HomeFacebook Scrabble League Round 51 Division 21Click any result to see the two players' history
E =
Elo Value

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Asekhame O
  
Elo: 5213

Manoj P
  
Elo: 5000

David B
  
Elo: 4761

Hassan K
  
Elo: 5006

Gwen C
  
Elo: 5084

Pauline C
  
Elo: 4976

Di T
  
Elo: 4832

James M
  
Elo: 4474

Ian M
  
Elo: 4896

Anna C
  
Elo: 4839

Francis T
  
Elo: 5225

Penelope R
Elo: 5000
Asekhame O
414
Penelope R
359
Elo:
-5.4
Manoj P
396
Penelope R
312
Elo:
-12
Penelope R
440
David B
348
Elo:
+4.8
Hassan K
339
Penelope R
289
Elo:
-11.8
Gwen C
423
Penelope R
376
Elo:
-9.2
Penelope R
532
Pauline C
228
Elo:
+11.2
Penelope R
446
Di T
202
Elo:
+6.6
James M
374
Penelope R
368
Elo:
-22.9
Ian M
405
Penelope R
374
Elo:
-15.5
Penelope R
427
Anna C
327
Elo:
+6.8
Francis T
489
Penelope R
340
Elo:
-5.2
Progress this roundChange in Elo rating-52.6
for Penelope RoseBest score532 vs Pauline Cilia
Total points scored4263 in 11 games
Average points per game387.5
Total margin318
Best margin304 vs Pauline Cilia
Average margin28.9
 
Personal Bests for Penelope Rose

Top Score: 532
vs Pauline Cilia who scored 228 in round 51
 
Best Margin: 304
532 - 228 vs Pauline Cilia in round 51
 
Best Joint Score: 985
532 - 453 with Maureen Lilygreen in round 55


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.