HomeFacebook Scrabble League Round 51 Division 8Click any result to see the two players' history
E =
Elo Value

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Adrienne B
  
Elo: 4923

Elizabeth B
  
Elo: 5402

John G
  
Elo: 4954

Peter R
  
Elo: 5000

Neville B
  
Elo: 5058

Rosemary C
  
Elo: 4905

Elliott M
  
Elo: 4768

Mark P
  
Elo: 4958

Vincent A
  
Elo: 5000

Jackie W
  
Elo: 4906

Judith M
  
Elo: 4879

Heidy R
  
Elo: 4956

Sheryl D
Elo: 5112
Adrienne B
324
Sheryl D
323
Elo:
-18
Elizabeth B
428
Sheryl D
381
Elo:
-3.8
John G
420
Sheryl D
316
Elo:
-17.1
Sheryl D
368
Peter R
364
Elo:
+8.3
Sheryl D
451
Neville B
314
Elo:
+10.1
Sheryl D
507
Rosemary C
290
Elo:
+5.6
Sheryl D
408
Elliott M
296
Elo:
+2.9
Mark P
423
Sheryl D
335
Elo:
-17
Vincent A
448
Sheryl D
367
Elo:
-15.7
Sheryl D
413
Jackie W
373
Elo:
+5.6
Sheryl D
459
Judith M
314
Elo:
+5
Sheryl D
413
Heidy R
395
Elo:
+6.9
Progress this roundChange in Elo rating-27.2
for Sheryl DavidsonBest score507 vs Rosemary Clifton
Total points scored4741 in 12 games
Average points per game395
Total margin352
Best margin217 vs Rosemary Clifton
Average margin29.3
 
Personal Bests for Sheryl Davidson

Top Score: 543
vs Dom Borg who scored 281 in round 177
 
Best Margin: 327
504 - 177 vs Joseph Bartram in round 32
 
Best Joint Score: 1022
532 - 490 with Nana Selewa in round 75


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.