HomeFacebook Scrabble League Round 175 Division 3Click any result to see the two players' history
E =
Elo Value

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undefined B
  
Elo: 5402

undefined G
  
Elo: 5437

undefined W
  
Elo: 5145

undefined W
  
Elo: 5552

undefined C
  
Elo: 5468

undefined H
  
Elo: 5251

undefined W
  
Elo: 5309

undefined T
  
Elo: 5341

undefined F
  
Elo: 5087

undefined W
  
Elo: 5241

undefined H
  
Elo: 5340

undefined G
  
Elo: 5264

undefined G
Elo: 5255
undefined B
482
undefined G
394
Elo:
-7.2
undefined G
489
undefined G
355
Elo:
-6.2
undefined G
427
undefined W
404
Elo:
+8.3
undefined W
469
undefined G
387
Elo:
-3.7
undefined G
377
undefined C
321
Elo:
+18.6
undefined H
379
undefined G
332
Elo:
-12.1
undefined W
437
undefined G
364
Elo:
-10.1
undefined T
420
undefined G
370
Elo:
-9.1
undefined G
429
undefined F
402
Elo:
+6.6
undefined W
364
undefined G
321
Elo:
-12.5
undefined G
438
undefined H
406
Elo:
+14.9
undefined G
542
undefined G
344
Elo:
-11.7
Progress this roundChange in Elo rating-24.2
for Charlotte GrayBest score438 vs Peter Hunt
Total points scored4538 in 12 games
Average points per game378.1
Total margin-577
Best margin56 vs Maeve Catney
Average margin-48
 
Personal Bests for Charlotte Gray

Top Score: 611
vs Patzi Sargent who scored 315 in round 130
 
Best Margin: 315
565 - 250 vs Seán Smith in round 77
 
Best Joint Score: 1034
518 - 516 with Mark Mc in round 89


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.