This is a very rough outlay that many cricketing statisticians have probably done a far better job of. But I loathe Sobers difference of batting average to his bowling average as being indicative of being a better all rounder than Imran. Because while that provides a handy rule of thumb as to a players worth in a team, it ignores whether the person is a true front line bowler, or more of a '5th bowler'. Its also not written very clearly, and I may edit it to later so that it is easier to read. But anyone who loves cricket statistics should be able to follow it.
The runs per wicket averages were taken from here:
Why 55 is the new 50 | Decade Review 2009 | ESPN Cricinfo.
I have used actual wickets per match at the actual average, and then deducted that from the average of the era. I would happy using 36 as a blanket runs per wicket. I can see that the 1950's is very low, which means Sobers would be get say another ~6.8 runs with the bat but lose 3.6 of those runs with the ball.
There will be plenty of flaws of this as a statistical analysis. I concede that it is crude and lacks precision. I did it very quickly and without any deep thought or critical analysis. But it starts elucidating the point and for many of us debunks the myth that Sobers, as great as he was, and he truly is great, as a batsman alone, carries himself well above with the bat, let alone carrying his share of wickets, was the greatest all rounder, nor was he a better all rounder than Imran.
Feel free to critique and suggest improvements. If someone has links to far better statistical analysis, then by all means share that. This is just a straight out, average runs in actual innings as against average runs per wicket with actual wickets rated against the runs per wicket average of the time.
Imran, 4.11*22.81; – 1970’s 36.72; 4.11*13.09; 53.79 runs under average; Batting average 37.69; 1.43 * ~1 run = match value ~55 positive.
Sobers, 2.52*34.03 - 1960’s 36.36; 2.52*2.33 = 5.8; 57.78; 21.42 * 1.72 = match value 36.85 + 5.8 = ~42.65 match value positive.
1.43 innings per match for Imran. 1.72 innings per match for Sobers. I thought actual innings per match was fairest, (and necessary after using actual wickets taken) and definitely benefits Garfield no end in comparison. I could have used the 1980's average for Imran, but it doesn't make a tad of difference to the point I am trying to make as he will still be ahead by some margin. He will lose a run or two of value (4.11 with the ball for every run, so that is say 4 runs by using the 1980's but then offset by his batting average and his 1.4 times at bat, so that is roughly only 2.6 runs of match value decreased from his 1970's score of 55.).
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So a batsman who does not bowl averaging 36 is worth 0. A specialist batsman averaging 30, is worth -6 (* average innings per match batted). Wicket keepers are excluded in value.
A bowler averaging 30 with the ball, 0 with the bat, taking 6 wickets per test is worth 0 (6 wickets per test at 30 with the ball is useful for a player but not even Chris Martin averages 0 with the bat). If they average 15 with the bat, at bat on average 1.5 times per test, suddenly they are worth a major match winning 22.25 match value positive.
I have always suspected that bowlers are underrated. Especially the great bowlers. But when a great bowler can carry their own with the bat, they then become an amazing player for their team's success.
I've not done one for Kallis, nor any other allrounder. It would appear that the Don Bradman will be the clear leader with a positive net runs per wicket of 95 on this analysis with his statistical outlier of a batting average. I suspect Hadlee will be doing quite well too, but not as well as Imran.
Problems with this method analysis: possibly players who bowled far more often than they should have? But the player could then be critiqued as a batsman alone. Any other problems with this analysis? It appears at first blush, even in its most crude method and admittedly while ignoring fielding, as a fair measure of all round cricketing ability in comparison of eras and players against each other, and it more fairly rates bowlers value for taking wickets. It possibly penalizes in the eyes of some the players who did bowl as often as they should have, but that is upto their captains (and the player to say bowl me).
More importantly it completely ignores bowling strike rate, which is one area that Imran is well ahead of Sir Garfield, but that would be a far more complex equation needing further variables to reveal its value.