Article ID: | iaor20119853 |
Volume: | 62 |
Issue: | 11 |
Start Page Number: | 1951 |
End Page Number: | 1957 |
Publication Date: | Nov 2011 |
Journal: | Journal of the Operational Research Society |
Authors: | Bhattacharya R, Gill P S, Swartz T B |
Keywords: | decision: studies, statistics: regression |
Originally designed for 1‐day cricket, this paper considers the use of the Duckworth–Lewis method as an approach to resetting targets in interrupted Twenty20 cricket matches. The Duckworth–Lewis table is reviewed and an alternative resource table is presented. The alternative table is constructed using observed scoring rates from international Twenty20 matches. A desideratum of a resource table is monotonicity in both the rows and columns corresponding to wickets and overs respectively. Consequently, a Gibbs sampling scheme related to isotonic regression is applied to the observed scoring rates to provide a non‐parametric resource table. Taking into account the more aggressive batting style of Twenty20 compared to 1‐day cricket, the resultant resource table is seen to possess sensible features. A discussion is provided concerning the use of the Duckworth–Lewis method applied to Twenty20.