses it narrowly — such as Richmond’s famous after-the-siren loss in Cairns to the Gold Coast in 2012, or St Kilda’s 3-point defeat by Brisbane in New Zealand in 2014.

These cases are nice and clear: Computer modeling can tell us with a high degree of certainty that Richmond’s home ground advantage at the M.C.G. is worth more than 2 points, and therefore they should have won the game if it had been played there. Likewise, St Kilda should have defeated Brisbane if they’d stuck to their regular home ground in the Docklands. Of course, you can point to many things that could have changed a close result, but one of them is the venue.

Otherwise, though, the picture is muddier. You can establish that a team had a favourable fixture — weaker opponents than average, or games at friendlier venues — but you can’t really say it was worth a certain number of wins. When Fremantle played Gold Coast “away” in Perth this year, due to the unavailability of Carrara, that was certainly unbalanced fixturing… but the Dockers won the game by 28 points, so would the result have been different in Queensland? Modeling suggests probably not.

However, you can say one thing for sure: St Kilda got screwed.

St Kilda (2018)
Net Benefit from Fixture: -123 points (ranked 18th)
Opposition: 18th Timing: 12th Home Ground Advantage: 18th

St Kilda is no stranger to scheduling screwings. It had the AFL’s worst fixture in 2014, the worst in 2015, the 9th best in 2016, and the worst in 2017. This year, it was the worst again, and that was also the worst fixture of any team in five years.

This analysis rests on three key factors: who you play (Opposition), when you play them (Timing), and where you play (HGA).

(Two factors that come up sometimes in these kinds of discussions, and which aren’t included because they don’t matter, are Six-Day Breaks and The Cumulative Effect of Travel. There is more on these at the end of the article.)

Opposition

The simplest factor is the strength of opposition. All clubs face each other at least once, of course, and the AFL attempts to equalize the competition by ensuring that Bottom 6 teams have no more than one double-up game against a Top 6 opponent.

This is fine in theory, but since this year’s performance isn’t a reliable guide to next year, it often works out less well in practice.

St Kilda was a Middle 6 team in 2017, finishing 11th. They were duly given a 2/2/1 split of double-up games: That’s two matches against Top 6 opponents, two against Middle 6 opponents, and one against a Bottom 6 opponent.

This was already a touch on the mean side, since two other Middle 6 teams were assigned the more favourable 1/2/2 split.

But the Saints’ real misfortune came from how its double-up opponents — Richmond, GWS, Melbourne, Hawthorn, and North Melbourne — performed unexpectedly well. This turned their 2/2/1 split into 4/1/0: four double-up games against this year’s Top 6, one against the Middle 6, and none against the Bottom 6.

And that put the Saints into a whopping 95-point hole for the season.

You can also see that in practice there isn’t a whole lot of equalization going on here. Many of 2017’s stronger teams had weaker than average double-up opponents (Melbourne, Port Adelaide, GWS, Hawthorn, Richmond), while many of last year’s lower teams faced harder than average opposition (Gold Coast, Brisbane, Fremantle, Western Bulldogs, St Kilda).

At least North Melbourne, the recipient of this year’s most beatable opponents, had a generous fixture by design. After finishing 15th in 2017, the Kangaroos were given a 1/2/2 split, which turned out to be 0/1/4, with repeat games against Brisbane, Gold Coast, Western Bulldogs, St Kilda, and Sydney.

Timing

There’s a problem with considering strength of opposition like this: It assumes that teams are equally strong all season long. That’s clearly not the case. Team strength fluctuates both on a weekly basis, as star players get injured and miss games, and over the medium- and long-term, as a club gets stronger or weaker for any number of reasons: fundamental gameplan changes (Essendon), or deciding the season is lost and looking to the future (Carlton), ramping up toward finals (West Coast, Melbourne), or simply having the wheels fall off from no discernible cause (Port Adelaide).

Each club will happen to play some opponents around their weakest point and meet others near their peak. Lucky clubs will meet more opponents at times of relative weakness; unlucky clubs will run into more at times of relative strength. It should average out, but doesn’t always. And since team form can rise and fall quite a lot, it can make a real difference.

