HomeFacebook Scrabble League Round 178 Division 8Click any result to see the two players' history
E =
Elo Value

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jean b
  
Elo: 4823

Elliott M
  
Elo: 4860

Sheryll H
  
Elo: 4775

Lynn G
  
Elo: 4822

Adrienne B
  
Elo: 4890

Lorraine O
  
Elo: 4778

Sue T
  
Elo: 4835

Jagdish H
  
Elo: 5040

Margaret H
  
Elo: 4794

Denise L
  
Elo: 4801

Pam B
  
Elo: 4825

Ber M
  
Elo: 4852

Andrew D
Elo: 4734
jean b
353
Andrew D
349
Elo:
-9
Andrew D
385
Elliott M
353
Elo:
+16.2
Sheryll H
447
Andrew D
372
Elo:
-10.6
Andrew D
408
Lynn G
346
Elo:
+15
Adrienne B
391
Andrew D
369
Elo:
-6.9
Lorraine O
393
Andrew D
339
Elo:
-10.5
Sue T
386
Andrew D
370
Elo:
-8.6
Jagdish H
400
Andrew D
332
Elo:
-3.5
Margaret H
369
Andrew D
347
Elo:
-9.9
Andrew D
401
Denise L
308
Elo:
+14.3
Pam B
372
Andrew D
325
Elo:
-8.9
Ber M
393
Andrew D
349
Elo:
-8.1
Progress this roundChange in Elo rating-30.5
for Andrew DuncanBest score408 vs Lynn Goold
Total points scored4346 in 12 games
Average points per game362.1
Total margin-165
Best margin93 vs Denise Ledbury
Average margin-13.7
 
Personal Bests for Andrew Duncan

Top Score: 617
vs Segun Okoya who scored 327 in round 133
 
Best Margin: 375
385 - 10 vs Terry Smart in round 83
 
Best Joint Score: 944
617 - 327 with Segun Okoya in round 133


Notes on Ratings
Under the Elo ratings system, the winner of a game gains a number of ratings points and the losing player loses the same number. The number of points won or lost depends on the difference between the ratings of the two players; a player will gain more points by beating a higher-rated player than by beating a lower-rated player.

Where games have been completed, the chart above shows the actual number of ratings points passed from the loser to the winner. Where games are unfinished, two numbers are shown in the form A/B. A is the number of points to be transferred if the player in the row wins and B is the number of points if the player in the column wins.

For example
Mildred
Elo 5051
If Joe wins he will gain 9.5 rating points from Mildred but if Mildred wins she will gain 14.5 rating points from Joe. Mildred stands to earn more than Joe from winning the game because Joe is the higher rated player and is expected to win more often.
Joe
Elo 5123
E: 9.5 / 14.5

In the case of a draw, the lower rated player wins points from the higher rated player, but fewer points than if he or she had won the game.

The value of each game is based on the players' rating at the start of each round. At the end of the round, the points won and lost on each game are added up and the players' rating are adjusted and rounded to the nearest whole number for the next round.

The difference in two players' Elo ratings implies an expectation of how often each of them will win when playing each other. Under the system we use:

Notes on Statistics
μ (mu) is the mean score, ν (nu) is the median score and Mo is the mode. Mean, median and mode are three different kinds of averages. The mean score is the total number of points divided by the number of games played. The median score is the middlemost score (or the mean of the two middlemost scores) when they are sorted from high to low. The mode is the most frequent score and is only helpful after a large number of games.

σ (sigma) is the standard deviation. This is a measure of how consistent the player is. The smaller the value of σ, the more consistent. 68% of the player's scores are within one standard deviation above or below the mean and 95% are within two standard deviations.

Sk is median skewness. Skewness is a measure of how asymmetrical the graph is. There are many measures of skewness; we've chosen median skewness because it's the easiest to calculate! A positive value means there are more scores above the middle of the graph than below, a negative value vice versa.