HomeFacebook Scrabble League Round 178 Division 7Click any result to see the two players' history
E =
Elo Value

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Stephen S
  
Elo: 5005

Yvonne M
  
Elo: 4967

Jennifer E
  
Elo: 4841

Neville B
  
Elo: 5030

Sally P
  
Elo: 4941

Marjorie K
  
Elo: 4985

Sally L
  
Elo: 4849

Douglas T
  
Elo: 4928

Andy S
  
Elo: 4859

Linda G
  
Elo: 4860

Meg V
  
Elo: 4837

Brian W
  
Elo: 4853

David B
Elo: 4899
David B
376
Stephen S
373
Elo:
+15.6
Yvonne M
407
David B
269
Elo:
-9.7
David B
507
Jennifer E
392
Elo:
+10
Neville B
450
David B
357
Elo:
-7.7
Sally P
405
David B
369
Elo:
-10.6
Marjorie K
453
David B
378
Elo:
-9.1
David B
395
Sally L
378
Elo:
+10.3
Douglas T
drew with
David B
308-308
Elo:
1 to
David B
Andy S
434
David B
333
Elo:
-13.4
David B
413
Linda G
368
Elo:
+10.7
Meg V
377
David B
331
Elo:
-14.1
David B
374
Brian W
357
Elo:
+10.4
Progress this roundChange in Elo rating-6.6
for David ButlerBest score507 vs Jennifer England
Total points scored4410 in 12 games
Average points per game367.5
Total margin-292
Best margin115 vs Jennifer England
Average margin-24.3
 
Personal Bests for David Butler

Top Score: 592
vs Anna Borg who scored 314 in round 175
 
Best Margin: 289
490 - 201 vs Rama Suganthan in round 76
 
Best Joint Score: 1111
550 - 561 with Sally Plotnek 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.