After a stirring Round 1 victory over Adelaide, the Bombers lurched from one unconvincing performance to another, culminating in their Round 8 defeat at the hands of Carlton. This led to a very public dissection, staff changes, and a very different looking team for the remainder of the season.

As such, it was quite a lot better to face Essendon early in the year. In fact, it’s possible to identify the worst possible time to play Essendon: Round 21. This is when the Bombers were performing well as a team, but just before they lost Orazio Fantasia (Round 22) and Tom Bellchambers (Round 23). As it happened, the team they played in Round 21 was St Kilda.

(Note: This is a naive rating, which means it rates the apparent strength of a team each round before they played, in order that it remain uncontaminated by the performance of the team they played against. It means there’s often a real difference between how beatable a team appeared to be and how they performed on the day. Essendon provide a fine example of this, too, in Round 9, when, after looking abysmal against the Blues and then losing Hurley and Parish, they upset Geelong.)

In truth, though, St Kilda weren’t particularly screwed by timing; not this year. They rank around the middle of the league on that metric, receiving a mix of good luck (Geelong and North Melbourne early in the season) and bad (Adelaide early, Essendon and Hawthorn late).

The worst timing belongs to Fremantle, who managed to encounter a string of opponents near their peak: Collingwood (round 23), Hawthorn (round 19), Essendon (round 18), Port Adelaide (round 17), Sydney (round 9), Carlton (round 13), and Gold Coast (round 3).

The Blues had the most fortunate timing, thanks to repeatedly running into teams who were losing key players to injury — although perhaps this is less to do with good fortune than their opponents seizing the opportunity to rest players. The Blues also had early-season games against teams who would dominate the season later: West Coast, Collingwood, Richmond, and Melbourne.

Home Ground Advantage

But back to the screwing. In theory, home ground avantage (HGA) is balanced: every team receives roughly the same advantage from its home games that it must face in its away games.

West Coast, for example, play ten home games against opponents traveling from interstate, and ten games to which they must travel, plus two local derbies. There’s no real HGA in a derby, and the benefit the Eagles receive from playing interstate sides at home is neatly counter-balanced by the penalty of traveling interstate to play away.

A Melbourne-based team such as Collingwood, by contrast, plays many games against other local opponents at relatively neutral venues in the M.C.G. and Docklands while hosting interstate sides about five times and traveling away about the same number.

Either way, the net benefit is roughly zero.

But there are exceptions. Sometimes teams give up a home venue they’re entitled to, such as Melbourne playing in the Northern Territory. Hawthorn and North Melbourne occasionally drag a Melbourne-based team to Tasmania, creating more venue-based advantage than there would otherwise be. And occasionally there are weird situations like the Commonwealth Games depriving Gold Coast of a home ground, sending the Suns to play a home game against Fremantle in Perth.

Also, sometimes a team is given unbalanced travel.

Now, HGA is hard to define, and various models use different methods. You can get a reasonable approximation simply by assigning 10 or 12 points of HGA whenever a team hosts an opponent visiting from out of state. A more sophisticated, but also more fragile, strategy is to attempt to divine particular teams’ affinity for particular venues from the historical record of how they under- or over-perform there.

I employ something in between, which is essentially a Ground Familiarity model. This awards HGA based on how familiar a team is with the venue and location; in practice, it serves as a proxy for an array of factors that probably comprise HGA in the real world, including crowd noise, travel time, and psychological disruption.

There’s a fair argument that Sydney wasn’t actually the second-most HGA advantaged team this year, because Sydney didn’t play its home ground very well. Similarly, many believe that Richmond received more advantage from M.C.G. games this year than the average M.C.G. tenant. Such ideas are popular, but tend to be transient and based on few data points. For example, for me, Richmond’s much-discussed four interstate losses are more easily explained by the fact that those were its four hardest games. So there is no attempt here to model that kind of theory.

Then again, a Ground Familiarity model has quirks of its own. Much of the reason Sydney scores well on this measure is that the Swans played 18 matches at just three grounds: the S.C.G., the M.C.G., and Docklands. They traveled to Western Australia just once and South Australia not at all. This means the Swans frequently play away at grounds they’re reasonably familiar with, while their opponents don’t have the same experience at the S.C.G.

