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How good are titled players? Lichess data analysis.

tldr: They are very good.

A while ago, I downloaded the profile information of over 300,000 Lichess players. Of those, 384 have "confirmed" titles in their profiles.

Here's a plot of the ratings of each of those players. Note that I eliminated players with fewer than 20 games played in a category, and that this was before the Classical/Rapid split.

imgur.com/a/BHguG
Nice graphs. Perhaps visualizing the data as Bell curves would make it a bit easier to see the densities at each rating and compare the average ratings of players with different titles.
@dudeski_robinson Thanks, that looks very nice!

And indeed, it's kind of interesting that for bullet and blitz, in both cases we have the rough ordering GM > IM > FM > LM > NM > CM (as roughly expected), while for classical the ordering appears to be IM > GM > LM > FM > NM > CM. So it's not just GMs and IMs being in the "wrong" order, but also FM and LM swapping places. Maybe I should start playing classical again and boost the FM curve to the right :)
hehe.

yeah. The main problem is that I use a low threshold: Only 20 games played. Higher thresholds would be more reliable, but the dataset would be too small.
How did you go to download the 384 confirmed titles profiles ?
I would like to know them.
@Catastrov I downloaded the profiles of 300,000 lichess members. Among those profiles, 384 have "confirmed" titles in their profiles.
How have you downloaded the profiles of the 300 000 lichess members ?

Thanks.

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