HomeFacebook Scrabble League Round 51 Division 15Click any result to see the two players' history
E =
Elo Value

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Emily B
  
Elo: 5147

Susan M
  
Elo: 5044

Steve C
  
Elo: 4769

David B
  
Elo: 4913

Jill B
  
Elo: 4735

Gina D
  
Elo: 4485

Desislava D
  
Elo: 5017

Alvari T
  
Elo: 4740

Tonye W
  
Elo: 5179

Ebenezer N
  
Elo: 5225

Lucy K
  
Elo: 5179

Ayaz K
Elo: 5176
Emily B
417
Ayaz K
331
Elo:
-13
Ayaz K
457
Susan M
363
Elo:
+7.6
Ayaz K
517
Steve C
284
Elo:
+2.1
David B
379
Ayaz K
303
Elo:
-19.7
Ayaz K
416
Jill B
348
Elo:
+1.8
Ayaz K
420
Gina D
320
Elo:
+0.4
Ayaz K
402
Desislava D
332
Elo:
+6.9
Ayaz K
500
Alvari T
277
Elo:
+1.8
Ayaz K
521
Tonye W
402
Elo:
+12.1
Ayaz K
481
Ebenezer N
342
Elo:
+13.7
Lucy K
421
Ayaz K
404
Elo:
-11.9
Progress this roundChange in Elo rating+1.8
for Ayaz Akbar KaziBest score521 vs Tonye Wallace
Total points scored4752 in 11 games
Average points per game432
Total margin867
Best margin233 vs Steve Cowley
Average margin78.8
 
Personal Bests for Ayaz Akbar Kazi

Top Score: 579
vs Hilda Goodjohn who scored 454 in round 54
 
Best Margin: 321
515 - 194 vs Joseph Bartram in round 49
 
Best Joint Score: 1033
579 - 454 with Hilda Goodjohn in round 54


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.