Thanks for all the info Gamerman. Good stuff!
@Gamerman01:
Boldfresh jumps from #8 to #5. This is Exhibit A for the merit of the strength of schedule point ranking system. Look at the details of his results. 10 games played against Tier 1 players. 11 games vs. Tier 2 players. Only 5 against Tier 3 players.
I think another reason Bold jumped up, is just in the number of games played. With the exception of OBG and Soul, Bold doubled the amount of games played by any other player. I think that is another reason why Tyzoq dropped, its not necessarily due to the quality of opponent as it is he was only able to finish 6 games. Infact Tyzoq is the highest rated player of anyone with less than 10 games.
Assuming you maintain a winning percentage of over 50% and only play tier 2 players. It will always be to your advantage to play more and more games. You gain 2 for a win but lose 2 for a loss, but as long as you win over 50%, it pays to play more and more games. If you play 20 games and go 11-9, you’ll end up with 4 pts, if you play 40 and have the same win% (22-18) you end up with 8 pts. Both players have a 55% but I’m not sure player 2 is better.
I suppose you could argue it is harder to win 22 games (out of 40) against tier 2 players than it is to win just 11 (out of 20) from tier 2.
I’m wondering if you considered dividing pts by games played to come with with a players average pts per game?
I think a lot of this has to do with some relatively small samples and I think you even mentioned you had trouble rating players with only a few games.
Also note, I’m not criticising the ranking of Bold, I just used him b/c he played the most games. Bold is infact a really good player and worthy of a jump in the rankings.
Not to get too stats-y, but to steal from Baseball and something like wins above replacement, I think the fact that OBG went 11-11 and yet still had positve pts shows he’s played slightly higher than avg players.
For example if you use tier 2 (since its the avg of tier 1 and 3) as the base line you can look at your numbers:
Gamerman 12-1 and assume you had only played tier 2 you’d be at 22 pts. But your total is 21. 1 below replacement (or -1) Meaning you may not have played the strongest schedule.
Dutchman 8-2 would be at 12 pts (tier 2), but ended up with 14. +2 or 2 above replacement.
Billy 6-5 would be 2 pts but ended with 7. +5 above replacement, signifying he played a strong schedule and did well.
Tyzoq 5-1 = 8 pts but and 8. Meaning he played an average schedule.
Bold 15-11 = 8 pts but had 10. Confirms he played a tough schedule.
Intersting stuff. I think I could go on all day. lol!
Please note, I’m not critising your rankings, but I’m numbers junkie as well, just looking at different ways to use your numbers. 8-)