First, congratulations to Justin on that fine series of performances...
BRussell is right. Other than the time decay factor individual games are given the same weight. This likely won't always be the case. Basically there is a tradoff between refined information and statistically significance. Right now that balance is shifted in the direction of needing statistical overall significance.
Here is SVB's record against a couple opponents:
Against Corey:
22 to 19 on 7' table (53.6%)
95 to 83 on 9' table (53.4%)
Against Jeremy Sossei
24 to 17 on 7' table (58.5%)
38 to 25 on 9' table (60.3%)
These numbers are kind of small, but it is looking from this like Corey is a little better player than Jeremy and that Shane is better than both. We can more or less draw at least tentatively that same conclusion from just the 7-foot results or just the 9-foot results.
But with the results combined we gain more confidence. That confidence comes at the expense of washing out the real subtle differences between how these players play on 7-foot or 9-foot tables. Those subtle differences are small though, and for now we have good reason to ignore all the implied distinctions in the question.
The system has two major flaws imo.
1) Incomplete data.
There is no way for the system to record every competative game on every player and in when games are left out the system suffers.
2) Not all games are equal.
Even Mike said earlier in this thread that at some point a more refined approach would be ideal. There are numerous examples for this need but I'll just give one. Suppose a world class player from the Philippines, who already has limited data on record, plays in a tournament that is getting recorded... and he is matched up against a 9 speed who catches a gear and plays a perfect 11 games on a bar box and shuts out the world class player 11-0.
Now that world class player, who already has limited data, has getting beat by 11 games from a 9 speed who played perfect on a bar box on his record. The world class player might not have even made a mistake but this one match will have an impact on his rating for a while now in this system.
It's not a perfect system imo by any means. I think most can just use good old fashion common sense and be more accurate.
It really boggles my mind why people seem so confused and lost with this. Fargo is not the first ELO-based rating system, and pool isn't the first sport to use it. The internet has all the information you could ever want on the subject, but instead of trying to understand the fundamentals of what Fargo is based on first, you try to poke holes in something you know nothing about.
I'm pretty sure your original question was answered as clear as possible. It's each individual game that counts, not the overall match, and each individual game is treated the same, regardless of how long the race is, what kind of match, game rules, or what size table, etc.
If you would like to understand the significance of that, and why it is the way it is, google is your friend.
Maybe Mike Page will answer, but here's my guess:
Games in the system are all equal (except that they decrease in weight over time). So it's not the matches that are equivalent, like winning a race to 5 = winning a race to 100, it's the games within those matches that count. Winning 100 games will affect the rating more than winning 5 games.
But I believe each game is equivalent, bar box, Mosconi Cup, private match, etc., as long as they go into Fargo of course. I'm sure they could weight them differently, like they do for time, but it would be subjective.
Mike, why don't you explicitly show the formula used to compute the ratings? I think that would clear up a lot of questions on how the system works. If you do, please do it on your site (and link here) so that it is there for everyone to see. Thanks.
With apologies to Mr. Page, here it is for all to see: [...]
I'm glad we could clear that up.
Thanks...
I'll respond to several of the comments here.
(1) ELO-based methods. This means different things to different people; the single unifying feature is that a player's chance of beating an opponent depends only on the rating DIFFERENCE between the two players. That statement forces a certain kind of mathematical relationship that is common to all ELO approaches. This says nothing, though, about how to GET the ratings, and how the tentative ratings get informed by new results. This is where the approaches differ. And this is where FargoRate gives FIDE--the international organization that rates chess players as well as many many implementations of ELO-type schemes--the orange crush...
2 selected data I've heard before the suggestion that if we don't record ALL tournaments or ALL matches there is a bias or a problem. This is not true. We can rate players accurately by recording only every third game they play or every match they play on odd-numbered calendar days, and so forth. We don't need to get all the tournaments or all the data. What we need is to get enough data--more is always better--and to have no bias in he selection process. If we only put in tournaments for which a particular player won his first-round match, that would be a problem.
Think of it like this. Somebody gives you a weighted coin that gives heads 61% of the time when flipped. You don't know that number but you want to figure out whether it is a fair or a biased coin and if biased by how much. You can get insight into it by flipping the coin many times. I've got excel in front of me, so I actually did this experiment. After 10 flips results are 5,5 for heads,tails. You can't tell much from that, After 100 flips it is 64,36. It is looking like the coin is biased in favor of heads, but you can't really tell by how much. 64% would be your guess. After 1000 flips results are 609,390. Now you can bet your lunch money the coin is biased. After 10,000 flips results are 6081, 3916. Now if that coin was actually flipped 30,000 times, it doesn't matter if you chose the first 10,000 or the second 10,000 or every third flip. The quality of your assessment is characteristic of 10,000 flips.
