HomeFacebook Scrabble League Round 178 Division 5Click any result to see the two players' history
E =
Elo Value

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Susan M
  
Elo: 5079

Marc T
  
Elo: 5155

Charlotte G
  
Elo: 5197

Lucy K
  
Elo: 5249

Anne M
  
Elo: 5209

Glynis L
  
Elo: 5101

Stuart C
  
Elo: 5083

Seán S
  
Elo: 5115

Audrey W
  
Elo: 5017

Patzi S
  
Elo: 5051

Tony H
  
Elo: 5100

Margaret S
  
Elo: 5054

Bob B
Elo: 5038
Bob B
432
Susan M
372
Elo:
+13.4
Marc T
429
Bob B
382
Elo:
-8.1
Charlotte G
430
Bob B
342
Elo:
-6.9
Lucy K
456
Bob B
372
Elo:
-5.5
Anne M
384
Bob B
303
Elo:
-6.5
Glynis L
448
Bob B
346
Elo:
-9.8
Stuart C
405
Bob B
356
Elo:
-10.5
Bob B
397
Seán S
317
Elo:
+14.6
Bob B
377
Audrey W
368
Elo:
+11.3
Patzi S
481
Bob B
362
Elo:
-11.6
Tony H
405
Bob B
303
Elo:
-9.9
Bob B
476
Margaret S
312
Elo:
+12.6
Progress this roundChange in Elo rating-16.9
for Bob BrooksBest score476 vs Margaret Staunton
Total points scored4448 in 12 games
Average points per game370.6
Total margin-359
Best margin164 vs Margaret Staunton
Average margin-29.9
 
Personal Bests for Bob Brooks

Top Score: 592
vs who scored 308 in round 160
 
Best Margin: 284
592 - 308 vs in round 160
 
Best Joint Score: 1017
541 - 476 with Jacqui Pearce in round 162


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.