Good thinking into this. There will always be detractors. My opinion is that no mathematical model will prove 100 % the better player.
One point I'd make is that a player who plays for his stats will feature higher.
FYI, there was another model used some time back by the Cricketer mag.
Here's how it goes.
1. Pick a list of top AR ( this is imp, if you pick Hammond or Akram, will affect results for all)
2. Add their batting avg and find the mean avg
3. Determine how far their avg is from the mean avg ( + or - ).
e.g. Sobers will have many + points, Hadlee will have - points.
4. For bowling, use (lets say)
Effective Bowling Avg = Square root of avg x strike rate
5. Add these numbers and find the mean.
6. Determine how far each AR is from the mean
e.g. Hadlee will have many + points, Sobers will have - points
7. Add each AR + and - points and rank them.
One point I'd make is that a player who plays for his stats will feature higher.
FYI, there was another model used some time back by the Cricketer mag.
Here's how it goes.
1. Pick a list of top AR ( this is imp, if you pick Hammond or Akram, will affect results for all)
2. Add their batting avg and find the mean avg
3. Determine how far their avg is from the mean avg ( + or - ).
e.g. Sobers will have many + points, Hadlee will have - points.
4. For bowling, use (lets say)
Effective Bowling Avg = Square root of avg x strike rate
5. Add these numbers and find the mean.
6. Determine how far each AR is from the mean
e.g. Hadlee will have many + points, Sobers will have - points
7. Add each AR + and - points and rank them.