Anantha Narayanan

The world's best all-rounder

A bowler who can bat a bit (Abid Ali) or a batsmen who can turn his arm a bit (Sehwag) or a bowler who chances his way to a hundred (Agarkar), have at various times have been dubbed as all-rounders

Possibly the best responses in the first 12 hours itself.

Based on these responses I have decided that my follow-up post will be to do a far more rigorous and in-depth analysis of only the very best 10 or so all-rounders, excluding the also-rans like Vettori/Vaas/Hooper/Shastri et al. Then I can be very strict and demanding in my parameters since I will be looking at the best. There is no need to worry about very low batting or bowling averages of these pretenders, upsetting the balance of algorithms.
Many thanks.

Who is a Test all-rounder? There prevails a peculiar idea of all-rounders. A bowler who can bat a bit (Abid Ali) or a batsmen who can turn his arm a bit (Sehwag) or a bowler who chances his way to a hundred (Agarkar), at various times have been dubbed as all-rounders.

That is a very low-level expectation of an all-rounder. Let us raise the bar substantially. An all-rounder should be capable of winning matches consistently with his batting or bowling. Since this is a subjective statement, let us lay down some rules to be used as the basis for our analysis.

He should have scored a minimum of 2000 Test runs at an average of 20.00 or above. The limit of 20.00 is necessary to exclude long-career bowlers such as Warne and Kumble getting into the All-rounders list. Much as I admire their batting skills I am not ready to accept them as all-rounders.

He should have taken a minimum of 100 Test wickets. There is no need to have a limit of average since the all-rounder with the worst bowling record among this lot, Carl Hooper, with a bowling average of 49.43 is still considered as a genuine all-rounder. If I incorporate a cut-off limit of 40.00 for bowling average, Ravi Shastri and Hooper go out.

The rationale behind these two cut-off numbers is that, on an average, it takes 25-30 Tests to score 2000 runs and take 100 wickets. So we are looking at players who have played these many Tests at the minimum. 21 players qualify under these criteria. Wally Hammond misses out based on this citeria. Jayasuriya just misses out by two wickets. Steve Waugh also misses out by a few wickets.

There is a piquant situation what with Vettori, Vaas and Akram vaulting over the bar meant for all-rounders. Well, we cannot question the numbers. Vettori has a higher batting average than Craig Spearman while Vaas and Akram have acceptable 23+ and 22+ batting averages.

How do we analyse all-rounder performances? Once we set the minimum criteria and select the players it becomes easy to classify them. This time I have anticipated readers' comments and got the analysis done under the following three classifications. Finally I have a composite Index determination process based on these three classifications.

1. Performance based
2. Longevity based
3. Individual match performances.

1. Career Performance based:

The simplest and a very effective method of evaluating player performances is by measuring their averages. The batting average has to be as high as possible

and the bowling average has to be as low as possible. So we subtract the bowling average from the batting average and arrive at, what we call, an All-rounder
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Good in isolation, great as a pair

Even though the batsmen always bat in pairs, it is in bowling that the players are very effective operating in tandem

To retain my sanity, I have to be away from ODIs and batting for some time. I do not want to hear the words "Richards" and "Tendulkar" for a few days. Hence my next article covers the forgotten species, Test bowlers.

Even though the batsmen always bat in pairs, it is while bowling that players are very effective operating in tandem. This article looks at Test bowler combinations who have bowled together most effectively, achieved more together than individually, won more and performed well away from home.

New table on % of Team wkts added.

Modified table covering % of Wins incorporated.

As normally done I have to set up some selection criteria. However this time there only two criteria, as explained below.

a. Both the bowlers should have captured a minimum of 100 wickets each. This means that the two bowlers would have played together for around 25 Tests which is a fair length for anybody's career. This will also ensure that the number of qualifying pairs will be kept to a managable size.

b. Both the bowlers should have bowled in the concerned Test. This ensures that in cases where an allrounder has played purely as a batsman, the Test will not be considered. A classic case is Imran Khan. He has played seven of his 86 tests purely as a batsman. In these Tests he has played alongside Sarfraz Nawaz and/or Abul Qadir. Without this condition, these Tests would dilute the Imran/Sarfraz and Imran/Qadir pairs.

Of course if Imran has played in a Test and bowled very few overs (such as the Bangalore Test of 1987, when the spinners Tauseef and Iqbal Qasim bowled 90% of the overs because of the pitch conditions) the Test will still be considered for inclusion.

Fleetingly I considered using an innings as a unit for determining the qualifying criteria and dismissed that in favour of a Test, which is the most acceptable and understandable unit of game.

With these dual conditions, the number of bowler pairs who qualify is 69. Let us look at this data in various ways.

1. By number of wickets captured:

The most basic measure of the bowling pair's performance.

Analysis of Test bowlers operating in tandem - Wickets captured
No Cty TstsWkts Player 1 Wkts Player 2 Wkts
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Another look at the best ODI batsmen

Stats analysis ranking the best ODI batsmen

Ric Finlay
25-Feb-2013
It is with great interest that I read Ananth Narayanan's analysis of one-day players. Independently, our database provides a ranking of batsmen, which first of all adjusts each innings played according to batting conditions and the quality of the opposition bowling, then takes these adjusted scores and combines them with the scoring rate and also longevity in the game to provide a career batting quality measure. The results are given here below:
The best ODI batsmen
Rank Player Bat Quality M Runs Ave 100s R/100b
1 Sachin Tendulkar 94.69 417 15481 41.95 34 80.83
2 Vivian Richards 87.92 187 6692 46.80 10 89.83
3 Michael Bevan 87.08 232 6695 51.90 3 72.00
4 Ricky Ponting 83.05 301 10422 40.55 15 75.33
5 Michael Hussey 82.35 93 2252 52.37 1 78.83
6 Brian Lara 80.59 299 9952 38.72 12 75.83
7 Jacques Kallis 80.02 279 9107 42.36 11 67.50
8 Adam Gilchrist 79.09 287 9031 33.70 12 91.00
9 Sanath Jayasuriya 79.01 421 11977 30.63 20 85.33
10 Inzamam-ul-Haq 78.90 378 11054 37.22 8 69.83
11 Kevin Pietersen 78.12 82 2699 45.75 5 83.67
12 Sourav Ganguly 77.95 311 10476 37.82 16 68.00
13 Mahendra Singh Dhoni 77.31 120 3484 43.55 3 83.83
14 Mohammad Yousuf 77.19 269 8522 39.82 7 69.50
15 Dean Jones 77.03 164 5921 43.54 7 70.83
16 Rahul Dravid 76.91 333 10064 37.55 7 67.67
17 Mark Waugh 76.00 244 8162 37.79 12 73.83
18 Saeed Anwar 75.68 247 8263 36.72 11 75.50
19 Zaheer Abbas 75.47 62 2425 44.91 4 80.00
20 Desmond Haynes 75.08 238 8447 40.42 17 61.67
21 Andrew Symonds 75.02 193 4709 37.98 4 87.50
22 Aravinda de Silva 74.83 308 8977 33.75 11 78.33
23 Javed Miandad 74.69 233 7226 40.82 6 65.50
24 Mohammed Azharuddin 74.60 334 9058 35.66 4 71.50
25 Lance Klusener 74.48 171 3458 39.75 1 86.83
26 Matthew Hayden 74.19 161 5663 40.45 8 72.83
27 Gary Kirsten 73.58 185 6557 39.50 10 69.50
28 Gordon Greenidge 72.72 128 4963 43.54 6 62.67
29 Shivnarine Chanderpaul 72.17 235 7128 38.12 3 66.50
30 Hansie Cronje 71.84 188 5447 37.83 5 74.83
The top two players are, as with Ananth's scheme, Tendulkar and Richards, with the former enjoying a significant lead over the latter. Seven of Ananth's top ten are in our top ten. But whereas Ananth has Haynes, Javed Miandad and Symonds, we have Hussey, Lara and Kallis. Two notable absentees in Ananth's top 30 who rank quite highly in ours are Pietersen and Dhoni, 11th and 13th respectively.
Given that limited-overs cricket is all about scoring runs, and scoring them quickly,a much simpler algorithm to arrive at the best ODI batsmen is to multiply the batting average by the scoring rate, and divide the product by 1000 to reduce the magnitude of the result. This requires a minimum qualification of (in this case) 50 matches, otherwise the well known Canadian, Rizwan Cheema, heads the list after only three ODIs! This method will favour modern players because of increased scoring rates in modern times, but we find that Zaheer Abbas and Viv Richards still make the top eleven:
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The best two ODI batsmen - Richards and Tendulkar

