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Competitive Balance in the League of Ireland

4/10/2013

2 Comments

 
by Declan Jordan
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This week Dundalk secured at least third place in the 2013 Airtricity League of Ireland, the first time they've had a top three finish since 1995. The club has a great tradition in the League and it is a boost for League of Ireland supporters to see Dundalk, Sligo Rovers, St Patricks Athletic and Derry City so prominent in the table. This is not least because it represents such a good geographic spread (Limerick FC will definitely break into the group next season to represent Munster) but also because it shows that clubs can come back from the brink with the support of their fans, in Dundalk's case taking ownership last season when the club was about to fold.

Competitive balance is an important idea in sports economics as it is a measure of the extent to which season outcomes are uncertain. If there are more clubs in contention for success then this should lead to more interest from supporters and so greater attendances. There are several ways to measure it and below I show some preliminary data on the spread of win percentages in the League of Ireland since 1953. However, Dundalk's success this season prompted me to look at the recent history of the clubs and it is remarkable how many of the clubs in the current Premier Division have been outside of the division in recent years.

League leaders St Patricks Athletic of course have never been relegated. They have a banner across the terrace at Richmond Park to point that out (the banner is only taken down for visits of Shamrock Rovers who seem to believe the banner refers to them). This is also the case for Bohemians. However, looking through the league it emerges that the other clubs have had difficult times recently. Dundalk were in the First Division in 2008, Sligo Rovers in 2005, Shamrock Rovers in 2006, Derry City in 2010 (albeit relegated for off field irregularities), Cork City in 2011, Limerick FC in 2012, UCD in 2009, Shelbourne in 2011 and Bray Wanderers in 2004. Drogheda United last played in the First Division in 2002 but they were relegated in 2010 before being saved by the demise of Sporting Fingal. 

This means that 10 of the 12 Premier Division teams have been in the second tier (or were relegated to it) within the last 9 years. 7 of them (almost 60%) were relegated or out the top flight in the last 5 years.

This suggests quite a bit of a churn in the top division in Ireland.

As part of work on a paper on competitive balance (CB) in the Premier Division of the League of Ireland the chart below shows a basic measure of CB since 1953. It is a simple standard deviation of win percentages in each season. The graph also shows a 5 year moving average.

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The larger the standard deviation, the greater the dispersion of winning percentages around the mean, and thus the less the competitive balance. This suggests that competitive balance, measured by the percentage of wins has decreased in recent years, the moving average falling to lower levels from the mid-1990s to mid-2000s. The recent increase may reflect the top few teams being very dominant or the bottom teams being very dominated, though the experience of relegation across the vast majority of clubs suggests that the identity of those dominant or dominated teams may change each season.

This is for further exploration within the data. 
2 Comments
Rodney Fort
4/10/2013 07:07:16 am

Did season length in the division change over time? Seems it surely must have over such a long period of time. If so, you might consider RSD rather than just SD. Also, with P&R, the tails become quite interesting--you might consider the tail-likelihood rather than just the SD. RF

Reply
Declan Jordan
9/10/2013 01:33:53 pm

@Rodney
Thanks for your comment. Yes, you're right that there have been changes in the division over the time period in question - in fact quite a few changes such as having, at different times, 10, 12, 14 and 16 teams in the division (mostly it has been 10 or 12); in the early part of the period there was no relegation from the division and there have been changes from 2 points for a win to 3 points (there was even one season with 4 points for an away win, 3 for a home win, 2 for an away draw and 1 for a home draw).

This potentially makes the league a very interesting one to study as in time I'd hope I can use it to estimate eg optimal league size and the effect of changes in points and goal difference/goal average on league outcomes.

Thanks for the suggestions on better measures of CB. The SD was the first cut off the data and I needed a simple measure for the blog to tie with the observation on the churn in the membership of the division recently. I am looking at the effect of CB on the performance of teams from the division in European competition (whether more competition makes the top teams better I suppose) so will have to do some work yet on appropriate measures of within-season CB.

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