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January 14, 2008Posted by Anantha Narayanan on 01/14/2008 in Trivia - batting
The best batsmen at each position
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The opening-position conundrum
A couple of readers have suggested that the two openers be allotted a number other than 1.00. The two suggestions offered are 1.5 or 2.0 for both openers. Both suggestions have their merits. 1.5 is more correct since the total for the two batsmen comes to 3.0 which is the sum of 1 and 2. However it does not look good as 1.0 or 2.0 would do. Allotting 2.0 to both batsmen is probably the better solution since it allows one to maintain continuity in numbers from 2.0 to 11.0. The other major benefit is that when an opener bats at 3.0, the variance will be a more correct 1.0 than the somewhat bloated 2.0 as is currently the case. Hence I have decided to allot both openers 2.0 and re-do the tables.
There will be no changes for the batsmen who have never opened. There will be no changes (other than a mean value of 2.0 as against the current 1.0) for the omni-present openers. For batsmen such as Boycott and Gavaskar there will be very little change. The change is significant only for those batsmen like Alec Stewart who have moved up and down the order quite frequently. Some of the key batsmen are compared below.
These are current up to the recently concluded second Test between New Zealand and Bangladesh.
Batsman L Cty Tests Inns BPTot BPIdx MeanDev Freq Batpos (%) Revised Stewart A.J Eng 133 235 919 3.91 1.56 77 @ 1( 32.8) Previous Stewart A.J Eng 133 235 842 3.58 1.97 77 @ 1( 32.8) Revised Jayasuriya S.T ~ Slk 110 188 519 2.76 1.44 152 @ 1( 80.9) Previous Jayasuriya S.T ~ Slk 110 188 367 1.95 1.77 152 @ 1( 80.9) Revised Langer J.L ~ Aus 105 182 440 2.42 0.55 115 @ 1( 63.2) Previous Langer J.L ~ Aus 105 182 325 1.79 0.90 115 @ 1 (63.2)It can be seen that the BP Index values are higher because the opening positions are assigned values of 2.0 instead of 1.0. However, more significantly, the Mean Variance values are significantly lower for all these players. These are probably the correct values. Alec Stewart remains the one who has been most tossed around, but he can derive some comfort from a mean variance value of around 1.5.
Just for the record, the top 25 batsmen in the revised table are listed in order of innings played. As per Steve Procter's suggestion, the Standard Deviation has been calculated and shown.
Batsman L Cty Tests Inns BPIdx M Dev Freq Batpos (%) StdDevBorder A.R ~ Aus 156 265 4.70 0.98 89 @ 4( 33.6) 1.14
Waugh S.R Aus 168 260 5.42 0.74 142 @ 5( 54.6) 0.95
Stewart A.J Eng 133 235 3.91 1.56 77 @ 1( 32.8) 1.79
Tendulkar S.R Ind 144 233 4.29 0.60 189 @ 4( 81.1) 0.71
Lara B.C ~ Win 131 232 3.78 0.51 148 @ 4( 63.8) 0.65
Gooch G.A Eng 118 215 2.31 0.57 184 @ 1( 85.6) 0.80
Gavaskar S.M Ind 125 214 2.21 0.44 203 @ 1( 94.9) 1.42
Atherton M.A Eng 115 212 2.10 0.25 197 @ 1( 92.9) 0.49
Waugh M.E Aus 128 209 4.24 0.56 170 @ 4( 81.3) 0.67
Gower D.I ~ Eng 117 204 4.00 0.71 91 @ 4( 44.6) 0.87
Haynes D.L Win 116 202 2.03 0.03 201 @ 1( 99.5) 0.42
Dravid R Ind 117 201 3.29 0.78 146 @ 3( 72.6) 1.00
Inzamam-ul-Haq Pak 120 200 4.66 0.91 98 @ 4( 49.0) 1.15
Warne S.K Aus 145 199 8.29 0.82 113 @ 8( 56.8) 1.18
Kallis J.H Saf 114 194 3.77 0.61 96 @ 4( 49.5) 0.79
Boycott G Eng 108 193 2.02 0.13 191 @ 1( 99.0) 0.80
Boon D.C Aus 107 190 2.85 0.61 111 @ 3( 58.4) 0.84
Ponting R.T Aus 114 190 4.02 1.34 125 @ 3( 65.8) 1.46
Javed Miandad Pak 124 189 4.24 0.57 140 @ 4( 74.1) 0.71
Jayasuriya S.T ~ Slk 110 188 2.76 1.44 152 @ 1( 80.9) 1.72
Cowdrey M.C Eng 114 188 3.84 1.09 54 @ 5( 28.7) 1.28
Taylor M.A ~ Aus 104 186 2.00 0.00 186 @ 1(100.0) 0.00
Walsh C.A Win 132 185 10.62 0.65 122 @ 11( 65.9) 0.63
Greenidge C.G Win 108 185 2.03 0.13 182 @ 1( 98.4) 0.72
Vengsarkar D.B Ind 116 185 3.67 0.81 74 @ 3( 40.0) 1.03
Highest averages at different batting positions
This is another interesting request. It would be of considerable interest to see the highest averages at different batting positions, with a qualification of at least 1000 runs at that position. Some surprises are in store for us.