The large number of comments received and the very valid points mentioned in these have made me come out with a follow-up to my article on the best ODI batsman

The large number of comments received and the very valid points mentioned in these have made me come out with a follow-up to my article on the best ODI batsman. In the article itself I had mentioned the following points as worthy of consideration for possible tweaks. I see no additions to these now.

1. Avoidance of double weighting for "Wins".
2. Possible cap on runs scored weightage.
3. Adjust for the paucity of matches played during the early 10 years.
4. Giving weight to key tournament wins such as World Cup and Champion's Trophy.
5. The subjective nature of MOMs, already mentioned by me in the main post did not go well with readers.
6. Quite a few readers have, while accepting Tendulkar's position at no.1, have questioned the wide gap between Tendulkar and Richards. It worries some readers that this gap will keep on widening.

Let me deal with these one by one. The last point is automatically taken care of by the tweaks.

1. Wins weightage and avoiding double weightage:

Ultimately winning has to carry some weightage in any analysis. Why do we respect and admire the 1980s West Indian teams. Not just because they had great players but because they won more than a fair share of the matches played. The recent Australian team might not be as admired as the earlier West Indian teams. However they are certainly respected, by peer players and viewers alike. I have looked at this carefully and have decided not to do any changes. The Win% does not seem to have any problems. The actual Wins had some comments but that carries only 5% weightage.

2. Possible cap on runs scored weightage and adjusting for the paucity of matches played during the early 10 years.

I have combined these two points. First I considered putting a cap on the runs scored weightage. The problem is that whatever figure I choose as the cap, it will only affect the very few players above that cap. For instance if I fix the cap at 10.0 points, only the 7 batsmen who have scored above 10,000 runs will be affected. That seems too arbitrary and discriminatory to me. The purpose would only be to put down a few players which is wrong.

The better alternative would be to leave the runs scored weightage as it is and adjust the early players' runs scored points upwards by an acceptable factor. This also means that we would increase certain players' rating points, for a valid reason, and not penalise a few.

After a few trials and errors, I have come out with the following formula which, I feel, would be acceptable to most readers and critics. This is a linear and simple formula.

No. of years played by the batsman: YEARS
Total number of matches played during these years: MATCHES
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Tendulkar and Richards swap places as best ODI batsmen

In my previous article I had taken two important ODI batting measures and attempted to analyse batsmen skills using those

I started this. So I have to finish it...

It is amusing. A few days back whole lot of people were lambasting me for not having Tendulkar on top. Now another set of people are screaming that Tendulkar is on top. Hey guys, this is only an analysis. I am one insignificant analyst who works with a computer and a Cricket database. The greats remain greats, whatever I (or for that matter you all) say.

Just one more thing. Unlike what some have suggested, I have not gone out of the way to put Tendulkar on top. He is one of the greatest but NOT my favourite batsman.

As done before I have incorporated a summary response to readers' comments at the end.

In my previous article I had taken two important ODI batting measures and attempted to analyse batsmen skills using those. It elicited the usual comments on the additional parameters for consideration. Hence instead of doing a straightforward follow-up to that analysis, I have gone the whole hog and after considering all relevant parameters, come out with what I feel should be a very fair ODI batsmen ranking based on what they have achieved over their careers.

The following 8 facors are considered.

1. Total runs scored (TRS)
2. Batting Average (AVGE)
3. Runs per Innings (RPI)
4. Strike Rate (STRT)
5. Quality of bowlers faced (BOWQTY)
6. % of Team runs (TRPER)
7. Wins achieved
- Absolute number of wins (WINS)
- Win % of matches played (WINSPER)
8. MOM awards received/frequency (MOM).
A brief description of each factor and the weights given to each parameter is outlined below. The total points add up to a nice round sum of 100.

1. Total runs scored (20 points)

This is a recognition of the longevity of the player. There is no doubt that the runs scored has to be given decent weightage. At the same time care has been taken to see that the olden era players such as Richards, Greenidge et al do not suffer unduly. My belief is that it is very unlikely for any batsman, including Tendulkar, to exceed 20000 runs. Hence the limit seems correct. The formula used is

  • TRS = Total runs scored / 1000.

2. Batting Average (15 points)

This is a straightforward calculation. We need not worry about not-outs since there is a separate factor for that. Since the batting average is unlikely ever to exceed 60.0, we are within the maximum level. The formula used is

  • AVGE = Batting average / 4.0.

Note: David Barry is doing some simulation work with a view to establish a correlation between Average and Strike Rates. It is too early to incorporate these first level findings. Hence at this stage I have taken the simple, easily understandable method of separating the Average and Strike Rate measures with individual weightages. Similarly Jeff Grimshaw's ideas about treating balls played as a resource and giving credit for the same is quite good. However I do not want too many overlapping parameters. Already I have Average and RPI.

3. Runs per Innings (5 points)

This is to mitigate the factor of a high number of not-outs, especially for middle-order batsmen. Again a straightforward calculation. Since the Batting average is unlikely ever to exceed 50.0, we are within the maximum level. The formula used is

  • RPI = Runs per innings / 10.0.

