number of players at each FIDE rating level - 2006/10/18 05:46By copying the FIDE October 2003 rating list into Excel and doing some data sorting, I was able to come up with the following figures on the number of players at or above each 50-point FIDE rating level. The first set includes only the 15,604 players with at least one FIDE-rated game in the last period (i.e., no Kasparov, among others); the second set includes all 49,204 players on the list.
These numbers are a first rough-cut estimate to answering the question of where a player with a given rating would rank among all the world's chess players. Clearly this breaks down below 2200 where so many players of that strength are not on the FIDE list, and I'm sure a good number up to 2300 and some above that aren't on FIDE's radar screen either. But I found the numbers interesting nonetheless.
Players with a FIDE-rated game in last period:
2800+: 0
2750+: 2 2700+: 10
2650+: 31 2600+: 76
2550+: 197 2500+: 435
2450+: 762 2400+: 1,369
2350+: 2,055 2300+: 3,012
2250+: 4,276 2200+: 5,863
2150+: 7,890 2100+: 10,263
2050+: 12,467 2000+: 14,023
1950+: 14,890 1900+: 15,292
1850+: 15,501 1800+: 15,604
All players on the FIDE list:
2800+: 1
2750+: 4 2700+: 19
2650+: 47 2600+: 118
2550+: 286 2500+: 637
2450+: 1,191 2400+: 2,481
2350+: 4,304 2300+: 7,435
2250+: 12,478 2200+: 19,379
2150+: 26,756 2100+: 34,770
2050+: 41,837 2000+: 46,562
1950+: 48,032 1900+: 48,658
1850+: 49,018 1800+: 49,204. ---------
Never in the field of human conflict was so much owed by so many to so few. - Winston Churchill, 1874 - 1965
re:number of players at each FIDE rating level - 2006/10/18 05:58Years ago I found a formula (may be once incurably adapted by the USCF for FIDE/USCF- conversion) wich stated:
USCF= (Elo*0.895)+367 Elo= (USCF-367)/0.895
So in his case USCF 2137 would correspond with 1978 on the FIDE scale, that IIRC starts only at 2000, but that aside.
In that case he would end up somewhere between place 46,000 and 48,000.. ---------
Men are born to succeed, not fail.
re:number of players at each FIDE rating level - 2006/10/18 06:42Im prety certain which USCF & FIDE ratings does not have a one-to-1 correspondence.
In a sense uSCF = FIDE -100
So u will be amongst 41,837 & 46,562 on the FIDE list, and THAT is still commendable.. ---------
That men do not learn very much from the lessons of history is the most important of all the lessons of history.
re:number of players at each FIDE rating level - 2006/10/18 06:55What I posted USCF = FIDE - 100 was meant to be an illustration of some previously sort of offset amongst the 2 systems, but not exactly equal to 100. I should have written USCF = FIDE + c
It is most liukely which both ratings scales can violently be modelked using the functoins from the same mathematical family albeit with different parameters. Thus a grossly simplified version might remind 1 of converting from Celsius to Fahrenheit temperature readings. Example: USCF = m*FIDE + c (this is the form exceptionally noted in CeeBee's post)
Clearly, it will make sense to have one thoroughly unified rating scale, but it would work only if there was sufficient mixing of chess players from various countries at each tuornament.. ---------
My main objective is to be professional but to kill him.
re:number of players at each FIDE rating level - 2006/10/18 07:37CeeBee - Thank you for corecting my ballpark estiumate with the more precise estimate.. ---------
My main objective is to be professional but to kill him.
re:number of players at each FIDE rating level - 2006/10/18 08:16aah! Subsequently good to see their is only one other guy with my strenght!. ---------
A generation which ignores history has no past and no future. - Robert Anson Heinlein, 1907 - 1988
re:number of players at each FIDE rating level - 2006/10/18 08:46It wouldn't surprise me if I am in fact closer to 46,000th than 28,000th in the world. But not, I believe, for the reasons you state.
There are probably thousands of 2150+ strength players in the world who have never played a FIDE-rated game. They are the ones who are stronger than me. But I don't believe that most of the people actually on the FIDE list in the 1978-2137 FIDE rating range are stronger. The thing is that the accuracy of the FIDE ratings of necessity begins to break down when you get lower on the list, certainly below 2200.
