A cheating scandal involving five-time world chess champion Magnus Carlsen and US grandmaster Hans Niemann that has gripped the sport looks to have finally reached a conclusion following the release of a report by FIDE, the sport’s world governing body.
Statistics only really work, if you have a reasonable amount of data at hand. Obviously it was easy for the Chess.com games to find the problematic games. But Niemann only played in 13 over-the-board tournaments.
Carlsen and another (anonymous) GM said some games were suspicious. For me, this is still more accurate than the statistics they used.
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When looking at it after the fact you’re actively looking to find the problems and using analytical tools to help you figure it out. While the match is happening few people will be looking to find evidence of cheating based on analysis. Sure, you can have tools actively looking at all times, but that takes extra work, which means extra money.
It’s like when you’re looking at a bush; only when you’re actively trying to count the branches will you actually find how many there are. Only the blatant weird configurations like there being only 1 to 10 branches or so will be that obvious.