Note: I briefly toyed with Abhihjeet Dongre's excellent suggestion of excluding from the total number of innings the innings in which the batsman has finished not out at a score below his batting average. This redresses the balance towards middle order batsmen slightly. However I have finally rejected this tweak since I feel that they have already got the full benefit of not outs while calculating the Batting Average. The purpose of separation of these two factors will be lost if I do not use the full complement of innings played.

4. Strike Rate (25 points)

I consider this factor as the most important measure and that is reflected in the weightage. However much we talk about the importance of scoring runs, it is essential that these are scored at a reasonable pace. It does not mean that every century should be a run-a-ball one. However, it is true that many a match has been lost because the batsmen have not moved up the scoring rate at the right time.

However a major tweak has been done. The actual strike rates have been adjusted up or down based on the decade scoring rates pro-rata. In other words, if Viv Richards played between 1975 and 1991, his actual scoring rate has been adjusted pro-rata for the three decades, viz., 1970s, 1980s and 1990s. In general this will mean that the older players will get a slight benefit since the scoring rates were lower, as indicated in the table below.

AllMats   1970s   1980s   1990s   2000s
Matches played 2759 82 516 933 1228 Batsmen innings 47947 1418 8838 16266 21425 Runs scored 1142018 30292 202884 386508 522334 Balls bowled 1473233 46208 277516 505727 643782 Runs per ball 0.775 0.656 0.731 0.764 0.811 % of all-matches avge 100.0% 84.6% 94.3% 98.6% 104.7% The actual and adjusted strike rates for a few top players is given below. All these adjustments seem very reasonable. The only clear cases are for batsmen such as Pietersen and Dhoni who have played all their matches in the current decade and hence have the same adjustment of -4.4%. The others are pro-rata. For instance, Tendulkar's and Lara's strike rates have been adjusted much less since they have played during 1980s, 1990s and 2000s. Zaheer Abbas gains the maximum since his career spanned 1975-1985, the low-scoring years.
Batsman         Prev SR   Adj SR   % chg
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Sir Donald Bradman - a fresh analytical look

I am not sure whether I would jump with joy if someone, as reported recently, conclusively proved that Don Bradman scored those elusive four runs, by mistake credited to Jack Ryder, during 1929

1. Best ever batting performance in a test

During 2001, Wisden came out with a list of the 100 best Test innings of all time. Don Bradman's 270 played in Melbourne in 1937 was adjudged the best ever test innings. This was closely followed by Brian Lara's match-winning 153* and Graham Gooch's 154*.

Playing on a gluepot, Bradman declared at 200 for 9 and Gubby Allen countered by declaring at 76 for 9. The wicket was still very difficult and Bradman sent his tailenders in. Soon they were 97 for 5. Then Bradman and Jack Fingleton added 346 for the sixth wicket, . Bradman continued on and was ninth out at 270. England fought gamely but lost by a big margin. A tactical battle was won by Bradman, the captain and he led from the front. A potted summary of the match is given below.

Test # 257. Australia vs England.
Played on 1,2,4,5,6,7 January 1937
at Melbourne Cricket Ground.
Australia won by 365 runs.
Australia: 200 for 9 wkt(s)
England: 76 for 9 wkt(s)
Australia: 564 all out (Bradman 270, Fingleton 136)
England: 323 all out
2. The best 10-innings stretch

Bradman's best 10-innings stretch was during 1937-46, when he scored 1236 runs at an average of 154.50

The scores were 212, 169, 51, 144*, 18, 102*, 103, 16, 187 and 234.

Also relevant here is "Alex"'s comment, reproduced below.

Also, regarding the 'best 10-innings stretch'. Bradman scored 1370 runs in 10 innings during 1930 and 1931: 131, 254, 1, 334, 14, 232, 4, 25, 223, 152. There were no not-outs during this period however, so his average was 'only' 137.0.

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Richards the king, Tendulkar his heir

The ODI batting average is a single-dimensional measure incorporating only one part of the total measure needed to measure a batsman, viz, runs scored

In view of the huge number of comments I have to resort to providing a generic response to the comments. This has been shown at the end of the article.

Martin Crowe, who needs no introduction, had sent in a very valuable comment and Kartik had requested whether Martin could comment on the changes in ODI game over the years. Martin kindly responded to this request and his perceptive comments are shown below. Martin, thanks a ton.

The basic fundamental of the change has been change itself - in the rules. The skill level over all generations has always been constant and consistent. But the framework of each era is determined by the rules of the day. E.g in general there were no 15 over restrictions or powerplays in the 80s, and rules for boundary length was determined by size of ground (inside fence) - but now its a standard 65m. A few examples - We started the exploitation of rules with Greatbatch as pinch hitter opening the batting, Patel opening the bowling Sri Lanka took it a step further in 96'. Personally, I used to practice chipping the ball 45-50m over the inner ring and way short of the boundary rider standing at 80-90m, to score 2 runs. I only ever used to attempt hitting a six over a fielder if there was a short boundary like at Eden Pk, 50-60m square of the wicket otherwise I never tried to clear a fielder 80-90m away. i.e. hitting 6's is so much easier now with standard length boundaries of 65m in place. In this aspect alone, there is a major difference between scoring 250 and 300. And yes the bats are bigger and lighter, but not in my opinion necessarily better for Tests. In the 80's I used a bat weighing 2'4"-2'6" to combat the 4 prong pace attack of the Windies.

With each change or addition to the rules brings an evolution of playing strategy, mainly in batting but also captaincy. T20 will only further encourage the evolution. In 5 years ODIs will be 4 x 20 overs each. In summary the rules will continue to evolve to excite the fan. As it should be. Test cricket on the other hand will rightly be left alone.

Martin Crowe

The ODI bowling average is a fantastic measure since it incorporates the two key components needed to measure a bowler's performance, viz, strike-rate and economy-rate, as shown in the following equation. If either of the economy-rate or strike-rate goes up the bowling average goes up and vice versa.

                  Runs scored off
Bowling Average = ----------------       & can be rewritten as
Wickets captured
Runs scored off Balls bowled Bowling Average = --------------- x --------------- Balls bowled Wickets captured Hence
Bowling Average = Economy Rate (R/B) x Bowling Strike Rate (B/W) Unfortunately the batting average is a single-dimensional measure incorporating only one part of the total measure needed to measure a batsman, viz, runs scored. The batting strike-rate (runs per ball) is another independent measure and the two have to be considered together to determine the quality of a batsman. This article attempts to locate a single measure, somewhat equivalent to the bowling average.
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The highest peaks and lowest troughs for batsmen

Brian Lara finished his career with a batting average of more than 50

Brian Lara finished his career with a batting average of more than 50. It is certain that during his illustrious career he would have gone through a few peaks and troughs. Not necessarily a sine-wave pattern but certainly up and down. It is also certain that a few of these would have been way outside his career average of 52.89. This article looks at such peaks and troughs occurring in the careers of Test batsmen.

This analysis will be in two parts. The first looks at the batsman's career in fixed segments. The second is to look at batting sequences, both outstanding and abysmal.

