Duckworth-Lewis and Twenty20 cricket

Originally designed for one-day cricket, this paper considers the use of the DuckworthLewis 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 nonparametric resource table. Taking into account the more aggressive batting style of Twenty20 compared to one-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.