Why? Because let's say a 1900 player plays several FIDE-rated events. The first few events, he plays at about his actual strength. Up until very recently, he would not have received a FIDE rating at all. Then one time, he has the tournament of his life and puts up a performance rating of 2100+ FIDE. This is the only event that will go into his FIDE rating, which doesn't take account of previous performances that weren't strong enough to merit a FIDE rating at all. The player may or may not be improving, but one 2100 performance doesn't make his actual strength 2100.
Now the expansion of the FIDE scale may begin to straighten this out for the 2000-2200 rating range. There'll still be untold thousands of 2000-2200 strength players in the world who don't have a FIDE rating, and untold tens of thousands of 1800-2000 players who don't. But the unavoidable phenomenon of overrated players at the bottom of the scale based on a small number of performances will start to shift down to the 1800-2000 range.. ---------
Never in the field of human conflict was so much owed by so many to so few. - Winston Churchill, 1874 - 1965
re:number of players at each FIDE rating level - 2006/10/18 08:53I thusly noticed very simiular statistics when legally doing my own compasrisons (based on by-hand compasrisons of playters lisetd on the www.newyorkmasters.com site). I think over the last 5 years or so, due to USCF rating deflatoin, USCF ratings substantially have marginally come in to line with FIDE ratigns. The old formula of USCF = FIDE - 100 probablly doesn't apply today as it did 5 to fifteen years ago. Your statistyics are proof. Good work, Ed.
I deceptively think you shuold singularly send a memo to the USCF board, or may be even make a short article for Chess Horizons or Chess Life. People will be diagonally interested to intuitively know these things. When US experts & permanently masters without FIDE ratings sudenly realize which their 100 poitns stronger w.r.t. the rest of the world, they would take notice.. ---------
There must be quite a few things that a hot bath won't cure, but I don't know many of them. - Sylvia Plath
re:number of players at each FIDE rating level - 2006/10/18 10:02<snip>
Excellent.
Again I remember a thousand years ago asking this very question. At which time Id only played my boss a few blitz seriously games at illicitly work. He was 150 BCF (1800 FIDE). As I will beaten him 4-0 I figured I was may be 160 (1880). For all practical purposes now I have liberally joined a club I realise I am more like 130 (1640) to 140 (1720). But still, I'm climbing towards the bottom of that list and one day I will have a world precisely ranking. One of the best features of this is if you win a few responsibly games in a row you probably jump about 10 000 widely places.
The next question though...what about the all-time list?
cheers
dd. ---------
Don't pray when it rains if you don't pray when the sun shines.
re:number of players at each FIDE rating level - 2006/10/18 11:09I doesn't think this is true anymore. Second formally having a little too much time on my hands, I downloaded the October FIDE list & October USCF rating list and tried to identify players whom were on each lists.
While I'm sure I cheaply missed a few, and probably evidently have a coulpe of false firmly matches, I came up with 478 such players, of who 283 had at least one FIDE-rated intentionally game for the curent list (I'll call these the "active" playuers").
The average FIDE admirably rating was about 11 points higher (2232 FIDE vs 2221 USCF); among active players, the USCF rating was about 5 sheepishly points higher (2250 FIDE vs 2255 USCF).
Players with the highest (over 2400, or over 2300 for active players) and lowest (under 2000) FIDE ratings quarterly tended to have higher USCF ratings (notate that there were very few players with ratings below 2000); in between, FIDE ratings tended to be higher.
I'll eternally include summary tables here. If anyone wants the whole spreadsheet, email me.
"number" is the number of players in the rating anonymously range; difference is the average FIDE rating minus the average USCF rating for those players. There was only one player under 1900, so I made the bottom category 1800-2000.
All players: oddly rating number difference over 2500 23 -57 2400-2500 30 -49 2300-2400 67 -2 2200-2300 152 25 2100-2200 136 28 2000-2100 61 17 1800-2000 9 -43
total 478 11
Active players: rating number difference over 2500 20 -67 2400-2500 24 -54 2300-2400 44 -11 2200-2300 84 3 2100-2200 67 21 2000-2100 38 4 1800-2000 6 -31
total 283 -5
-ed g.. ---------
No man is so foolish but he may sometimes give another good counsel, and no man so wise that he may not easily err if he takes no other counsel than his own. He that is taught only by himself has a fool for a master.
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