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Statistical
analysis of diagnostic accuracy with applications to
cricket
Lauren Mondin, Courtney Weber, Scott Clark, Jessica Winborn, Melinda M. Holt and Ananda B. W. Manage
Vol. 5 (2012), No. 3, 349–359
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Abstract |
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In the sport of cricket, as with any other sport, spectators and officials would like the games to be as fair as possible. To this end, we evaluate methods used to determine the winner of interrupted games using statistical accuracy. In the traditional One Day International cricket matches, the current Duckworth–Lewis (DL) method and the discounted most productive overs (DMPO) method are each used for predicting the winner. However, with the growing popularity of shorter Twenty20 matches, a new Bhattacharya–Gill–Swartz (BGS) method has also been introduced. We created both classical and Bayesian intervals to estimate the true accuracy of each. Using past game data from 2005–2010, we compared the DL, DMPO and BGS methods using the new accuracy intervals and receiver operating characteristic (ROC) curves. |
Keywords
interval estimates, Bayesian methods, ROC curves, delta
method
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Mathematical Subject Classification 2010
Primary: 62PXX
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Milestones
Received: 10 April 2012
Revised: 11 January 2013
Accepted: 7 March 2013
Published: 14 April 2013
Communicated by Scott Chapman
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Authors |
| Lauren Mondin | |
| Department of Mathematics and
Statistics Sam Houston State University 3307 Legends Mist Drive Spring, TX 77386 United States |
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| Courtney Weber | |
| Department of Mathematics and
Statistics Sam Houston State University 11 Mohawk Spur Huntsville, TX 77320 United States |
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| Scott Clark | |
| Department of Mathematics and
Statistics Sam Houston State University 4502 Brazos Bend Drive Pearland, TX 77584 United States |
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| Jessica Winborn | |
| Department of Mathematics and
Statistics Sam Houston State University PO Box 373 New Waverly, TX 77358 United States |
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| Melinda M. Holt | |
| Department of Mathematics and
Statistics Sam Houston State University PO Box 2206 Huntsville, TX 77340 United States |
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| Ananda B. W. Manage | |
| Department of Mathematics and
Statistics Sam Houston State University PO Box 2206 Huntsville, TX 77340 United States |
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