As usual, we have to set some criteria and parameters. As also is normally done, these are common-sense based and will meet expectations of most discerning readers.

1. The number of innings played should be 50 or more. This is a fair requirement since otherwise we will not have sufficient data to analyse. The limit of 50 innings means that an average of 30 Tests would have been played by the batsman. Also the batting average should be greater than 25.0. We are certainly not interested in analysing the batting exploits of Curtly Ambrose, Shane Warne, Harbhajan Singh et al who have played well over 50 innings. I know this will exclude players such as JM Parker (NZl), Nick Knight (Eng), Asif Mujtaba (Pak), Mohammad Ashraful (Bng) et al, all with sub-25.0 averages. In order to complete the analysis properly I have included batsmen whose batting average is less than 25.0 but whose BPA (Batting Position Average) is less than 6.0. Twelve batsmen, including all four mentioned above, have now been included. With this criteria, a total of 299 batsmen get selected for analysis.

2. I will consider a unit of 10 innings [or more], hereinafter called a stretch, as a unit for measuring the average and variation from average. This represents between five and eight Tests, normally spanning across two or more series and is a good measure. We will consider the batting average during this period as that is the most accepted unit of batting measure. Runs per inns and Run aggregate both suffer from significant shortcomings.

3. In the first part, each batsman's peak and trough will be measured against his own career batting average. The need for this method of measuring is best proved by considering the batting averages of two opening batsmen of different eras, of totally diverse temperament, skills and application levels. Herbert Sutcliffe had an average of 60.73 and Kris Srikkanth weighed in with 29.88. If Sutcliffe had a stretch average of 20, he would consider it as a very low period while Srikkanth would find it quite acceptable. Sutcliffe would have to have a stretch average of 75+ to think that he had a very good run, while Srikkanth would be over the moon with a stretch average of 45.0.

4. What is a peak? What is a trough? I have defined a peak or a trough to be 50% on either side of the career batting average. In other words, if a batsman has got a batting average which is above 150% of his batting average, it is considered a peak. If a batsman has got a batting average which is below 50% of his batting average, it is considered a trough. Looks subjective, but has been done based on lot of research.

5. The analysis will be done in two distinct parts. The first is an easier and more understandable method where the batsman's career is split into as many fixed stretches as required (1-10, 11-20, 21-30 et al until career-end) and then the peaks and troughs are determined. The last stretch, if below 10 innings, will be ignored. Because of the fixed interval, it is possible that a run such as Mohinder Amarnath's sequence of 4, 7, 0, 0, 1, 0, 0, 0 might be split into two different stretches. It so happens that Amarnath bookended this horrible run with scores of 91, 81, 54, 116 and 36, 101*, 37, 49 on either side. This is a simple exercise.

6. This is a simple (okay, not so simple) analysis of a player's career performance. No allowance has been made for the quality of opposition, bowling quality, home or away Tests, match results et al. The purpose is not to determine the quality of innings but just to determine deviations away from the mean values. I also personally think that failures against stronger teams cannot be justified nor can successes against weaker teams be derided.

Now let us take a look at the tables for Part 1. The analysis is current upto and including the Colombo match in which the vaunted Indian batsmen were found wanting.

1. Table of Peaks, by % of Batting Average

No  Cty Batsman          Stretch Ins No Runs Avge CarAvge  %
St End
1. Slk Tillakaratne H.P  91 100 10  6  641 160.25 42.88 373.74
2. Saf Kallis J.H        81  90 10  6  711 177.75 56.28 315.80
3. Slk Sangakkara K.C   101 110 10  4 1036 172.67 54.81 315.01
4. Ind Vengsarkar D.B   141 150 10  4  788 131.33 42.13 311.70
5. Saf Pollock S.M       91 100 10  6  398  99.50 32.32 307.89
6. Slk de Silva P.A     101 110 10  2  961 120.12 42.98 279.49
7. Eng Gatting M.W       61  70 10  4  568  94.67 35.56 266.24
8. Saf Pollock S.M       71  80 10  5  421  84.20 32.32 260.55
9. Aus Trumper V.T       71  80 10  2  774  96.75 39.05 247.76
10. Pak Mudassar Nazar    51  60 10  2  716  89.50 38.09 234.95
There is no doubt that the high averages for most of the stretches in the top 10 have been because of the high number of not-outs. That is a parameter we have laid down and there is nothing fundamentally wrong with that. One has to admire Hashan Tillakaratne for his stretch of 55*, 11, 10, 16, 136*, 10*, 105*, 87, 7* and 204* and Kumar Sangakkara for his stretch of 287, 14, 39, 4, 100*, 156*, 8, 6, 200* and 222*.especially for their determination in scoring big centuries and remaining unbeaten. Also Sangakkara exceeded 1000 runs. Jacques Kallis, the unsung South African batsman, has a few impressive runs such as this stretch consisting of 51, 157*, 42*, 189*, 68, 21*, 24, 89*, 5 and 65*.

To view the complete list, please click here

2. Runs scored by batsman in a stretch

Mohammad Yousuf (1070), Sangakkara (1037) and Viv Richards (1036) are the only batsmen to exceed 1000 runs during any stretch. The year 2006 was a golden year for both Mohammad Yousuf and Sangakkara as was 1976 for the great Richards. As with Lara, Richards has few not-outs, as showed in this sequence. Surprisingly, Mohammad Yousuf also had no not-outs, probably explaining why they dropped down in the previous tables.

At the other end Ian Healy (59), AC Bannerman (72) and Marvan Atapattu (73) have scored the least number of runs during a stretch.

To view the complete list, please click here

3. Table of Troughs, by % of Batting Average

No  Cty Batsman          Stretch Ins No Runs Avge CarAvge  %
St End
1. Aus Ponting R.T       61  70 10  1   74   8.22 58.35 14.09
2. Slk Atapattu M.S       1  10 10  0   73   7.30 39.02 18.71
3. Aus Healy I.A        171 180 10  0   59   5.90 27.40 21.54
4. Eng Edrich W.J         1  10 10  0   87   8.70 40.00 21.75
5. Eng Compton D.C.S     61  70 10  1  108  12.00 50.06 23.97
6. Eng Flintoff A        11  20 10  0   86   8.60 32.42 26.53
7. Ind Jaisimha M.L      61  70 10  1   75   8.33 30.69 27.16
8. Aus Waugh S.R          1  10 10  1  125  13.89 51.06 27.20
9. Zim Flower G.W        71  80 10  0   84   8.40 29.55 28.43
10. Nzl Rutherford K.R     1  10 10  0   77   7.70 27.09 28.43

During the subject stretch Ponting averaged only 14.09% of his high career average. His miserable run consisting of 14*, 0, 6, 0, 0, 11, 11, 14, 4 and 14 was caused by the Indian spinners in India during 2001 and Darren Gough in England during the unforgettable Ashes tour. Atapattu's "bit pattern" run of 0, 0, 0, 1, 0, 0, 25, 22, 0 and 25 was at the start of his career. Who would have imagined that he would finish with a career average of nearly 40 and score six double-hundreds. Ian Healy's run of 0, 6, 10, 0, 3, 6, 16, 11, 3 and 4 was at the end of his career and hastened his departure. He needed to make this average ten-fold to keep Gilchrist out.

