HomeFacebook Scrabble League Round 178 Division 10Click any result to see the two players' history
E =
Elo Value

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Gina D
  
Elo: 4517

Michael M
  
Elo: 4585

Segun O
  
Elo: 4558

Jenny M
  
Elo: 4539

Powell C
  
Elo: 4879

Alison W
  
Elo: 4611

Bryan P
  
Elo: 4483

Lynette L
  
Elo: 4270

Jackie M
  
Elo: 4265

Mags w
  
Elo: 4237

Joseph B
  
Elo: 3899

Philip J
  
Elo: 4901

Fran M
Elo: 4543
Fran M
391
Gina D
300
Elo:
+11.1
Michael M
408
Fran M
373
Elo:
-10.6
Fran M
424
Segun O
339
Elo:
+12.5
Jenny M
377
Fran M
343
Elo:
-12.1
Powell C
170
Fran M
124
Elo:
-3
Alison W
377
Fran M
348
Elo:
-9.7
Fran M
334
Bryan P
299
Elo:
+9.9
Lynette L
329
Fran M
318
Elo:
-19.9
Fran M
353
Jackie M
250
Elo:
+4
Fran M
356
Mags w
311
Elo:
+3.5
Fran M
430
Joseph B
168
Elo:
+0.6
Philip J
420
Fran M
340
Elo:
-2.7
Progress this roundChange in Elo rating-16.4
for Fran MarcelisBest score430 vs Joseph Bartram
Total points scored4134 in 12 games
Average points per game344.5
Total margin386
Best margin262 vs Joseph Bartram
Average margin32.1
 
Personal Bests for Fran Marcelis

Top Score: 508
vs Joseph Bartram who scored 133 in round 64
 
Best Margin: 375
508 - 133 vs Joseph Bartram in round 64
 
Best Joint Score: 915
393 - 522 with Rob Robinsky in round 67


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.