This small but persistent imbalance affects Docklands tenants in reverse: They are almost always less familiar with their opponents’ home grounds than their opponents are with theirs. For example, the Saints are relatively familiar with Perth for a Victorian team, being dispatched there at least once a year, and four times in the last two years. But when they last met the Eagles in Melbourne, that was the Eagles’ fifth trip to Docklands that year alone. The venue still offered St Kilda an advantage (especially compared to Perth), but it was a little less than it might have been.

Therefore, under a Ground Familiarity model, being based at the Docklands is the worst option. You probably don’t even get to play home finals there.

But the real culprit behind St Kilda’s poor rating on home advantage is their persistent travel imbalance:

St Kilda’s Games vs Non-Melbourne Opponents

Year Home Away Difference
2014 5 7 -2
2015 5 7 -2
2016 5 6 -1
2017 6 6 0
2018 4 7 -3
Average 5.0 6.6 -1.6

Having to travel to your opponents more often than they travel to you is a clear source of home ground advantage disparity. This is rare for non-Victorian teams, who almost always have a 10/2/10 split, but common for those in Melbourne: They will often benefit a little more or a little less from travel than their opponents. For the Saints, almost every year, it’s less.

This year’s version was the most extreme yet. St Kilda enjoyed home advantage from hosting travelling teams only four times (Brisbane, Sydney, GWS, and Adelaide), while facing disadvantage from travelling interstate five times (GWS, West Coast, Port Adelaide, Fremantle, and Gold Coast), as well as having to visit Geelong at Kardinia Park (with no return home match), and Hawthorn in Tasmania.

The Saints have actually been sent to play North Melbourne or Hawthorn in Tasmania for five years in a row now, each time turning what would be a neutral game at Docklands or the M.C.G. into one where the venue favours the opposition.

Three extra games of significant disadvantage is quite a lot. The ratio is eyebrow-raising, too; the equivalent of a non-Victorian team playing 8 home games and 14 away.

Sooner or later, the law of averages will ensure that St Kilda get lucky with their double-up opponents, or else their timing. But their unbalanced travel is an enduring, deliberately fixed anchor. It ensures that whenever fortune smiles on the Saints, it’s more of a smirk.

St Kilda’s Fixture: A History

Year Fixture Rank Oppo Timing HGA
2014 18th 12th 11th 18th
2015 18th 12th 17th 18th
2016 9th 2nd 10th 14th
2017 18th 13th 16th 14th
2018 18th 18th 12th 18th

Continue reading “How the Fixture Screwed St Kilda”

Models Leaderboard: Winners 2018

Congratulations to Darren O’Shaughnessy at AFL Live Ladders for topping the 2018 Squiggle computer models leaderboard with 147 tips!

147 was a popular number: That’s also the number of correct tips recorded by Punters (an average of many bookies’ closing lines) and Aggregate (an average of models in the competition). I noticed The Roar’s “The Crowd” scored 147, too.

That’s a good showing, and one that demonstrates, I think, a real “wisdom of crowds” effect, where the average tip is smarter than most of the individual tipsters it’s averaging. There was a lot of variation between models across the three tracked metrics (correct tips, Bits, and Mean Average Error), but Aggregate finished near the top on all of them. In fact, had it not been for one wild model tip in the West Coast v Melbourne prelim, Aggregrate would have finished clear on top with 148.

Models leaderboard: Click for interactive table

Massey Rankings, new to the Squiggle leaderboard in 2018, had a great year, correctly tipping the Grand Final to equal AFL Live Ladders on 147 tips. (We tie-break on Bits.)

In terms of MAE, AFL Live Ladders was #1 here, too, with a delightful 26.55 for the season, narrowly beating out Matter of Stats (26.61) and Aggregate (26.63).

On Bits, Squiggle was the best computer model with 39.27, although was narrowly pipped by Punters (39.76) overall.