4. Summary of selected players' peaks and troughs

Cty Batsman             Mats Ins    Stretches
Tot  P  T  A  B
Aus Border A.R           156 265  26  2  0 11 13
Aus Waugh S.R            168 260  26  5  3  8 10
Ind Tendulkar S.R        148 240  24  2  2 10 10
Win Lara B.C             131 232  23  1  0 10 12
Ind Gavaskar S.M         125 214  21  2  2  8  9
Eng Atherton M.A         115 212  21  1  1 11  8
Saf Kallis J.H           121 205  20  4  3  7  6
Pak Inzamam-ul-Haq       120 200  20  0  3 11  6
Nzl Fleming S.P          111 189  19  1  0  7 10
Win Richards I.V.A       121 182  18  2  1  5 10
Slk Jayawardene D.P.M.D   96 156  15  0  0  8  7
Aus Bradman D.G           52  80   8  0  0  4  4
Legend: P-Peaks (above 150%), T-Troughs(below 50%), A-Above Batting avg (100-150%), B-Below Batting avg (50-100%).

Border was consistency personified with two peaks and no troughs. Steve Waugh was just the opposite. Quite a few peaks and troughs. Sachin Tendulkar was somewhat more predictable than Steve Waugh. The surprise is Lara - only one peak and no trough. It shows a facet of his batting which has not been appreciated. Surprisingly Gavaskar's and Tendulkar's distributions are identical. Michael Atherton is somewhat like Lara, with no great variations.

Kallis is similar to Steve Waugh, lots of variations. Surprisingly Inzamam is prone to more losses of form. However this is made up by a very high number of stretches which are above average. Richards has twice as many below-average stretches as above average. Possibly a reflection of the carefree batting he practised.

Finally note Mahela Jayawardene's distribution. He has no peak and no trough. He and Don Bradman are the only batsmen in this list with such consistent batting records.

To view the complete list, please click here

Part 2: Analysis of high stretch averages and low stretch averages

This analysis is totally different to the first one. The methodology is briefly explained below.

1. The batsmen are selected on the same basis. This time also 299 batsmen are selected.

2. Each innings played by the qualifying batsman is taken as the base and the rest of the career analysed. For each of these innings, the best stretch average is determined. With a minimum of ten innings as a valid stretch, the running averages are computed and the selection is done. Averages above 100.00 and below 10.00 are tabulated.

3. These tables are studied and because of overlapping stretches, appropriate non-overlapping stretches selected and sequenced.

5. Table of high average run scoring stretches

1.Sangakkara K.C  105 114 10 4 1185 197.50
{100*,156*,8,6, 200*,222*,57,192,92,152}
2.Sobers G.St.A 29 38 10 4 1115 185.83 {365*,125,109*,14, 27,25,142*,4,198,106*}
3.Tillakaratne H.P 95 105 11 7 721 180.25 {136*,10*,105*,87, 7*,204*,96,37,3,19*,17*}
4.Kallis J.H 81 90 10 6 711 177.75 {51,157*,42*,189*, 68,21*,24,89*,5,65*}
5.Bradman D.G 50 59 10 2 1236 154.50 {212,169,51,144*, 18,102*,103,16,187,234}
6.Kallis J.H 118 127 10 3 1065 152.14 {158,44,177,73, 130*,130*,92,150*,40,71}
7.Hammond W.R 88 97 10 4 889 148.17 {87*,29,63*,65, 167,217,5*,0,25,231*}
8.Bradman D.G 18 28 11 2 1327 147.44 {223,152,43,0, 226,112,2,167,299*,0,103*}
9.Vengsarkar D.B 133 142 10 6 584 146.00 {1*,37*,126*,33,61, 102*,38,0,22*,164*}
10.Bradman D.G 63 72 10 3 984 140.57 {56*,12,63,185, 13,132,127*,201,57*,138}

Sangakkara's phenomenal run is the best ever and is of recent vintage. Sobers blossomed once he scored his first Test century, which turned to be the world-record breaking one. Tillakaratne had the benefit of quite a few not-outs. But his run was wonderful for a journeyman batsman. Bradman has three distinct stretches. With a career average of 99.96 it is not surprising to see him exceeding 140 three times in his career. There are many overlapping stretches during which Bradman has exceeded averages of 120. Kallis is the only other batsman who has had two separate 140-plus stretch averages. Dilip Vengsarkar is the only Indian batsman in this elite list.

6. The career-best best stretch averages for a few other famous batsmen is given below.

Lara B.C       164 173 10 1  851  94.56
{68,60,209,10, 80*,29,1,191,1,202}
Tendulkar S.R 105 114 10 3 736 105.14 {124*,18,126*,15, 44*,217,15,61,0,116}
Ponting R.T 10 119 10 2 928 116.00 {169,53*,54,50, 242,0,257,31*,25,47}
Dravid R 65 74 10 3 835 119.29 {28,41*,200*,70*, 162,9,39,25,180,81}
Gavaskar S.M 1 10 10 3 831 118.71 {65,67*,116,64*, 1,117*,124,220,4,53}
Richards I.V.A 27 36 10 0 1093 109.30 {177,23,64,232, 63,4,135,66,38,291}
Javed Miandad 23 32 10 5 654 130.80 {154*,6*,35,100, 62*,81,160*,26,30,0*}
Gilchrist A.C 35 45 11 5 715 119.17 {83*,7,22,30*, 34,204*,138*,24,91,16,66*}
Flower A 82 94 13 4 1243 138.11 {183*,70,55,232*, 79,73,23,51,83,45,8*,142,199*}

Lara is the only one who has not exceeded 100. Primarily because he remains not out very few times. Gavaskar's is his debut stretch. Andy Flower has a 13-innings stretch in which he averages 138+. Playing in a weak team, this is a remarkable achievement. Richards has exceeded 100 even though he was dismissed in all 10 of the innings.

