Elo Rating System: Explaining Statistic Details

In summary, the Elo rating system is based on the assumption of normal distribution and compares a player's expected value with their actual score. This expected value represents the probability of winning or drawing a game, and if a player's score is higher than their expected value, they may gain a higher rank. However, the logic behind this comparison may be unclear and considered a heuristic approach.
  • #1
luxxio
44
0
who can explain me the statistical details under the elo rating system? in particular why the expeted value rapresent the score of the game. thanx
 
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  • #3
zli034 said:
Good to know, Elo's assumption is based on normal distribution as well.
Details here:
http://en.wikipedia.org/wiki/Elo_rating_system

i know this reference. the question is why the expected value is compared with the score of a player. really i can't understand the logic behind this.
 
  • #4
if I have a score higher than the expectation of my performance, you can infer I'm doing better than my early plays. then I should gain higher rank.
 
  • #5
zli034 said:
if I have a score higher than the expectation of my performance, you can infer I'm doing better than my early plays. then I should gain higher rank.

yes i know this tale. the question is a little different. the expected score is the probability of win and half the probability of draw. and so question is why this probability is compared with the actual score?
 
  • #6
heuristic
 

Related to Elo Rating System: Explaining Statistic Details

1. What is the Elo Rating System?

The Elo Rating System is a statistical method used to calculate the relative skill levels of players in chess and other competitive games. It was designed by Arpad Elo in the 1960s and has since been adopted in various other sports and games.

2. How does the Elo Rating System work?

The Elo Rating System works by assigning a numerical rating to each player based on their performance in previous games. When two players with different ratings compete against each other, the player with the higher rating is expected to win. If the higher-rated player wins, they will only gain a few points, while the lower-rated player will lose more points. However, if the lower-rated player wins, they will gain a significant number of points, while the higher-rated player will lose a significant amount.

3. What is the significance of the K-factor in the Elo Rating System?

The K-factor is a constant value that determines how much a player's rating will change after a game. It is used to adjust the rating changes based on the level of competition and the number of games played. The higher the K-factor, the greater the potential for a player's rating to change after a game.

4. Can the Elo Rating System be used in team sports?

Yes, the Elo Rating System can be adapted for team sports by calculating a team's overall rating based on the ratings of individual players. However, it may not be as accurate as in individual games since team performance is also influenced by factors such as teamwork and strategy.

5. Are there any limitations to the Elo Rating System?

Yes, there are a few limitations to the Elo Rating System. It does not take into account factors such as luck, injuries, or changes in player performance over time. It also assumes that all games are equally important, which may not always be the case. Additionally, it may not be as accurate in predicting the outcomes of games between players with significantly different ratings.

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