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International Rugby Union Prediction

My System    By Stefan Yelas

My International Rugby Prediction model uses a similar method that Professor Stephen Clarke uses to predict the Australian Rules Football results.

Each team has a rating. The model subtracts the away team rating from the sum of the home team rating and the home ground advantage. The result is the predicted margin. A positive predicted margin means the home team is predicted to win and a negative predicted margin means the away team is predicted to win.

After a game is played, team ratings are updated using simple exponential smoothing of the error. The model was initialised and optimised using historical results from all 566 matches between any of the 20 world cup teams dating from 1996 (when Rugby Union became professional). The data used were the team names, score margin and which team was playing at home.

Initial values for the ratings

The Zurich World Team Rankings, developed in 1998 by www.planetrugby.com were used as initial ratings for the prediction models.

The initialised model correctly predicted 78.8% of the 566 games and the average error in the predicted margins was 13.9 points. Using the standard deviation of the errors and inputting it to a function that returned the normal cumulative distribution for this standard deviation and specific mean (the predicted margin), the probability that a team would lose or win can be calculated.

Success of the model

The table below shows the predictions and actual results for each match, as produced prior to each match in the 2003 Rugby World Cup.

The model performed extremely well in that the correct winner was forecast in 46 out of 48 matches (96% correct). Furthermore the average error was only 15 points.

The model correctly predicted England to be the most likely winner before the tournament had even begun. After the first week of the competition (once the model had been seen to work) a $50 pool was placed with website www.betfair.com. Using the predicted probabilities and margins, bets were placed on games where a 20% or higher overlay was apparent. A fraction of the pool equalling 40% of the probability of the predicted margin range was bet. At the end of the event the pool was $638.

Note that even the semi final and final matches in which the model predicted the incorrect winner resulted in a significant contribution to this profit of $160 and $121 respectively. In both cases the model suggested Australia would do better than the line indicated. As these matches were late in the tournament, the bets were a reasonable proportion of what was, by then, a relatively sizeable pool.


 

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