HomeFacebook Scrabble League Round 51 Division 17Click any result to see the two players' history
E =
Elo Value

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Lee M
  
Elo: 5014

Doug K
  
Elo: 5021

Martin L
  
Elo: 5521

Jack M
  
Elo: 4988

Ross W
  
Elo: 5015

Michael Q
  
Elo: 5437

Kofi B
  
Elo: 5024

Breda O
  
Elo: 5080

Iso M
  
Elo: 4427

Nigel T
  
Elo: 4651

Sam J
  
Elo: 4552

Patricia B
Elo: 4964
Patricia B
416
Lee M
387
Elo:
+13.7
Doug K
417
Patricia B
382
Elo:
-10
Martin L
526
Patricia B
339
Elo:
-0.9
Patricia B
503
Jack M
411
Elo:
+12.8
Patricia B
461
Ross W
329
Elo:
+13.7
Patricia B
484
Michael Q
331
Elo:
+22.5
Kofi B
455
Patricia B
361
Elo:
-9.9
Breda O
408
Patricia B
349
Elo:
-8.1
Patricia B
526
Iso M
313
Elo:
+1
Patricia B
400
Nigel T
331
Elo:
+3.4
Patricia B
467
Sam J
385
Elo:
+2
Progress this roundChange in Elo rating+40.2
for Patricia BlackmanBest score526 vs Iso Mullarkey
Total points scored4688 in 11 games
Average points per game426.1
Total margin395
Best margin213 vs Iso Mullarkey
Average margin35.9
 
Personal Bests for Patricia Blackman

Top Score: 615
vs Stephen Schwartz who scored 287 in round 86
 
Best Margin: 328
615 - 287 vs Stephen Schwartz in round 86
 
Best Joint Score: 985
404 - 581 with Anita Sinha Langbour in round 93


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.