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

[sayon basak]

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?

 

[Coronis]

So Sobers Imran and Kallis are the best AR’s, and Faulkner and Shakib are underrated. I’ve been right all along!

 

[subshakerz]

Not sure of methodology but seems like a decent list.

 

[sayon basak]

So Sobers Imran and Kallis are the best AR’s, and Faulkner and Shakib are underrated. I’ve been right all along!

Faulkner and Shakib performed in a very weak side, that's why their numbers are up their.

Shakib averages 37.77 with the bat while other batters in his team averaged 26.68, also averaged 31.72 with the ball while other bowlers averaged 43.3.

Faulkner averaged 40.79 with the bat while others averaged 22, and with the ball he averaged 26.58 while others averaged above 30. That's why they appear so high in the list.

 

[Coronis]

Faulkner and Shakib performed in a very weak side, that's why their numbers are up their.

Shakib averages 37.77 with the bat while other batters in his team averaged 26.68, also averaged 31.72 with the ball while other bowlers averaged 43.3.

Faulkner averaged 40.79 with the bat while others averaged 22, and with the ball he averaged 26.58 while others averaged above 30. That's why they appear so high in the list.

Yeah I knew that lol.

Only issue is say an ATG in one discipline (Hammond) rating above someone like Kapil. It makes me think its more of a “who brought the most to their team” rating than AR rating.

 

[sayon basak]

Only issue is say an ATG in one discipline (Hammond) rating above someone like Kapil. It makes me think its more of a “who brought the most to their team” rating than AR rating.

Actually if I would set a restriction of at least 1 wpm or such, Hammond wouldn't qualify as an all rounder.
(And the formula I used in the Dexter vs Goddard vs Noble thread would place him above Faulkner to be the 3rd greatest AR. Guess it's better than that )

Yeah I knew that lol.

I knew you knew that.

 

[Fuller Pilch]

This is really interesting. Good effort. Being in a weak(er) team perhaps helps a bit.

Any notable ommissions?

John R Reid
Trevor Bailey
Daniel Vettori
WG Grace
Brian McMillan

Also (but many may not consider them allrounders):
Richie Benaud
Alan Davidson
Doug Walters




How does Glenn Phillips stack up so far?

 

[sayon basak]

This is really interesting. Good effort. Being in a weak(er) team perhaps helps a bit.



John R Reid
Trevor Bailey
Daniel Vettori
WG Grace
Brian McMillan

Also (but many may not consider them allrounders):
Richie Benaud
Alan Davidson
Doug Walters




How does Glenn Phillips stack up so far?

That'll take a bit of time. Thanks tho.

 

[Thala_0710]

Yeah I knew that lol.

Only issue is say an ATG in one discipline (Hammond) rating above someone like Kapil. It makes me think its more of a “who brought the most to their team” rating than AR rating.

So the formula is saying specialists bring in more value to team than comparable all rounders do! I'm all in for this formula.

 

[sayon basak]

So the formula is saying specialists bring in more value to team than comparable all rounders do! I'm all in for this formula.

The first part of the formula ( which I came up with at the very beginning) gives advantage to the ones with an ATG discipline or the ones who performed in a weaker team (re shakib, Faulkner, Hammond). The second part gives advantage to balanced ARs. The third part is just the difference between their batting average and bowling average Divided by ten. The fourth part (ICC average rating²/(7.5×10⁴)) takes consistency into account.

Didn't really bother that much about what weight should each of them have.

 

[sayon basak]

Also could apply the formula for players performance against different countries, consider them as having different weight and add them up, But I'm too lazy to even think of doing that.

 

[honestbharani]

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?

If you include 1 and 3 somehow, I think it will be far more fair.

 

[capt_Luffy]

Really nice effort. Though I think this formula provides a big advantage to players playing for weaker teams. Like Keith Miller played for one of the strongest teams ever, so ofcourse he suffers when put against Shakib and we compare how their teammates have done.

 

[sayon basak]

If you include 1 and 3 somehow, I think it will be far more fair.

Also could apply the formula for players performance against different countries, consider them as having different weight and add them up, But I'm too lazy to even think of doing that.

Guess I'll think about it now.

 

[Coronis]

Really nice effort. Though I think this formula provides a big advantage to players playing for weaker teams. Like Keith Miller played for one of the strongest teams ever, so ofcourse he suffers when put against Shakib and we compare how their teammates have done.

Yeah Miller’s bowling looks relatively average in that team

 

[capt_Luffy]

Yeah Miller’s bowling looks relatively average in that team

And his batting borderline below for a frontline bat.......

 

[LangleyburyCCPlayer]

Really nice effort. Though I think this formula provides a big advantage to players playing for weaker teams. Like Keith Miller played for one of the strongest teams ever, so ofcourse he suffers when put against Shakib and we compare how their teammates have done.

If you compare how the players did against all players in the same match it might be more realistic (though that doesn’t account for strength of opponents), interesting nonetheless

 

[capt_Luffy]

If you compare how the players did against all players in the same match it might be more realistic (though that doesn’t account for strength of opponents), interesting nonetheless

Was thinking the same. Is probably fairer that way.

 

[Starfighter]

Though I think this formula provides a big advantage to players playing for weaker teams.

That is a contention worth considering. Is playing in a weaker team really worsening a given player's average? And if so, by how much? What's the dependence of a player's average on their teammates?

 

[sayon basak]

That is a contention with considering. Is playing in a weaker team really worsening a given player's average? And if so, by how much? What's the dependence of a player's average on their teammates?

I think the players performing in a weaker team should get some advantage, but your point stands. Probably should've set the weight a bit lower for that.