7. Table of low average run scoring stretches

1.Reid J.R          8  17 10 0   36   3.60
{0,3,6,1,9,7,6,0,3,1}
2.Bannerman A.C 27 39 13 1 57 4.75 {8,5,2,15*,4,2,2,0,0,13,5,1,0}
3.Wishart C.B 6 15 10 0 52 5.20 {3,2,25,0,10,0,7,3,0,2}
4.Healy I.A 167 176 10 0 56 5.60 {0,14,5,12,0,6,10,0,3,6}
5.Vettori D.L 13 23 11 1 57 5.70 {0,14*,1,3,16,0,20,0,0,0,3}
6.Kapil Dev N 38 47 10 0 60 6.00 {19,2,7,5,0,0,9,0,4,14}
7.Fletcher K.W.R 19 29 11 1 64 6.40 {4,2,1,28*,1,0,5,2,0,16,5}
8.Knott A.P.E 69 78 10 1 65 7.22 {2,0,0,21,4*,5,0,21,5,7}
9.Atapattu M.S 1 10 10 0 73 7.30 {0,0,0,1,0,0,25,22,0,25}
10.Nadkarni R.G 52 62 11 1 73 7.30 {0,7,14*,9,0,3,15,17,2,0,6}

John Reid's stretch is the worst by any batsman in Test history. Ten consecutive single-digit scores is something, a record no recognised batsman has achieved. Ian Healy's poor scoring stretch is towards the end of his career. He has averaged 8.12 in a 17-innings stretch. Atapattu's stretch is on his debut. Fletcher, with an average of 6.40 early in his career, is one of the three recognised Test batsman to have had very low stretches.

I have implemented Daniel Cotton's suggestion of 10 dismissals instead of 10 innings and the results are tabulated below.

Table of Peaks, based on 10 consecutive dismissals, by % of Batting Average
Full post
The best performance in a single Test

When people talk of the most outstanding performances in a single Test match, a few superlative displays come to mind

When people talk of the most outstanding performances in a single Test match, a few superlative displays come to mind. Ian Botham's all-round excellence in Bombay in 1980, Jim Laker's 19-wicket haul in Manchester in 1956, Andy Flower's and Brain Lara's back-to-the-wall batting exploits, Richard Hadlee's tour-de-force in Brisbane in 1985 against Australia, Muttiah Muralitharan and Graham Gooch at Lord's etc. What is the best among these memorable efforts?

To seek an answer, this article looks at single player performances in a Test match.

Important note: Jeff, Rahul Bose, Sriram et al have mentioned about the bias towards bowling performances, which is true. The consensus is that the 25% upwards valuation of batting performances is too low. Jeff has even suggested 50%. After experimenting with a few figures, I have settled on 40% as the upwards valuation parameter. Since I am unlikely to do a follow-up, I have modified the values and table in this article itself. This means a 55% contribution in batting moves up to 77% which translates to just over 15 wickets. Looks like a very fair normalizing situation.

From this time I have made a significant change. In order for all readers to view my own response to the readers' comments, these responses will be appended at the end of the article. Even though this will make the article longer, this is the best way of addressing what are often overlapping comments. Pl see at the end of the article for these counter-responses.

Let me emphasise that this is not a look at the best all-round performances, although allrounders will be prominent in the lists. I have looked at a method of bringing batting, bowling and fielding performances to a common platform and analyse the results. I will also make due allowances for the fact that bowlers can, on their day, monopolise the team bowling performances, while batsmen cannot. I have also looked at the relative contribution of a player in a Test match rather than the absolute numbers.

Certain criteria have been laid down. Consider the following matches:
  • MtId 1138. Ind: 358 for 9, Nzl: 178 for 1.
  • MtId 0696. Win: 451 for 3, Nzl: 543 for 7.
  • MtId 1094. Nzl: 512 for 2, Eng: 183 for 6.
Very few wickets have fallen and lots of runs have been scored. How does one rationalise between batting and bowling. In the first match, Atul Wassan took the only wicket to fall. Surely he cannot be credited with 100% of the bowling effort. It is essential that a fair number of wickets are captured.

Hence I will consider only matches in which 20 wickets have fallen. The limit of 20 wickets has been decided after a lot of deliberation. 20 wickets represents two completed innings and there is a fair chance that the match would have gone a reasonable distance. There would be either two completed innings or a third innings. In addition matches in which over 1000 runs are scored are also included to make sure that the really high-scoring matches will be considered.

Just to pre-empt readers who rush to print, let me add that 1769 out of the 1879 Test matches fall under this category. This works out to a very satisfactory 94%.

The only match in which fewer than 20 wickets have fallen and there has been a result is Test # 1483 in which only 16 wickets were lost. This was the Test match with the contrived result and I have left the match in with a lot of reluctance.

Of course, if there is a match with the following [imaginary] scorecard, it would not be included. I can live that. I am sure any reader could.

  • Team 1: 100 for 9, Team 2: 400 for 0, Team 1: 200 all out.
I do not want to limit this analysis only to matches in which there have been results. This will keep out some great individual performances in drawn matches.

Now for the difficult task of normalising batting and bowling points.

First the batting. Let us use the batting as the base and assign a point for each run scored. Fairly easy. The only problem is that the batsmen do not have an opportunity to play as much of a dominant role in an innings or match as the bowlers do. The table given below is an eye-opener. The best performances by players as a proportion of their team's performances are outlined below.

Highest share of team performance - Batting
	Innings: A.C.Bannerman 165 (245 all out) - 67.3%
	Match:   Tharanga 165 & 71 (316 & 120)   - 54.1% (Both innings played)
Highest share of team performance - Bowling
	Innings: Laker & Kumble 10 (out of 10)   - 100%
	Match:   Laker          19 (out of 20)   -  95%
In view of the above, which clearly indicates that no batsman can ever hope to score more than two-thirds of his team total in a match, the individual batting points are increased by a factor of 25%, since changed to 40% on 23 July 2008..

Next the bowling. Here only the wickets captured have been considered. Overs bowled is another factor. However, if the batting team score is 400 all out, it is difficult to give any weight to a spell of 40 overs for no wicket against 40 overs for eight wickets. It is quite possible for a bowler to monopolise 100% of his team's bowling effort. Hence no adjustments, similar to the batting adjustments, are done. I will wait for the reader responses to decide whether to give a small weightage, say 10%, to the overs bowled.

It is interesting to note that a bowler has captured 10 wickets or more (50% of or more of the bowling effort), in 361 of the 1879 Test matches.

Look at the following two matches.

  • Test # 0028: Aus 116 ao & 60 ao, Eng 53 ao & 62 ao.
  • Test # 0137: Aus 354 ao & 582 ao, Eng 447 ao & 370 ao.
Both are similar in many ways. 40 wickets have fallen in both and there has been a result. However in the first match, 291 runs have been scored and in the second, 1753 runs have been scored. Clearly it was very easy to pick up wickets in the first match and very difficult to pick up wickets in the second match.

Hence while computing the value of a wicket the bowling and batting figures, for a single match, in terms of runs are equalised. In other words, the value of a wicket in the first match is approximately equivalent to 7 runs and in the second, 46 runs. This will make sure that the proportionate allocation for bowlers is done equitably.

First, the batting and bowling points for a single match are equalised. Then the proportionate allocation takes place.

Now for fielding. Since run-out records are available for very few matches, that is not taken into account. Each catch taken or stumping effected by a player is alloted 20% of the value of a wicket. This figure of 20% is not arbitrary. It has been determined that an average of around 5-6 catches are taken in a match and the total allocation for fielding per match is around a single wicket value, which is very reasonable.

