HomeFacebook Scrabble League Round 51 Division 2Click any result to see the two players' history
E =
Elo Value

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Natalie Z
  
Elo: 5379

Karen R
  
Elo: 5263

Mohamed K
  
Elo: 5297

Steve P
  
Elo: 5318

Terry M
  
Elo: 5000

Anthony P
  
Elo: 5162

Calum E
  
Elo: 5407

Dianne B
  
Elo: 5566

Peter G
  
Elo: 5437

Garth V
  
Elo: 5248

Elisabeth J
  
Elo: 5328

Terry B
  
Elo: 5449

Paul R
Elo: 5176
Natalie Z
460
Paul R
414
Elo:
-5.7
Paul R
368
Karen R
357
Elo:
+14.9
Mohamed K
510
Paul R
386
Elo:
-8
Steve P
537
Paul R
411
Elo:
-7.4
Paul R
419
Terry M
415
Elo:
+6.4
Paul R
390
Anthony P
344
Elo:
+11.5
Calum E
417
Paul R
382
Elo:
-5
Paul R
445
Dianne B
421
Elo:
+21.7
Peter G
414
Paul R
413
Elo:
-4.4
Garth V
409
Paul R
336
Elo:
-9.5
Paul R
359
Elisabeth J
353
Elo:
+16.9
Paul R
423
Terry B
409
Elo:
+19.9
Progress this roundChange in Elo rating+51.3
for Paul RichardsBest score445 vs Dianne Brumby
Total points scored4746 in 12 games
Average points per game395.5
Total margin-300
Best margin46 vs Anthony Pinnell
Average margin-25
 
Personal Bests for Paul Richards

Top Score: 540
vs Garth Van Vliet who scored 258 in round 50
 
Best Margin: 288
535 - 247 vs Mark Sorrell in round 45
 
Best Joint Score: 1025
515 - 510 with Mohamed Kamara in round 47


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.