Page 51 - Contributed Paper Session (CPS) - Volume 3

CPS1943 Nandish C. et al.
positions with respect to number of run scored. In order to avoid such
difficulties, we have used a filter for the minimum number of balls faced by a
batsman (a minimum of 10 balls faced at least), and ensured coherence of the
values of the strike rate (e.g., avoiding scenarios where a batsman faced just a
single ball and scored a four, but making very little contribution to the team
in terms of runs) among the batsmen. In this case, the strike rate provides
combined information about the runs scored by the batsman and the number
of balls used to score the same. We carried out the analysis for batsmen
considering strike rate and the number of innings. The estimated value of the
weights w1 and w2 are 0.746 and 0.254, respectively. The observed scores of
the batsmen and the corresponding ranks are provided in Table 2.

Table 2: Ranking of batsmen
Rank Player Score Rank Player Score Rank Player Score
1 SK Raina 0.981 13 Yuvraj Singh 0.464 25 RR Pant 0.121
2 V Kohli 0.918 14 DJ Hooda 0.462 26 AJ Finch 0.120
3 MS Dhoni 0.872 15 S Dhawan 0.466 27 BB McCullum 0.118
4 RG Sharma 0.786 16 RV Uthappa 0.377 28 KD Karthik 0.117
5 G Gambhir 0.718 17 MK Pandey 0.337 29 Q de Kock 0.117
6 DA Warner 0.685 18 WP Saha 0.315 30 KK Nair 0.105
7 SR Watson 0.588 19 MC Henriques 0.221 31 RA Jadeja 0.104
8 AB de Villiers 0.558 20 AM Rahane 0.212 32 DR Smith 0.089
9 CH Gayle 0.551 21 SV Samson 0.207 33 KL Rahul 0.041
10 YK Pathan 0.538 22 JC Buttler 0.167 34 HM Amla 0.038
11 DA Miller 0.487 23 M Tiwary 0.158 35 KS Williamson 0.012
12 M Vijay 0.483 24 NV Ojha 0.154

Next, we have analysed the match-wise data available for the bowlers.
Similar to the case of batsmen, we have only considered the number of innings
in which the bowler bowled, as the experience variable. Among the
performance attributes, economy (runs conceded per over) indicates
miserliness of a bowler. The performance of the bowlers is also monitored
using average (runs conceded/number of wickets taken) and strike rate
(number of balls bowled/number of wickets taken). Interestingly, both the
metrics carry important information on the number of wickets taken by a
bowler and rest of the information are redundant as those are already
incorporated in economy rate. Therefore, we derived a new performance
metric wickets-economy ratio (WER), defined as the ratio of the number of
wickets picked up by the bowler in a particular match to the corresponding
economy rate. The WER is directly proportional to the utility of a bowler, and
a higher WER indicates that the bowler takes large number of wickets with low
economy rate. We set a filter for the bowlers as well, and considered only those
innings where they bowled at least two or more overs out of their stipulated
quota of four overs. Based on our analysis considering WER and the number
of innings, the estimated weights w1 and w2 are 0.791 and 0.209, respectively.

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