So, if a player plays in 9 games, and the color that is assigned to them in each game is a fair and independent coin flip, the distribution of how many times they play white follows a binomial distribution with 9 trials and a success probability of 50 percent. This is the same distribution that would model how many times you get heads when fairly flipping a coin 9 times in a row.
In a large enough population, the observed frequencies should fairly closely approximate the binomial distribution, which is what we see here. There is a slightly approximation here, since the games sampled across players are not entirely independent (i.e., for each game that one player is assigned black, another needs to be assigned white), however this is just a relatively weak coupling that should not prevent the law of large numbers from kicking in.
Nice.
So we are verifying that colours are assigned randomly.
I would expect that pairing algorithm would try to even that number.
Actually for the majority of players we have a pretty even number of games as black and as white.
More than a thousand players have the ideal (assuming that we have 9 games for each player)
ratio of 4/5 (or 5/4). About 1850 are between 3/6 and 6/3.
I wonder though if it could be possible to have ALL players with a 4/5 ratio.
That’s definitely possible. You just need to solve that within each group. Making sure that everyone gets at max one game more (or less) as white or black is standard for chess tournaments. Same for home-guest relationship in many sports.
Total number of participants: 2233
Total number of players in this round: 2233 (100.00%)
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The following data is about the current round only.
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Disqualified or dropped out: 368 (16.48%)
Still competing: 1865 (83.52%)
Number of groups: 224
Progress: 6839 games decided out of 10038 (68.13%)
-----------------------------------------------------------
Max. games decided by a single player: 9
Min. games decided by a single player: 0
Max. games still open for a single player: 9
Min. games still open for a single player: 0
Max. fraction of games done by a single player: 100.00%
Min. fraction of games done by a single player: 0.00%
Number of players having finished all games: 476 (21.32%)
Number of players having finished no games: 57 (2.55%)
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Groups with all games finished: 5 (2.23%)
Groups with no games finished: 0 (0.00%)
At first there were many timeouts by black.
I don’t have a picture for that.
Then, about a month later, there were many timeouts by white.
You can see a quick rise by black in the first half of august.
White was still ahead though.
On october 5th black reached white and then overtook them.
What will happen now?
On the left you can see the top rankings.
Colour is for player’s rank (kyu, dan): the lighter, the higher. By hovering the mouse pointer on squares or tapping on them you’ll see more details.
On the right you can find the whole list of players, sorted by points and then alphabetically. You can find a specific player using the search box, which acts as a filter on the list. If you use the filter and then want to see all names again, you have to select “All” in the filter (on top of the list).
Thanks for the reminder. What a nice motivation! I actually grabbed the data earlier this morning already, but somehow was too lazy busy to create the diagrams and post them here.
So here comes the usual data update:
Total number of participants: 2233
Total number of players in this round: 2233 (100.00%)
-----------------------------------------------------------
The following data is about the current round only.
-----------------------------------------------------------
Disqualified or dropped out: 380 (17.02%)
Still competing: 1853 (82.98%)
Number of groups: 224
Progress: 7036 games decided out of 10038 (70.09%)
-----------------------------------------------------------
Max. games decided by a single player: 9
Min. games decided by a single player: 0
Max. games still open for a single player: 9
Min. games still open for a single player: 0
Max. fraction of games done by a single player: 100.00%
Min. fraction of games done by a single player: 0.00%
Number of players having finished all games: 527 (23.60%)
Number of players having finished no games: 48 (2.15%)
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Groups with all games finished: 6 (2.68%)
Groups with no games finished: 0 (0.00%)
I assume it’s ok to post positions from ongoing games as long as we don’t kibitz. We can ofc comment on the game pages themselves, where our thoughts are invisible to the players.
Corner fight taking place in Uri-ChoRong 8d – shahor 8d:
I plan on doing “game of the day” once the game finishing rate will settle down.
Currently, according to the information I have, from the very beginning of the tournament there was no single day without any games finishing. For 4+ months every day some amount of games met their demise.
Total number of participants: 2233
Total number of players in this round: 2233 (100.00%)
-----------------------------------------------------------
The following data is about the current round only.
-----------------------------------------------------------
Disqualified or dropped out: 395 (17.69%)
Still competing: 1838 (82.31%)
Number of groups: 224
Progress: 7225 games decided out of 10038 (71.98%)
-----------------------------------------------------------
Max. games decided by a single player: 9
Min. games decided by a single player: 0
Max. games still open for a single player: 9
Min. games still open for a single player: 0
Max. fraction of games done by a single player: 100.00%
Min. fraction of games done by a single player: 0.00%
Number of players having finished all games: 570 (25.53%)
Number of players having finished no games: 40 (1.79%)
-----------------------------------------------------------
Groups with all games finished: 7 (3.12%)
Groups with no games finished: 0 (0.00%)