Opening: Sutcliffe H Eng 4522 61.11
No.3: Bradman D.G Aus 5078 103.63Again no one should be surprised to see the greatest ever batsman at this position, with a 100+ average, the only instance of a such an average. He is followed by Ken Barrington with 2626 runs at 77.24.
No.4: Kallis J.H Saf 5675 71.84Jacques Kallis' consistency at this position is well-known and this accounts for his overall average of high 50s. Surprisingly he is followed by Sourav Ganguly with 1143 runs @ 71.44. Have the Indian selectors/captains missed a trick there?
No.5: Worrell F.M.M Win 1189 59.45This is a proof of the domination of the famous Ws. They occupy the first three places. Frank Worrell is followed by Clyde Walcott with 1599 runs @ 59.22.
No.6: Chanderpaul S ~ Win 2087 63.24Another surprise, or perhaps not. The difficulty opposing bowlers have in dismissing Shivnarine Chanderpaul is shown by his outstanding average at this pivotal position. He is followed by Salim Malik with 1591 runs @ 56.82.
No.7: McMillan B.M Saf 1051 58.39Brian McMillan has outdone quite a few fancied others at this position. He is followed by the mercurial Gilchrist with 3864 runs @ 49.62.
No.8: Vettori ~ Nzl 1136 42.07Can anyone deny Vettori's claims to an allrounder position when he bats like this at No. 8. He improved his No. 8 position average in the recently concluded Test with an aggressive 94. He is followed by Mark Boucher with 1034 runs at 34.47.
No batsman has scored 1000 runs at Nos.9, 10 and 11. Just for the record, Shaun Pollock has scored 534 runs @ 41.08 at No. 9 (min 500 runs). W. Oldfield has scored 263 runs at 26.30 at No.10 (min 250 runs). Brian Statham has scored 348 runs @ 13.92 at the No.11 position (min 250 runs).
Just to complete the analysis and in anticipation of reader demands, I have given below the best batting position, runs and average for a few key batsmen, with the proviso that a minimum of 1000 runs should have been scored in that position.
Tendulkar 4 9573 57.32 Dravid 3 7444 57.26 Laxman 6 2130 48.41 Ponting 3 7062 66.00 S.R.Waugh 5 6754 56.28 Lara 3 3749 60.47 Richards 3 3508 61.54 Sangakkara 3 5557 61.07 Inzamam-ul-haq 4 4867 52.90 ... Warne 8 2005 19.10 Vaas 8 1703 24.33 Kumble 7 1087 20.13 and CS Martin 11 64 2.46
Chris Martin had an average of 2.00 (that is the BPI of an opener) until his last innings against Bangladesh when he reached his best ever score of 12 not out, increasing the average to 2.46. In the current Test he remained unbeaten on 0, thus remaining at the majestic figure of 2.46. The million-dollar question is if he will ever get 100 Test runs and reach a double-digit score again.
Using this analysis you should be able to pick (on batting strength alone) all time teams for each country. It may be interesting to see of you get modern balanced teams (6 bats, WK, 3 fast 1 spin)
As an alternative solution to the opening position conundrum, how about defining the batting position index as the distance from opening. Thus the opening positions have index zero, no. 3 has index 1, etc. I think this is mathematically more appealing than starting at 2.
