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A Statistical Way of Ranking the All Rounders by their overall numbers

shortpitched713

International Captain
Wanted to do this in a while.

Straight to the formula:-
{(Player's Batting average÷Team's batting average without the player+Team's Bowling average without the player÷Player's Bowling average)(player's RPM÷Team's RPM without the player+Player's WPM÷Team's WPM without the player)+(no. of 50's per Inn. +3×no. of 100's per inn.-no. of 0's per inn.+ No. Of 5'fers per inn.+ 5×no. Of 10'fers per match)+ 5×(player's Batting average÷Team's batting average without the player×Player's RPM÷Team's RPM without the player + no. Of 50's per Inn. +3×no. Of 100's per inn. -no. Of 0's per inn.)^(1/2)*(Team's Bowling average without the player ÷ player's bowling average × player's WPM÷Team's WPM without the player+ no. Of 5'fers per inn.+5× no. Of 10'fers per match)^(1/2)+(1/10)(batting average - bowling average)+(ICC Rating average)^2/(7.5×10⁴)}×100

The list (numbers are rounded up or down to the nearest whole number):-

Garfield Sobers= 836
Imran Khan= 793
Jacques Kallis= 751
Ian Botham=735
Aubrey Faulkner= 714
Shakib Al Hasan= 702
Richard Hadlee= 685
Keith Miller= 683
Tony Greig= 639
Ravindra Jadeja= 594
Ravichandran Ashwin= 578
Wally Hammond= 564
Chris Cairns= 533
Shaun Pollock= 518
Trevor Goddard= 514
Jack Gregory= 497
Vinoo Mankad= 495
Kapil Dev= 470
Monty Noble= 467
Mushtaq Mohammad= 430
Ted Dexter= 407
Eddie Barlow= 380
Ben Stokes= 358
Jason Holder= 333
Andrew Flintoff= 301
Warwick Armstrong= 297
Bob Simpson= 286


Downsides of the methodology:-
1) Doesn't consider their performance in or against strong or weak opponent differently.
2) Doesn't take their peak or longevity into account.
3) Doesn't treat their home vs away performance differently.


Thoughts? Any notable ommissions?
This is a very batting allrounder skewed list, imho.

Having Kallis 3, Faulkner 5, Shakib 6 is telling of that (obviously Sobers 1 as well, but most are very happy with Sobers over Imran so no bones there).

I've got Shaun Pollock higher on my list, so you can see mine is a bit more skewed towards bowling all-rounders. But if we exclude Faulkner, Shakib, and Shaun Pollock, there is an overlap between a consensus top 7.

Your list My List

Sobers Imran
Imran Miller
Kallis Sobers
Botham Botham
Hadlee Hadlee
Miller Kallis
Greig Greig

Sobers and Imran though do seem to rise to the top, regardless of any kind of methodology, but it always will make a difference if it is more bowling vs batting centric.
 

Coronis

International Coach
Yeah I’m not going to suggest any improvements tbh. I think they’re all too much work unless you’re seriously going to dedicate a bunch of time to the project.
 

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