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

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Yvonne M
  
Elo: 4967

David B
  
Elo: 4899

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

Stephen S
Elo: 5005
Yvonne M
429
Stephen S
371
Elo:
-13.3
David B
376
Stephen S
373
Elo:
-15.6
Stephen S
450
Jennifer E
417
Elo:
+6.7
Stephen S
427
Neville B
382
Elo:
+12.9
Stephen S
429
Sally P
345
Elo:
+9.8
Stephen S
341
Marjorie K
326
Elo:
+11.3
Sally L
400
Stephen S
336
Elo:
-17.1
Stephen S
399
Douglas T
394
Elo:
+9.4
Stephen S
425
Andy S
310
Elo:
+7.2
Stephen S
438
Linda G
305
Elo:
+7.3
Stephen S
353
Meg V
317
Elo:
+6.6
Stephen S
395
Brian W
321
Elo:
+7.1
Progress this roundChange in Elo rating+32.3
for Stephen SchwartzBest score450 vs Jennifer England
Total points scored4737 in 12 games
Average points per game394.7
Total margin415
Best margin133 vs Linda Goodman
Average margin34.5
 
Personal Bests for Stephen Schwartz

Top Score: 607
vs Douglas Tsang who scored 322 in round 140
 
Best Margin: 292
483 - 191 vs Joseph Bartram in round 31
 
Best Joint Score: 999
514 - 485 with in round 64


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.