4 One-Day Cricket (50 overs) Twenty20 or T20 Cricket (20 overs) International Cricket Council (ICC) countries :Australia Bangladesh EnglandIndia New Zealand PakistanSouth Africa Sri Lanka West IndiesZimbabweThree formats of cricket :Test CricketOne-Day Cricket (50 overs)Twenty20 or T20 Cricket (20 overs)
12 First developed by two British academics, Frank Duckworth and Tony Lewis in 1998. Updated in 2004.Improvement over the run rate method.
13 Scaled Duckworth- Lewis (DL) Resource Table for Twenty20 cricket
14 Team A scores 150/8 for 20 overs. Rain interrupts the game and the match is reduced to 12 overs for Team B.Team B target is:According to the D-L method :[( 150 * )] +1 = ~ 100According to Run Rate method :[ (150/20) * 12 ] + 1 = 91
15 Two resources at disposal of scoring side : Number of overs leftWickets left.Mathematical relation between overs left and wickets left is :whereaverage total score in u overs in an unlimited overs match where w wickets are lost.asymptotic average total score from the last (10 – w) wickets in unlimited overs.exponential decay constant .for w = 0, 1, , 9.
16 Is it the best curve to fit? Why a formula of unlimited overs was used for a limited overs game?The last two columns have some identical entries. Is it plausible ?
23 Heat map of the absolute differences between DL and NRT
24 COMPARISON 1 Match 1: England vs West Indies, 15th June 2009. England made 161/6 in 20 overs.Rain interrupted the game and WI innings was reduced to 9 overs.D-L : 80 runs (achieved in 8.2 overs)NRT : 85 runs
25 COMPARISON 2 Match 2: England vs West Indies, 03rd May 2010. England scored 191/5 in 20 overs.Rain interrupted the game and WI innings was reduced to 6 overs.D-L : 60 runs (achieved in 5.5 overs)NRT : 72 runs