I'm sure it's in these posts, but the formula...
(Number of Opponents * Number of Wins) / ((Number of Opponents * Wins) + Losses)
In the first half, Number of Wins of what (where's that number come from)?
In the second half, it is Opponents * Wins then + Losses right?
In the second half, what is Wins and Losses (where do these numbers come from)?

Using 11's formula from post 46, I simplified a part of the original formula by substitution.

(total # of players - 1) = # of Opponents

If I understand your second question correctly: Order of operations would have you do the multiplication first.

I'm not sure what you are asking in your last question.

throw commas around 'or "Gamesize Adjusting"' and i'm good!

M57 wrote:
I'm not sure what you are asking in your last question.

Where does the number for Wins and Losses come from?

I assume they are the total number of Wins you've accumulated and the total number of losses.

I just tried plugging numbers into the 5-player game example, and it didn't work for me. I think we need to go to the source (Hugh) and get a definitive equation.

On the other hand, Tom should be able to write it.  After all, ..he coded it.

Probably stating the obvious, but if we go with a percentage #, regardless of what we call it, it should be at least three digits long. (like 56.4% or 56.38%)

I can see how a scientific discovery by Professor Bob becomes known as the Charles Effect, all you need is for someone to keep calling it that until everyone else gives up.

So in the spirit of 'apparently voting often makes sense', I'd like to vote yet again, this time for anything other than GAWP, please. GAWP sounds like a word you'd make up to describe throwing up a little bit in your mouth, and every time I read it I GAWP.

So GAW, or GAVA, or WPAG, or NWP, or YAMS, or any other combination of letters if you must go the cutsey annoying force-it-into-an-acronym route. I'm gonna have to look at this in comments for the life of this site, please don't make me GAWP every time I do.

As far as the formula here it is in words:

Take your total games played, subtract wins to get your total number of losses, each of these adds 1 to the denominator. Then, for each different game size, take the number of wins and multiply by the total number of players who are not you. Add this number to both the numerator and the denominator. Divide.

So, I've only played 10 5-player games, and I've won 2:

numerator = (4*2) = 8
denominator = 8 + (4*2) = 16

= .5

GAWP!

Gamesized Adjusted Ranking (GAR)
Percentage of Adjusted Wins (PAW)
Fine-Tuned Win (FTW) Percentage
G2 Rating

and just to keep you GAWPing 11s...
GAWP!

11's hates it.  So GAWP it must be..

OK, After parsing 11's description, I somehow figured it out.

I have:

{Sigma(W*O)}/{Sigma (L+(W*O))}

where:

W = total number of Wins in that category of #-player games.
L = total number of Losses in that category of #-player games.
O = the number of Opponents that you would play if you played one game in that category.

Here it is at work on the following stats: 2/6 three-player and 1/5 five-player (11 Games total)

Numerator    = {(W)2 * (O)2} + {(W)1 * (O)4} = 4 + 4 = 8

Denominator ={ (L)4 +((W)2 * (O)2))} + { (L)4 +((W)1 * (O)4))} = 8 + 8 = 16

So we have 8/16 for a GAWP of 50%

If you then went 1/7 in a series of 7-player games, you would add 6 to the numerator and 12 to the denominator to arrive at 14/28 and a GAWP of 50%

I just noticed that there was a subtle bracketing error in 11s post#46, so this is a possible source of confusion. M57's above post#109 compresses it very nicely.

Yertle, is your question about the origins of the terms about clarifying how the formula is calculated, or are you asking what motivates the particular terms we see in the formula? In your post#101, the multiplicative formula you give is correct within a game category, as long as #_of_Opponents is interpreted as # of opponents in the won games (not total # of opponents in all games).

I really liked Weathertops post#99 description with the exception of the sentence beginning "Expressed as a percentage".

The name "debate" has been fun to read ;)

Hugh wrote: I just noticed that there was a subtle bracketing error in 11s post#46, so this is a possible source of confusion. M57's above post#109 compresses it very nicely.

Yertle, is your question about the origins of the terms about clarifying how the formula is calculated, or are you asking what motivates the particular terms we see in the formula? In your post#101, the multiplicative formula you give is correct within a game category, as long as #_of_Opponents is interpreted as # of opponents in the won games (not total # of opponents in all games).

I think M's 109 cleared it up, although I don't think that's what I would have deducted from the condensed version, so the question is then should the formula be in the Help since it does take a bit more clarification (IMO).

I agree with the sentiment that the help file description should be brief and concise. Putting the math in the help file will likely lead to confusion. Perhaps a link to a post giving the details of the calculation is enough (some sort of closed off forum post perhaps?) Obviously it would be hard to sort it out of this particular thread.

I should also say that I have formulas related to the rating that may be of interest that I have not revealed yet. These are: Converting a k-player win percentage to the GAWP/H-Rating/___ and the Global Rating increase per game based on a particular GAWP/H-Rating/___. These are numbers that I believe the glory-chasers would be interested in.

I agree. The equation, even as compressed as it is and with the variables concisely defined will probably not be that helpful to most. An eventual link to the math for all of this stuff is probably the way to go.

Hugh, is the current text definition/description adequate to the task?

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The Gamesize Adjusted Win Percentage (GAWP) is a statistic that expresses your win percentage with respect to the expected norm. Obviously, the larger the number of opponents you face in a game, the lower your probability of winning. The GAWP takes this into account by normalizing, or “Gamesize Adjusting”, those larger games by taking the results of all of your games.

Expressed as a percentage, a 50% GAWP means you are expected to win half of your two-player games and a GAWP of 62.5% means that you are expected to win 5/8ths of these games. 

Because the stat is gamesize adjusted, if you play nothing but five-player games and you win 1/5th of them (as would be normally expected), your GAWP would also be 50%.

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I'm calling it H-rating regardless. So.

asm wrote: I'm calling it H-rating regardless. So.

Yep. H follows G, Hugh starts with an H, natural.

So, it's on Iroll11's to concoct the improved H-rating. Go.

Wouldn't that be an I-rating?

GAWP sounds like a medieval disease.

M57 wrote: Wouldn't that be an I-rating?

He's gotta earn it.

M57 wrote: Wouldn't that be an I-rating?

Yep. I follows H, IRoll11s starts with an I, natural.