HomeFacebook Scrabble League Round 51 Division 6Click any result to see the two players' history
E =
Elo Value

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Liz C
  
Elo: 4895

Trev L
  
Elo: 5134

Andrea W
  
Elo: 5018

Sarah-J... H
  
Elo: 4942

Steve S
  
Elo: 5071

Maurice M
  
Elo: 5106

Louise L
  
Elo: 5157

Sanjeev S
  
Elo: 5470

Carol C
  
Elo: 5317

Nana S
  
Elo: 4908

Chris D
  
Elo: 4981

Jo T
  
Elo: 5121

Debbie N
Elo: 4946
Liz C
383
Debbie N
314
Elo:
-13.7
Debbie N
421
Trev L
376
Elo:
+17.9
Andrea W
529
Debbie N
444
Elo:
-9.5
Sarah-J... H
415
Debbie N
382
Elo:
-12.1
Steve S
395
Debbie N
359
Elo:
-7.9
Maurice M
469
Debbie N
362
Elo:
-6.8
Louise L
482
Debbie N
335
Elo:
-5.5
Sanjeev S
445
Debbie N
330
Elo:
-1.1
Carol C
398
Debbie N
386
Elo:
-2.5
Debbie N
435
Nana S
411
Elo:
+10.7
Debbie N
499
Chris D
419
Elo:
+13.2
Debbie N
593
Jo T
395
Elo:
+17.6
Progress this roundChange in Elo rating+0.3
for Debbie NaylorBest score593 vs Jo Taylor
Total points scored4860 in 12 games
Average points per game405
Total margin-257
Best margin198 vs Jo Taylor
Average margin-21.4
 
Personal Bests for Debbie Naylor

Top Score: 593
vs Jo Taylor who scored 395 in round 51
 
Best Margin: 329
557 - 228 vs Ndubisi Onuorah in round 76
 
Best Joint Score: 1173
587 - 586 with Elisabeth Jardine in round 31


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.