This also enables us to address the Chris Martin problem in a symmetrical manner - the "rabbit index" could be based on the distance from last batting position. Chris's rabbit index would be zero since he has never batted outside last position (and his standard deviation around this position would be zero too, of course).
Incidentally, I see no reason for using mean absolute deviation in preference to standard deviation - a distribution need not be Gaussian for the standard deviation to be meaningful.
Ananth: The Std Deviation has since been included.
I would suggest about the opening position, which according to my opinion, the batsman who face the first ball should be 1 and the batsman at the bowler end should be 2 and so on.
thanks
The only advantage of starting from index 2 is that is results in the indexes lower down the batting line up matching the batting positions, which I think is important.
Gavaskar should be rated as the best ever batsman of all time. Reasons - His era was having the quickest bowlers in the world with the very best - WI, pak, Eng, Australia all having the best in the era. Also to be noted that India had the weakest fast bowling attack during the era. Even Richards had quoted once that Gavsakar was the best batsman - reason being even he was not sure how he would have fared against the dreaded 4 man attack. The averages and other parameters will never take into consideration, the playing condition, bowling attack etc. Also we need to look into all aspects like 4 innings batting average, no. of matches saved from losing etc. all the all time greats have been middle order - Sir Bradman, Richards, Lara, Chappel brothers, Tendulkars, Dravids etc. However one man who scored more than 13 centuries against the quickest attack of all time (W.Indies) would always be / should be rated as the best of all. Even Sir Gerry would agree to it. Thanx
The cricket pundits say's Lara's not as consistent as Tendulkar.Brian Charles Lara has played less test innings and has scored more runs.Who is more consistent?
[... - Good day! cool post -wery interesting.[... -
Y Anantha Narayanan has over 35 years of IT background. Over the past 15 years, he has been concentrating on Cricket analysis and software development. He has been involved with StumpVision, Wisden, Hallmark Software and his own site www.thirdslip.com during this period.
David Barry was cricket-starved when teaching English in France, and study of cricket stats was his only way to stay sane. He is now back in Brisbane, Australia, and working towards a PhD in Physics. He once played for the worst team in the G-division of Muscat's cricket league.
Rajesh After doing an MBA in marketing and working in an advertising agency, S Rajesh decided that his skills might be put to better use by number-crunching on cricket. He hasn’t regretted that decision in the last six years, and edits the Numbers Game column on cricinfo.com every Friday.
Rajesh Kumar A product of Delhi's Shri Ram College of Commerce, Rajesh Kumar pursued cricket statistics at an early age before joining a nationalised bank, where he served for over two decades. He opted for a VRS nine years back, and hasn't regretted that decision. Apart from being a regular contributor to the Wisden Cricketers' Almanack over the years, Rajesh brought out five World Cup editions for Australia's Peter Murray. He has assisted Bill Frindall from 1980 till his death in January 2009 for the publications of various editions of The Wisden Book of Test Cricket, The Guinness Book of Cricket Facts and Feats, The Wisden Book of Cricket Records, Limited-Overs International Cricket and Playfair Cricket Annual.
Gabriel Rogers was born on the ninety-somethingth birthday of Test cricket, and his fate may well have been sealed from that moment. His day-job revolves around medical statistics, and he is interested in applying principles from the field to the analysis of cricket data. Gabriel has spent most of his life in the south-west of England, but has recently moved to Manchester; he hasn't quite worked out yet whether living in a city with a Test ground is adequate compensation for moving away from his beloved Somerset CCC.
Ric Finlay Having just taken early retirement as a Mathematics teacher in Hobart, Ric Finlay now fully devotes his time to recording cricket, both past and present, for the popular CSW cricket database, along with his colleague David Fitzgerald (www.tastats.com.au). His interest in the game is inversely proportional to his ability as a player, but he did once score a century after being dropped at 3 and running out three of his team-mates. His first memory of international cricket is the 1962-63 MCC tour of Australia, described as one of the most boring ever. Totally fascinated, he was instantly hooked, and has never looked back. Author of three books on cricket of a historical nature, he has provided statistics and scored for radio and television cricket coverage since 1983.