HomeFacebook Scrabble League Round 51 Division 9Click any result to see the two players' history
E =
Elo Value

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Bil H
  
Elo: 4956

Margaret V
  
Elo: 4761

Franche... F
  
Elo: 4840

Beer K
  
Elo: 5174

Esther K
  
Elo: 5030

John M
  
Elo: 4887

Damian O
  
Elo: 5360

David L
  
Elo: 4979

Sue T
  
Elo: 4932

Jerry U
  
Elo: 4887

Bob B
  
Elo: 5182

Peter H
  
Elo: 4692

Sheila G
Elo: 4688
Bil H
406
Sheila G
368
Elo:
-4.2
Sheila G
372
Margaret V
345
Elo:
+14.5
Franche... F
381
Sheila G
347
Elo:
-7.1
Beer K
376
Sheila G
313
Elo:
-1.4
Esther K
390
Sheila G
372
Elo:
-2.9
Sheila G
408
John M
359
Elo:
+18.2
Sheila G
390
Damian O
357
Elo:
+23.5
Sheila G
396
David L
356
Elo:
+20.2
Sheila G
347
Sue T
306
Elo:
+19.3
Sheila G
412
Jerry U
328
Elo:
+18.2
Bob B
362
Sheila G
332
Elo:
-1.3
Peter H
404
Sheila G
370
Elo:
-11.9
Progress this roundChange in Elo rating+85.1
for Sheila GreenBest score412 vs Jerry Uyheng
Total points scored4427 in 12 games
Average points per game368.9
Total margin57
Best margin84 vs Jerry Uyheng
Average margin4.7
 
Personal Bests for Sheila Green

Top Score: 577
vs Olabisi Fayokun Olugbodi who scored 400 in round 115
 
Best Margin: 319
552 - 233 vs Denby Pettitt in round 157
 
Best Joint Score: 977
577 - 400 with Olabisi Fayokun Olugbodi in round 115


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.