HomeFacebook Scrabble League Round 178 Division 1Click any result to see the two players' history
E =
Elo Value

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Adebiyi M
  
Elo: 5641

Matt K
  
Elo: 5686

Abi A
  
Elo: 5681

Susan E
  
Elo: 5621

Maureen L
  
Elo: 5546

Rob M
  
Elo: 5592

Danny P
  
Elo: 5659

Charles M
  
Elo: 5643

Emmanuel E
  
Elo: 5581

Stewart H
  
Elo: 5557

Mike W
  
Elo: 5478

Debbie M
  
Elo: 5555

Amanda C
Elo: 5522
Adebiyi M
479
Amanda C
339
Elo:
-8
Matt K
461
Amanda C
409
Elo:
-6.7
Abi A
532
Amanda C
347
Elo:
-6.9
Amanda C
544
Susan E
372
Elo:
+15.3
Maureen L
drew with
Amanda C
483-483
Elo:
0.8 to
Amanda C
First word
TIT


Elo:
+14.4 / -9.6
Amanda C
506
Danny P
342
Elo:
+16.5
Charles M
495
Amanda C
423
Elo:
-8
Emmanuel E
471
Amanda C
353
Elo:
-10
Stewart H
560
Amanda C
425
Elo:
-10.8
Amanda C
487
Mike W
374
Elo:
+10.5
Amanda C
398
Debbie M
335
Elo:
+13.1
Progress this roundChange in Elo rating+5.8
for Amanda CranwellBest score544 vs Susan Edge
Total points scored4714 in 11 games
Average points per game428.5
Total margin-190
Best margin172 vs Susan Edge
Average margin-17.2
 
Personal Bests for Amanda Cranwell

Top Score: 620
vs who scored 440 in round 108
 
Best Margin: 391
591 - 200 vs in round 54
 
Best Joint Score: 1118
540 - 578 with in round 107
 
Amanda Cranwell was tournament champion
in round 104


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.