Hi Bill, is this it ?The lottery fallacy is well known.
Or perhaps this.
Well, it's not the gambler's fallacy. (Actually, there are two gambler's fallacies, which are opposites.
A four stone difference is perceptible. But the variability in results is also large.Gobang wrote:The most plausible argument to me in all this is the opinion of a player. I know what it feels like to play someone 2 stones weaker than I am and what it feels like to play with someone who is 2 stones or more stronger. There is no mistaking the difference.
If a 6d player says that Metta cheated, then I think he probably did.
As I have explained in forum/viewtopic.php?p=232862#p232862 , it is not clear at all for only one game or a few games. It is only clear for many played games.Gobang wrote:the difference between 4d and 6d+ must be as clear as day and night
This sensitivity might be a problem if we compare it to nothing. If we compare it to other game in same criteria, it is not.Bill Spight wrote: Actually, focusing on the top choice is the most sensitive measure of agreement with Leela. Adding other choices makes the statistics look impressive, but also makes them less sensitive.
Edit: Yes, I know that Frejlak is not making a statistical argument.
I don't agree, and I am old enough to know that something is not necessarily true, just because someone thinks he has "explained" it.RobertJasiek wrote:As I have explained in forum/viewtopic.php?p=232862#p232862 , it is not clear at all for only one game or a few games. It is only clear for many played games.Gobang wrote:the difference between 4d and 6d+ must be as clear as day and night
Actually, that's a plus, not a drawback. If the move is forced, the player and Leela should almost always agree. Counting B or C as a match when the move is forced is problematic.Bojanic wrote:This sensitivity might be a problem if we compare it to nothing. If we compare it to other game in same criteria, it is not.Bill Spight wrote: Actually, focusing on the top choice is the most sensitive measure of agreement with Leela. Adding other choices makes the statistics look impressive, but also makes them less sensitive.
Edit: Yes, I know that Frejlak is not making a statistical argument.
Also, focusing just on A and numbers has another drawback - A is most common forced move - in one analyzed game there was more than 20% of such moves.
To save everyone, here, the effort of the long query-time over at the EGD:jlt wrote:Winning statistics are available on the website http://www.europeangodatabase.eu/EGD/winning_stats.php
Between Jan. 2003 and June 2018...
You're right about the bias induced by McMahon but, without digressing too far down this tangent, I'd still argue that 14.4% is correct because our definitions of "4-dan" and "6-dan" are based on the same data -- mostly from McMahon tournaments, surely. In fact, the McMahon draws would also be based on that data.Uberdude wrote:Charlie, I think it is fair to point out that if a 4d plays a 6d in a McMahon tournament then (with some dependence on the level of the bar) there is a bias in that the 4d was more likely in good form and the 6d poor form for them to be drawn together. So maybe an average 4d beats an average 6d only 10% not 14% but I agree neither of those are rare.