Tony Corke at Matter of Stats had a year that demonstrates why the number of correct tips is a noisy metric, jostling for top spot on MAE and Bits but coming dead last in tips. This was never more evident than in Round 20, where Matter of Stats got the wrong end of all four of Super Saturday’s 50/50 games. Sometimes football is a harsh mistress.

HPN’s new model PERT provided tons of contrarian excitement, being the only one to tip 9/9 more than once — it did it three times — and finishing a solitary tip behind the leaders. This came about despite blowouts in MAE and Bits, so it will be interesting to see how it backs up in 2019.

Stattraction, also new this year, stumbled early, then made an extraordinary 24/27 run to close out the home & away season.

plusSixOne recorded the most correct finals tips with 7, including the Grand Final. It also finished only 1 behind the leaders for the year, along with Footy Maths Institute, who fought a highly entertaining running battle for outright leadership that came unstuck only in the finals.

Click for interactive chart

Heartfelt thanks to all the model authors — as well as those I’ve named, there’s also The Arc, Graft, and Swinburne University — who allow me to aggregate their tips! They do fantastic work and I hope that a comp like this means more people get to see it.

I also hope this site is useful to model builders out there who just enjoy playing around with footy numbers and want to know how their tips compare. (See: the Squiggle API.)

And thank you to the regular human visitors, who just like to keep an eye on what the models are saying.

The off-season is time for model tuning, so I hope our current crop will be back in 2019 with new and improved engines! I’d also love to add new competitors to keep them on their toes — if you’d like to join the fun, please check out this wishlist and contact me via Twitter.

Have a happy off-season! May your trades be fruitful, your drafts foresighted, and your spuds delisted.

Max.

What If: The Top Team Always Hosted The Grand Final (An Alternate History)

Rule: The Grand Final shall be hosted at the home ground of the participating side that finishes highest in the regular season and wins all its finals.

Result HGA* Adjusted venue Adjusted HGA Adjusted result
1991 HAW by 53 HAW +6.3 Waverley Park

Disaster in the west as the Eagles, seemingly on track to host the first ever Grand Final outside Victoria, lose their Qualifying Final at Subiaco to Hawthorn. It delivers the Hawks the right to host the Grand Final at their home ground of Waverley Park, which, in a convenient twist of fate, is where it would have been held anyway, as the M.C.G. is unavailable due to renovations.

Hawthorn duly defend Victorian pride, keeping both the premiership and the Grand Final a local affair for one more year.

Result HGA Adjusted venue Adjusted HGA Adjusted result
1992 WCE by 28 GEE +3.7 Subiaco WCE +12.1 WCE by 44

A series of unexpected results sends the Grand Final to Perth after the Eagles upset the Cats in a semi-final. A fortnight later, the Eagles repeat the performance and set Perth alight with a historic home premiership.

Continue reading “What If: The Top Team Always Hosted The Grand Final (An Alternate History)”

Squiggle: Now with Team Ins/Outs Awareness!

Earlier this year, HPN unveiled a new model named PERT based on player ratings, instead of team ratings like most other models. And it’s landed with a splash, currently sitting atop the models leaderboard on 74 correct tips.

It’s doing less well on Bits* and MAE*, which is a little suspicious, since those metrics tend to be better indicators of underlying model accuracy. But still! It’s enough to suggest there might be something in this crazy idea of considering who’s actually taking to the field.

So I’m hopping aboard. Starting this week, Squiggle’s in-house model considers selected teams and adjusts tips accordingly.

The difference that team selections make to each tip can be seen in the TIPS section of Live Squiggle.

In most cases, team selections will make only a difference of a few points to the Squiggle tip, which remains focused on team-based ratings. The adjustment is derived from a simple comparison of scores from AFL Player Ratings. So it will only swing a tip when it’s already close to a 50/50 proposition.

Over the last six years, this seems to deliver about a 0.40 point improvement in MAE. Naturally, though, 2018 will be the year it all goes to hell.

*  “Bits”: Models score points based on how confidently they predicted the correct winner. Confident & correct = gain points, unsure = no points, confident & wrong = lose points.

* “MAE”: Mean absolute error, which is the average difference between predicted and actual margins, regardless of whether the correct winner was tipped.