It must be remembered that all calculations are within a single Test match only to determine the contribution of the 22 players involved. Since all these contributions are reduced to % values, there is no chance of wide variations. A batsman scoring 50 out of 100 and another, 250 out of 500 are considered equal. Similarly for bowling.

Finally a recognition that winning is [if not everything] something. Hence the winning team's player points are increased by a nominal 5% and drawing team's player points are increased by 2%.

Summary:

  • 1. Only matches in which 20 wickets have been captured or 1000 runs have been scored.
  • 2. Bowling and Batting points are equalised for the match.
  • 3. Per wicket points are computed by dividing total runs by total wickets.
  • 4. Batting points = Runs scored x 1.40 (changed from 1.25).
  • 5. Bowling points = Wickets captured x Per wicket points.
  • 6. Fielding points = No of C/St x (Per wicket points x 0.2).
  • 7. Total points = Batting points + Bowling points + Fielding points.
  • 8. Player contribution = Total points / Team Total points.
  • 9. Win factor - 105%, Draw factor - 102%.
Detailed explanation of the calculation - using the top performance.

Match # 1380, India vs England, 1980. Match total: 785 runs & 30 wickets. Per Wkt points - 26.166. England: 296 all out and 98 for no loss. (Batting points - 394) India: 242 all out and 149 all out (England: Bowling points - 20 * 26.166 = 523) Total England points: 394 + 523 = 917. Ian Botham Batting: 160 points (114 runs). Bowling: 340 points (13 wkts). Fielding: 0. Total: 500 points. Indexed by 5% for win. Total: 525 points. % of Team total: 525/917 = 57.20%, which reflects Botham's outstanding contribution.

I want to emphasise that the batting and bowling equalisation takes place only at the match level and not at the team level. This is done to make sure that the overall match conditions are reflected in this analysis. It is also done to ensure that there are no way-out allocations in completely one-sided matches. An example is given below, the match which can be billed "Brian Lara vs Sri Lanka".

Match # 1572, Sri Lanka vs West Indies, 2001. Match total: 1306 runs for 29 wickets. Per Wkt points - 45.03. West Indies: 390 all out and 262 all out (Batting points - 652) Sri Lanka: 627 for 9. (West Indies: Bowling points - 9 x 45.03 = 405). Total West Indies points: 652 + 405 = 1057. Brian Lara. Batting: 491 points (351 runs). Fielding: 0. Total: 491 points. No indexing since West Indies lost. % of Team total: 439/1057 = 46.48%, which seems very fair.

Note that the West Indian bowlers get less points since they captured only 9 wickets. That allows the batsmen like Lara [and Andy Flower against South Africa] who fought valiantly to get their due.

Now for the tables. Only the Top-10 are listed below.

No Year MtId For Player            RunPts      WktPts  FlPts Total (Team) % Cont
(Runs)      (Wkts)
1.1980 0874 Eng Botham I.T         160(114r) & 340(13w)  0f 525p ( 917t) 57.20 Won
2.1899 0059 Saf Sinclair J.H       154(110r) & 143( 9w)  0f 297p ( 529t) 56.08 Lost
3.2001 1562 Zim Flower A           477(341r) &   0( 0w) 11f 489p ( 903t) 54.12 Lost
4.1964 0568 Aus Simpson R.B        193(138r) & 105( 4w)  5f 310p ( 580t) 53.40 Draw
5.1883 0011 Eng Bates W             77( 55r) & 262(14w)  0f 356p ( 668t) 53.25 Won
6.1985 1029 Nzl Hadlee R.J          76( 54r) & 592(15w)  8f 709p (1342t) 52.83 Won
7.1974 0734 Eng Greig A.W          242(173r) & 304( 6w) 10f 568p (1078t) 52.68 Draw
8.1962 0523 Nzl Reid J.R           283(202r) &  88( 3w)  0f 370p ( 705t) 52.53 Lost
9.1956 0428 Eng Laker J.C            4(  3r) & 474(19w)  0f 502p ( 958t) 52.40 Won
10.1952 0352 Ind Mankad M.H         358(256r) & 192( 5w)  0f 550p (1074t) 51.26 Lost
...
15.2000 1513 Pak Saqlain Mushtaq     45( 32r) & 392( 9w)  0f 445p ( 924t) 48.23 Draw
29.1966 0608 Win Sobers G.St.A      244(174r) & 261( 8w)  0f 530p (1152t) 45.97 Won
Legend: r-Runs, w-Wkts, f-Fielding pts, p-Player pts, t-Team pts.
Botham's all-round performance is, not surprisingly, the best in Test history. If any reader says that he knew about this all along and there was no analysis needed, the next few entries will show the importance of analysis since there are from different era and less-heralded players.

Botham's performance is closely followed by Sinclair's all-round performance. Remember South Africa lost the match.

The purely batting back-to-the-wall effort, albeit in a losing cause, by Andy FlowerAndy Flower's great batting performance is now in third place, followed by Simpson's all-round performance. Then come the (predominatly bowling) performances by Bates and Hadlee. Greig's all-round performance is followed by John Reid's batting effort, Lakers's 19-wkt haul and Mankad's predominantly batting effort at Lord's.

There are 3 bowling performances, 4 all-round performances and 3 batting performances in the top-10, restoring the balance between batting and bowling. We have got 6 specialist performances in the Top 10. It will take a truly great specialist performance to get into the top-10/top-20, which is true of Laker's or Hadlee's or Andy Flower's performances.

There are 4 wins, 2 draws and 4 losses. Again no one should have a complaint.

Saqlain Mushtaq just edges Imran Khan's great match-winning effort against India in Lahore for the best Pakistan' performance. Let me add that I myself feel that Imran Khan's 14-wicket haul against India is a far superior performance. However, having laid down parameters I cannot trample over them, just because I do not agree with the results. Sobers' all-round efforts are the best by a West Indian.

Just for information, Gooch's 333 plus 123 at Lord's during 1990, which is the highest compilation of runs in a match, pegged in at around 36.5%.

To view the complete list, please click here.

The brief scores for the concerned matches are given below. Only the concerned players' performances are shown.

