An Ordered Response Model of Test Cricket Performance - summary
This research paper puts an economic model to use in analysing the results of test match cricket
Professor Robert Brooks, Professor Robert Faff, David Sokulsky
17-Feb-2000
Executive Summary
This research paper puts an economic model to use in analysing
the results of test match cricket. Three aspects of test cricket
are considered: firstly predicting the outcomes of test match
cricket, secondly identifying what style of cricket each nation
played, and thirdly determining who had a legitimate claim to the
title of world champion. All data used for this analysis was
taken from the `CricInfo' web-site, and incorporated test matches
between the nine test playing nations over the period 1994 to
1999.
The application of the model used could be considered successful
as it correctly predicted 71 percent of test match outcomes.
Separating out this aggregate figure reveals that 81 percent of
test match losses were correctly predicted, compared with 75
percent of wins, and 57 percent of the draws.
By analysing the results on a country-by-country basis the model
was most efficient in correctly predicted the outcomes for
Zimbabwe (84 percent of the time), and Australia (82 percent of
the time) India had the lowest level of correct predictions with
the model only predicting their result in 55 percent of matches.
Another interesting issue is that Pakistan had the highest
tendency to be involved in `unpredictable' matches or matches not
correctly predicted by the model. Sri Lanka on the other hand had
the highest tendency to be involved in predictable matches.
Four input measures were used in the analysis; batting
performance (runs per wicket), bowling performance (opposition
runs per wicket), batting strike rate (runs per wicket), and
bowling strike rate (opposition runs per wicket). By analysing
the test match results with respect to these inputs it is
possible to identify five cricketing `styles' that the nine test
playing nations could be classified into:
1. Batting and Bowling Performance- Pakistan, West Indies, and
Zimbabwe;
2. Batting Performance- England, New Zealand, and India;
3. Bowling Performance- Australia;
4. Bowling Performance/ Batting Strike Rate- South Africa;
5. Bowling Performance/ Bowling Strike Rate- Sri Lanka.
The final aspect the paper looks at is determining who has a
legitimate claim to the title of world champions. Two methods are
used; firstly using the probability of winning and losing, and
secondly using a `heavyweight clash' type analysis. If the team
with the highest probability of winning, or the lowest
probability of losing over the test period were deemed the
champion then South Africa would have the title, followed by
Australia second. South Africa has a 49 percent probability of
winning and a 9 percent probability of losing compared to
Australia's 41 percent and 11 percent respectively.
Using a `heavyweight clash' situation between the top two cricket
nations, South Africa and Australia is somewhat different. During
the test period the two nations played two series, Australia
winning 2-1 in South Africa in 1996/97, and Australia winning 1-0
in Australia in 1997/98. In these six tests Australia's
probability of winning was 74 percent, while South Africa only
had a 5 percent probability of winning. By using this method the
above result is reversed and Australia would be crowned as the
champions.
This paper uncovered some interesting results and is an
encouraging first paper. Outcomes suggest there is scope for
implementing more complete model specifications and improving on
the results that this simple model achieved. The paper highlights
the benefit of applying detailed economic models in the analysis
of cricket results at test, and potentially one-day level.