(3) Why don't we give the "formula."
There is not a formula to give. It is a mathematical optimization process. You can think of all the ratings of every player in the world as variables. And you can think of specific game/match results among those players as outcomes that are either likely or unlikely depending upon on the values of the ratings. Then you can imagine there is a set of ratings for which every match in the system coming out the way it did is most likely. This is a technique in statistical inference called maximum liklihood. The results are well defined. We just can't point to a simple formula.
4. Watchez's comments You said you don't like the font or design of our website. That kind of feedback is important to us. You also said you didn't watch the videos. That disappoints me. If you are interested, then I encourage you to start by viewing the videos. If you are not interested, then...well.. scratch that...you started a thread about it....
You said something about "Archer, who never plays." We have, just in 2015, the following tournaments for Archer: US Open 9-Ball, Jamaica Joes $2000 entry tournament, Carom Room tournament, Turning Stone, World Pool Masters, US Open 8-ball, US Open 10-ball, and Memphis Open. It is hard to imagine what are your criteria for being an active player...
With apologies to Mr. Page, here it is for all to see: [...]
It is my understanding, when talking about "ELO-based methods", that they all use wins and losses to attempt to measure the probability of any one player beating another player. If that's true, the underlying algorithm for computing the ratings should be similar. You have variables that can differ such as the k-factor, and variations of the system that add variables to attempt to make it more accurate, such as the glicko system. However, the same basic computation is involved in getting the initial ratings.
People still seem to be confused about what ELO ratings are in general. It isn't the subtle differences of your particular system that are causing the confusion. This is why there's no way anyone is going to understand what you're talking about when you try to explain your system, because they first need to understand ELO ratings.
The system has two major flaws imo.
1) Incomplete data.
There is no way for the system to record every competative game on every player and in when games are left out the system suffers.
2) Not all games are equal.
Even Mike said earlier in this thread that at some point a more refined approach would be ideal. There are numerous examples for this need but I'll just give one. Suppose a world class player from the Philippines, who already has limited data on record, plays in a tournament that is getting recorded... and he is matched up against a 9 speed who catches a gear and plays a perfect 11 games on a bar box and shuts out the world class player 11-0.
Now that world class player, who already has limited data, has getting beat by 11 games from a 9 speed who played perfect on a bar box on his record. The world class player might not have even made a mistake but this one match will have an impact on his rating for a while now in this system.
It's not a perfect system imo by any means. I think most can just use good old fashion common sense and be more accurate.
Can someone tell me how to use this site from my iPhone? I looked in the FAQ under "What options are available in the FargoRate mobile application" It says to use Find a Player, however I am unable to see that anywhere. By using the menu in the top right, I can see Home | Videos | Top Players | FAQ | Contact Us Nowhere can I see, "Find a Player". I also thought maybe there was a separate app for this, but I cannot find it in the Apple App Store under FargoRate or 'Fargo Rate'.
The APP is close, but not quite available yet. You can go to fairmatch.fargorate.com and play around with sort of a beta version of it...
Thanks...
I'll respond to several of the comments here.
4. Watchez's comments You said you don't like the font or design of our website. That kind of feedback is important to us. You also said you didn't watch the videos. That disappoints me. If you are interested, then I encourage you to start by viewing the videos. If you are not interested, then...well.. scratch that...you started a thread about it....
You said something about "Archer, who never plays." We have, just in 2015, the following tournaments for Archer: US Open 9-Ball, Jamaica Joes $2000 entry tournament, Carom Room tournament, Turning Stone, World Pool Masters, US Open 8-ball, US Open 10-ball, and Memphis Open. It is hard to imagine what are your criteria for being an active player...
I looked at your site at work where they frown on me watching videos.
Your site is pretty but simply not easy on the eyes to view info. IMO
And it should be able to click on a player and see the records so the result of how the FargoRate was put together can be seen.
People are worried about players sandbagging to keep their rating down. Here is my thought on it -- there will be a pro event sometime, somewhere and it will be seeded based on FargoRate. Johnny Archer will get a bye in the first round cause of his high rating based on data from 1998 and a player like Oscar Dominguez that plays every weekend against top flight competition will be playing a match in the first round.
So in 2015 Archer went to a whopping 7 events (US Open 8 ball and 10 ball were essentially the same event). Compare that to other players you have ranked high on your rating such as SVB, Bergman, DeChaine, Woodward, Deuel to name a few. Yes I don't think a pool player leaving his house 7 times is active. In 2014, 9 events -- slightly more but still not active. If, to you, 7 events is active then what is inactive - 1? 0? :thumbup:
It's based on games... not events, or even matches. How many games do you suspect he played in 7 events?