==================================================================
Test # 874. India vs England.
Played on 15,17,18,19 February 1980 at Wankhede Stadium, Mumbai.
England won by 10 wickets.
India: 242 all out            (Botham I.T     22.5  7  58  6)
England: 296 all out          (Botham I.T     114)
India: 149 all out            (Botham I.T     26.0  7  48  7)
England: 98 for 0 wkt(s)      (Botham I.T     dnb)
==================================================================
Test # 59. South Africa vs England.
Played on 1,3,4 April 1899 at Newlands, Cape Town.
England won by 210 runs.
England: 92 all out           (Sinclair J.H   12.0  4  26  6)
South Africa: 177 all out     (Sinclair J.H   106)
England: 330 all out          (Sinclair J.H   31.2  8  63  3)
South Africa: 35 all out      (Sinclair J.H   4)
==================================================================
Test # 1029. Australia vs New Zealand.
Played on 8,9,10,11,12 November 1985 at Woolloongabba, Brisbane.
New Zealand won by an innings and 41 runs.
Australia: 179 all out        (Hadlee R.J     23.4  4  52  9)
New Zealand: 553 for 7 wkt(s) (Hadlee R.J     54)
Australia: 333 all out        (Hadlee R.J     28.5  9  71  6)
==================================================================
Test # 11. Australia vs England.
Played on 19,20,22 January 1883 at Melbourne Cricket Ground.
England won by an innings and 27 runs.
England: 294 all out          (Bates W        55)
Australia: 114 all out        (Bates W        26.2 14  28  7)
Australia: 153 all out        (Bates W        33.0 14  74  7)
==================================================================
Test # 428. England vs Australia.
Played on 26,27,28,30,31 July 1956 at Old Trafford, Manchester.
England won by an innings and 170 runs.
England: 459 all out          (Laker J.C      3)
Australia: 84 all out         (Laker J.C      16.4  4  37  9)
Australia: 205 all out        (Laker J.C      51.2 23  53 10)
==================================================================
Test # 131. South Africa vs England.
Played on 26,27,29,30 December 1913 at Old Wanderers, Johannesburg.
England won by an innings and 12 runs.
South Africa: 160 all out     (Barnes S.F     26.5  9  56  8)
England: 403 all out          (Barnes S.F     0)
South Africa: 231 all out     (Barnes S.F     38.4  7 103  9)
==================================================================
Test # 1423. England vs Sri Lanka.
Played on 27,28,29,30,31 August 1998 at Kennington Oval, London.
Sri Lanka won by 10 wickets.
England: 445 all out          (Muralitharan M 59.3 14 155  7)
Sri Lanka: 591 all out        (Muralitharan M 30)
England: 181 all out          (Muralitharan M 54.2 27  65  9)
Sri Lanka: 37 for 0 wkt(s)    (Muralitharan M dnb)
==================================================================
Test # 734. West Indies vs England.
Played on 6,7,9,10,11 March 1974 at Kensington Oval, Bridgetown.
Match drawn.
England: 395 all out          (Greig A.W      148)
West Indies: 596 for 8 wkt(s) (Greig A.W      46.0  2 164  6)
England: 277 for 7 wkt(s)     (Greig A.W      25)
==================================================================
Test # 568. India vs Australia.
Played on 17,18,20,21,22 October 1964 at Eden Gardens, Calcutta.
Match drawn.
Australia: 174 all out        (Simpson R.B    67)
India: 235 all out            (Simpson R.B    28.0 12  45  4)
Australia: 143 for 1 wkt(s)   (Simpson R.B    71)
==================================================================
Test # 1562. Zimbabwe vs South Africa.
Played on 7,8,9,10,11 September 2001 at Harare Sports Club.
South Africa won by 9 wickets.
South Africa: 600 for 3 wkt(s)
Zimbabwe: 286 all out         (Flower A       142)
Zimbabwe: 391 all out         (Flower A       199)
South Africa: 79 for 1 wkt(s)
==================================================================
Test # 1513. Pakistan vs England.
Played on 15,16,17,18,19 November 2000 at Gaddafi Stadium, Lahore.
Match drawn.
England: 480 for 8 wkt(s)     (Saqlain Mushtaq 74.0 20 164  8)
Pakistan: 401 all out         (Saqlain Mushtaq 32)
England: 77 for 4 wkt(s)      (Saqlain Mushtaq 10.0  2  14  1)
==================================================================
Test # 352. England vs India.
Played on 19,20,21,23,24 June 1952 at Lord's, London.
England won by 8 wickets.
India: 235 all out            (Mankad M.H     72)
England: 537 all out          (Mankad M.H     73.0 24 196  5)
India: 378 all out            (Mankad M.H     184)
England: 79 for 2 wkt(s)      (Mankad M.H     24.0 12  35  0)
==================================================================
Test # 608. England vs West Indies.
Played on 4,5,6,8 August 1966 at Headingley, Leeds.
West Indies won by an innings and 55 runs.
West Indies: 500 for 9 wkt(s) (Sobers G.St.A  174)
England: 240 all out          (Sobers G.St.A  19.3  4  41  5)
England: 205 all out          (Sobers G.St.A  20.1  5  39  3)
==================================================================
PS: 1. I have another complex method of measuring the (batting) innings and (bowling) innspells using 12 parameters. In reality that is the ideal method of measuring a player contribution in a Test match. That method is the one used to bring out the Hallmark-TS-100 (earlier called Wisden-100) tables. However I have to lay a proper foundation explaining all the parameters and methodologies used before doing an analysis. Since that will take a complete article or two, I have reserved it for a later date.

2. This analysis emphasises only the relative contributions of players and not the absolute contributions. However readers may be interested in knowing who has compiled the highest absolute points on the basis of the parameters used in the analysis. Hence I have given below the top-10 players based on absolute values. Please remember that this table has no real intrinsic value.

Year MtId For Player         RunPts      WktPts  FlPts Total (Team) % Cont
(Runs)     (Wkts)
2004 1680 Ind Kumble A             0(  0r) & 839(12w)  0f 855p (2034t) 42.05 Draw
1976 0781 Win Holding M.A         45( 32r) & 754(14w)  0f 838p (1945t) 43.09 Won
1997 1374 Slk Jayasuriya S.T     476(340r) & 319( 3w)  0f 811p (1803t) 44.98 Draw
1990 1148 Eng Gooch G.A          638(456r) &  57( 1w) 23f 754p (2070t) 36.45 Won
1998 1423 Slk Muralitharan M      42( 30r) & 669(16w)  0f 746p (1464t) 50.98 Won
1985 1029 Nzl Hadlee R.J          76( 54r) & 592(15w)  8f 709p (1342t) 52.83 Won
2001 1572 Slk Vaas WPUJC          32( 23r) & 630(14w)  0f 696p (1555t) 44.76 Won
1983 0945 Pak Imran Khan         164(117r) & 484(11w)  0f 680p (1542t) 44.11 Won
1955 0406 Win Atkinson D.S.t.E   335(239r) & 323( 7w)  0f 671p (1667t) 40.24 Draw
2001 1558 Aus Warne S.K            0(  0r) & 576(11w) 21f 627p (1688t) 37.13 Won
Kumble is on top because he captured 12 wickets in a match in which 25 wickets were captured for a huge tally of 1737 runs. Each wicket was gold and valued at nearly 70 points. Similar case with Holding. Jayasuriya's tally is due to his triple century and 3 wickets in a run feast. Hadlee find places in the Top 10 of both lists.
Counter-responses: 1. I am aware that the increase of batting value by 25% without a corresponding increase in total will be mathematically inaccurate since the sum of allocations will exceed 100.If I increase total by 25%, the whole effect will be lost. However I am ready to live with this mathematical inaccuracy to achieve a parity between batting and bowling in cricketing terms.
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