| |
BGonline.org Forums
My reply to comments in DailyGammon. It may be helpful here also.
Posted By: MK In Response To: Last bot-vs-bot, cubeful-vs-cubeless experiment results. (MK)
Date: Sunday, 25 August 2024, at 3:17 a.m.
I will write a brief combined reply to all for now and a longer one later.
After all those discussions, Zorba still doesn't have clue as to what these experiments are about but does waste everyone's time with his meaningless, irrelevant, repetitive blabberings.
Ian seem to be keeping an open mind to understand what the results may mean, which would be better than nothing even if limited to his own interpretation of them, but he can't seem to make progress being stuck in the ppg rut.
Hopefully, Aganju and others like him may be trying to understand quietly without contributing comments.
The main question here is: "What, if anything, does the doubling cube add to backgammon?"
One way that this can be answered is by making two consistent checker players of different skills, (bots are perfect for this), play cubeless and then cubeful games (with equal cube skill applied to both players).
To compare results in two different type of games, ppg doesn't work, as it wouldn't work to compare inflation for different sectors, costs of goods in different countries, virus infection rates in different continents, election results in different states, etc. because of different sizes of "containers" such as average incomes, population sizes, etc.
Percent, however, is a universal mathematical concept that works for all kinds of comparisons, including the results of my various experiments.
The correct writing of percent is actually "per cent" (from Latin "per centum"). The joined form may have come from having to write words derived from it such as "percentage", "percents", etc. as single words. And I'm sure you all know that "cent" means "hundred", i.e. "100".
When we say "per cent", the "cent" is not a variable but is a constant value.
When we say "per game", the "game" is a variable of undefined value.
In "ppg", "games" are "containers of unknown sizes" that hold some numbers of points. In cubeful play, games hold, i.e. are worth, more points than in cubeless play on the average and that's why you can't just compare raw ppg's for the purpose I stated above. I tried to explain this using "berries per bucket or basket", etc. but unfortunately it doesn't seem to have helped anyone.
Unless you guys understand this, you will not be able to benefit from my experiments by drawing the correct conclusions.
BTW: If you guys don't deem my 20,000 trials enough, nobody is preventing you all from running my scripts for as many trials as you want.
| |
BGonline.org Forums is maintained by Stick with WebBBS 5.12.