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Duckworth–Lewis–Stern method
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===Calculation summary=== The essence of the D/L method is 'resources'. Each team is taken to have two 'resources' to use to score as many runs as possible: the number of [[over (cricket)|over]]s they have to receive; and the number of [[Dismissal (cricket)|wickets]] they have in hand. At any point in any [[innings]], a team's ability to score more runs depends on the combination of these two resources they have left. Looking at historical scores, there is a very close correspondence between the availability of these resources and a team's final score, a correspondence which D/L exploits.<ref>{{cite web|url=http://www.daa.com.au/analytical-ideas/cricket/|title=The Duckworth-Lewis Method|publisher=Data Analysis Australia|date=September 2006|access-date=13 June 2008|archive-date=13 July 2011|archive-url=https://web.archive.org/web/20110713052219/http://www.daa.com.au/analytical-ideas/cricket/|url-status=dead}}</ref> [[File:(Duckworth Lewis) method of adjusting target scores.PNG|thumb|300px|A published table of resource remaining percentages, for all combinations of wickets lost and whole overs left]] The D/L method converts all possible combinations of overs (or, more accurately, balls) and wickets left into a combined resources remaining [[percentage]] figure (with 50 overs and 10 wickets = 100%), and these are all stored in a published table or computer. The target score for the team batting second ('Team 2') can be adjusted up or down from the total the team batting first ('Team 1') achieved using these resource percentages, to reflect the loss of resources to one or both teams when a match is shortened one or more times. In the version of D/L most commonly in use in international and [[First-class cricket|first-class]] matches (the 'Professional Edition'), the target for Team 2 is adjusted simply in [[Proportionality (mathematics)|proportion]] to the two teams' resources, i.e. : <math>\text{Team 2's par score }=\text{ Team 1's score} \times \frac{\text{Team 2's resources}}{\text{Team 1's resources}}.</math> If, as usually occurs, this 'par score' is a non-[[integer]] number of runs, then Team 2's target to win is this number rounded up to the next integer, and the score to [[The result in cricket#Tie|tie]] (also called the par score), is this number rounded down to the preceding integer. If Team 2 reaches or passes the target score, then they have won the match. If the match ends when Team 2 has exactly met (but not passed) the par score then the match is a tie. If Team 2 fail to reach the par score then they have lost. For example, if a rain delay means that Team 2 only has 90% of resources available, and Team 1 scored 254 with 100% of resources available, then 254 × 90% / 100% = 228.6, so Team 2's target is 229, and the score to tie is 228. The actual resource values used in the Professional Edition are not publicly available,<ref name=FAQ>{{cite web|url=http://static.espncricinfo.com/db/ABOUT_CRICKET/RAIN_RULES/DL_FAQ.html|title=D/L method: answers to frequently asked questions|author1=Frank Duckworth|author2=Tony Lewis|work=Cricinfo|publisher=ESPN Sports Media|date=December 2008}}</ref> so a computer which has this software loaded must be used. If it is a 50-over match and Team 1 completed its innings uninterrupted, then they had 100% resource available to them, so the formula simplifies to: : <math>\text{Team 2's par score }=\text{ Team 1's score} \times \text{Team 2's resources}. </math>
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