Devising a fairer method for adjusting target scores in interrupted one-day international cricket


Abstract


One-day international cricket matches face the problem of weather interruption. In such circumstances, a so-called rain rule is used to decide the outcome. A variety of approaches for constructing such rules has been proposed, with the Duckworth-Lewis method being preferred in the sport. There are a number of issues to consider in reasoning about the effectiveness of a rain rule, notably accuracy (does the rule make the right decision?) and fairness (are both teams treated equally?). We develop an approach that is a hybrid of resource-based and so-called probability-preserving approaches and provide empirical evidence that this hybrid method is superior in terms of fairness while competitive in terms of accuracy.


Keywords: cricket; Duckworth-Lewis; modelling; target adjustment

References


Anselin, L., Florax, R., and Rey, S. J. (2013). Advances in spatial econometrics: methodology, tools and applications. Springer Science & Business Media.

Asif, M. and McHale, I. G. (2016). In-play forecasting of win probability in one-day international cricket: A dynamic logistic regression model. International Journal of Forecasting, 32(1):34–43.

Carter, M. and Guthrie, G. (2004). Cricket interruptus: fairness and incentive in limited overs cricket matches. Journal of the Operational Research Society, 55(8):822–829.

Clarke, S. R. (1988). Dynamic programming in one-day cricket-optimal scoring rates. Journal of the Operational Research Society, 39(4):331–337.

Duckworth, F. C. and Lewis, A. J. (1998). A fair method for resetting the target in interrupted one-day cricket matches. Journal of the Operational Research Society, 49(3):220–227.

ICC (2015). Standard one-day international match playing conditions. http: //icc-live.s3.amazonaws.com/cms/media/about_docs/559921e3b7a49-2%20 _Standard_ODI_July_2015.pdf. Accessed: 24/08/2016.

Jayadevan, V. (2002). A new method for the computation of target scores in interrupted, limited-over cricket matches. Current Science, 83(5):577–586.

Preston, I. and Thomas, J. (2000). Batting strategy in limited overs cricket. Journal of the Royal Statistical Society: Series D (The Statistician), 49(1):95–106.

Preston, I. and Thomas, J. (2002). Rain rules for limited overs cricket and probabilities of victory. Journal of the Royal Statistical Society: Series D (The Statistician),

(2):189–202.

Schall, R. and Weatherall, D. (2013). Accuracy and fairness of rain rules for interrupted one-day cricket matches. Journal of Applied Statistics, 40(11):2462–2479.

Stern, S. (2009). An adjusted Duckworth-Lewis target in shortened limited overs cricket matches. Journal of the Operational Research Society, 60(2):236–251.

Stern, S. E. (2016). The Duckworth-Lewis-Stern method: extending the Duckworth- Lewis methodology to deal with modern scoring rates. Journal of the Operational Research Society. doi:10.1057/jors.2016.30.


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