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The best ever AFL team: From A to Z-score

Expert
9th April, 2014
26
2627 Reads

Recent piece “Who is the best team in AFL history?” was one of the most popular articles I’ve encountered in my time on The Roar and, naturally, I want to piggyback off its success to lift my own profile.

I also felt the urge to make a small contribution to the debate, using a statistical technique known as ‘Z-Scoring’ (its probably got a more fancy name, but this will suffice).

The numbers below are basically how well a team performs, both on the offensive and defensive side of things, in a particular season, adjusted for how excellent or otherwise that performance was in the context of the season.

Essentially what we’re trying to show is that a point scored in one season isn’t actually worth the same as a point scored in another season, due to different games styles, changes in the way matches are umpired, injuries and the like.

In saying that, looking at these high level numbers I’ve found the average points scored per team over the course of a season is remarkably stable: approximately 2,055 points +/- 47 points over the decade.

Average AFL Team Score per Season

Average AFL Team Score per Season

Furthermore, over the very long run – I’ve looked at every match score between 1980 and 2013 – AFL match scores are normally distributed. This means that we can expect roughly two thirds of all AFL scores to fall within ‘one standard deviation’ of an average, and 97 per cent to fall within two. The normal distribution is a great property to have, because it makes statistical analysis much simpler.

A Z-Score is pretty much how many standard deviations above or below the expected score a particular team’s performance is. What we expect, and what happens in the data, is that around two thirds of team performances fall within this ‘one’ band, and 97 per cent fall within two.

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The chart below shows the cumulative Z-score of each of the 16 teams which played in all ten seasons of the study period. A positive Z-score means they were consistently above average, and the larger the score means the further above average. The reverse applies, too.

Z Scoring in AFL

Just out of interest, I’ve pulled the particular occurrences where a team has been exceptional in a particular season – with ‘exceptional’ defined as being better than 95 per cent of all performances over the period. Broadly, this tells me it’s much easier to be an outstanding offensive team than it is to be an outstanding defensive team – and that being brilliant at scoring is possibly a better predictor of success than defence (note, I say possibly).

Offensive Outliers

Team

Year

Score

Likelihood

Points For

Geelong

2007

2.55

0.5%

2,542

Geelong

2010

2.35

0.9%

2,518

St Kilda

2005

2.12

1.7%

2,407

Geelong

2008

2.04

2.1%

2,672

Western Bulldogs

2005

1.97

2.5%

2,385

Collingwood

2011

1.92

2.7%

2,592

Hawthorn

2013

1.82

3.4%

2,523

Hawthorn

2012

1.79

3.7%

2,679

Geelong

2011

1.77

3.9%

2,548

Western Bulldogs

2009

1.72

4.2%

2,378

Brisbane

2004

1.66

4.9%

2,447

 

Defensive Outliers

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Team

Year

Score

Likelihood

Points Against

St Kilda

2009

2.55

0.5%

1,411

Adelaide

2005

2.02

2.2%

1,517

Geelong

2008

1.80

3.6%

1,651

Sydney

2006

1.71

4.3%

1,630

Adelaide

2006

1.67

4.7%

1,640

 

Does this confirm what you already expected? Or has it thrown up some interesting findings? Let me know what you think!

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