amirbachar

03-19-2011, 04:51 PM

As I promised, I'll now post the rankings from 1978 to 2010.

The methodology is the based on KRACH, plus the set factoring I presented here:

http://simtheworld.blogspot.com/2011/03/new-rankings-concept-set-importance.html

The rankings are made in a way, that the expectancy of sets won will be the same as the number of sets won in the real world, of course factored by importance.

Update:

I got a suggestion from LocoPorElTenis (thanks!) to factor the results by years, so when players are at their peak, their results will count more.

I've implemented that in the following way:

After each iteration I've ranked the years for each player by their (sets won)/(expected results) in the current rankings.

Then for each player I set a year factor, where the factor for the i-th best year was (average results of the i-th year/expectations for all players)^4.65.

Then each match was factored by the minimum factor for both players in that year.

I admit the rankings makes a lot more sense now.

Full details in:

http://simtheworld.blogspot.com/2011/03/all-time-atp-rankings-update.html

Here are the top 20:

Name Ratings

1 Roger Federer 15740

2 Bjorn Borg 15554.06922

3 Rafael Nadal 14453.64331

4 Ivan Lendl 12515.61249

5 John McEnroe 12346.31073

6 Andre Agassi 11517.9761

7 Pete Sampras 11120.58706

8 Jimmy Connors 10552.42997

9 Boris Becker 9989.140947

10 Novak Djokovic 9839.656444

11 Stefan Edberg 9469.054288

12 Lleyton Hewitt 8529.975095

13 Andy Roddick 8386.351809

14 Andy Murray 8365.692677

15 Mats Wilander 7986.889212

16 Jim Courier 7439.320297

17 Juan Martin del Potro 6853.467182

18 Michael Stich 6845.329504

19 Michael Chang 6788.132475

20 David Nalbandian 6718.077676

*Players still active in bold

The methodology is the based on KRACH, plus the set factoring I presented here:

http://simtheworld.blogspot.com/2011/03/new-rankings-concept-set-importance.html

The rankings are made in a way, that the expectancy of sets won will be the same as the number of sets won in the real world, of course factored by importance.

Update:

I got a suggestion from LocoPorElTenis (thanks!) to factor the results by years, so when players are at their peak, their results will count more.

I've implemented that in the following way:

After each iteration I've ranked the years for each player by their (sets won)/(expected results) in the current rankings.

Then for each player I set a year factor, where the factor for the i-th best year was (average results of the i-th year/expectations for all players)^4.65.

Then each match was factored by the minimum factor for both players in that year.

I admit the rankings makes a lot more sense now.

Full details in:

http://simtheworld.blogspot.com/2011/03/all-time-atp-rankings-update.html

Here are the top 20:

Name Ratings

1 Roger Federer 15740

2 Bjorn Borg 15554.06922

3 Rafael Nadal 14453.64331

4 Ivan Lendl 12515.61249

5 John McEnroe 12346.31073

6 Andre Agassi 11517.9761

7 Pete Sampras 11120.58706

8 Jimmy Connors 10552.42997

9 Boris Becker 9989.140947

10 Novak Djokovic 9839.656444

11 Stefan Edberg 9469.054288

12 Lleyton Hewitt 8529.975095

13 Andy Roddick 8386.351809

14 Andy Murray 8365.692677

15 Mats Wilander 7986.889212

16 Jim Courier 7439.320297

17 Juan Martin del Potro 6853.467182

18 Michael Stich 6845.329504

19 Michael Chang 6788.132475

20 David Nalbandian 6718.077676

*Players still active in bold