Home | Facebook Scrabble League Round 175 Division 8 | Click any result to see the two players' history | |||||||||||

E = Elo Value Scroll down for details |
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Elo: 4822 | 480 419 Elo: 8 | 332 328 Elo: 12.9 | 433 342 Elo: 12.8 | 366 282 Elo: 8.1 | 395 267 Elo: 14.9 | 383 358 Elo: 11.6 | 400 314 Elo: 10.1 | 413 326 Elo: 10.2 | 400 351 Elo: 12.1 | 390 344 Elo: 10.3 | 387 337 Elo: 15.7 | ||

480 419 Elo: 8 | Elo: 4942 | 446 314 Elo: 8.9 | 480 385 Elo: 8.8 | 423 319 Elo: 4.9 | 370 290 Elo: 13.2 | 410 358 Elo: 15.6 | 470 338 Elo: 17.6 | First word VOTER 9.7 / 14.3 | 456 404 Elo: 7.9 | 495 404 Elo: 14.4 | 449 369 Elo: 12.3 | ||

332 328 Elo: 12.9 | 446 314 Elo: 8.9 | Elo: 4849 | 425 373 Elo: 12.1 | 424 372 Elo: 7.3 | 383 284 Elo: 10 | 398 269 Elo: 11.5 | 381 283 Elo: 14.7 | 369 310 Elo: 12.9 | 385 278 Elo: 13 | 382 343 Elo: 11.2 | 459 301 Elo: 14.8 | ||

433 342 Elo: 12.8 | 480 385 Elo: 8.8 | 425 373 Elo: 12.1 | Elo: 4846 | 435 336 Elo: 7.4 | 423 380 Elo: 14.1 | 446 338 Elo: 12.4 | 422 316 Elo: 9.4 | 434 358 Elo: 11 | 422 371 Elo: 12.9 | 373 327 Elo: 12.9 | 383 322 Elo: 14.9 | ||

366 282 Elo: 8.1 | 423 319 Elo: 4.9 | 424 372 Elo: 7.3 | 435 336 Elo: 7.4 | Elo: 4706 | 312 310 Elo: 5.7 | 431 360 Elo: 16.2 | drew with 369-369 Elo: 2.1 to undefined D | 407 304 Elo: 6.6 | 405 349 Elo: 8.2 | 413 354 Elo: 6.7 | 386 317 Elo: 18.9 | ||

395 267 Elo: 14.9 | 370 290 Elo: 13.2 | 383 284 Elo: 10 | 423 380 Elo: 14.1 | 312 310 Elo: 5.7 | Elo: 4908 | 429 420 Elo: 9.5 | 472 318 Elo: 7.4 | 412 360 Elo: 10.9 | 451 385 Elo: 9 | 346 339 Elo: 13.3 | 417 303 Elo: 12.8 | ||

383 358 Elo: 11.6 | 410 358 Elo: 15.6 | 398 269 Elo: 11.5 | 446 338 Elo: 12.4 | 431 360 Elo: 16.2 | 429 420 Elo: 9.5 | Elo: 4834 | 348 285 Elo: 9.7 | 454 361 Elo: 13.4 | 330 323 Elo: 12.5 | 362 314 Elo: 10.7 | 440 415 Elo: 8.7 | ||

400 314 Elo: 10.1 | 470 338 Elo: 17.6 | 381 283 Elo: 14.7 | 422 316 Elo: 9.4 | drew with 369-369 Elo: 2 to undefined D | 472 318 Elo: 7.4 | 348 285 Elo: 9.7 | Elo: 4768 | 330 235 Elo: 8.4 | 433 422 Elo: 13.7 | 349 334 Elo: 8.5 | 439 337 Elo: 6.7 | ||

413 326 Elo: 10.2 | First word VOTER 14.3 / 9.7 | 369 310 Elo: 12.9 | 434 358 Elo: 11 | 407 304 Elo: 6.6 | 412 360 Elo: 10.9 | 454 361 Elo: 13.4 | 330 235 Elo: 8.4 | Elo: 4875 | 406 396 Elo: 10.1 | 481 448 Elo: 12.1 | 382 332 Elo: 10 | ||

400 351 Elo: 12.1 | 456 404 Elo: 7.9 | 385 278 Elo: 13 | 422 371 Elo: 12.9 | 405 349 Elo: 8.2 | 451 385 Elo: 9 | 330 323 Elo: 12.5 | 433 422 Elo: 13.7 | 406 396 Elo: 10.1 | Elo: 4819 | 449 366 Elo: 13.8 | 480 322 Elo: 15.8 | ||

390 344 Elo: 10.3 | 495 404 Elo: 14.4 | 382 343 Elo: 11.2 | 373 327 Elo: 12.9 | 413 354 Elo: 6.7 | 346 339 Elo: 13.3 | 362 314 Elo: 10.7 | 349 334 Elo: 8.5 | 481 448 Elo: 12.1 | 449 366 Elo: 13.8 | Elo: 4871 | 427 353 Elo: 9.9 | ||

387 337 Elo: 15.7 | 449 369 Elo: 12.3 | 459 301 Elo: 14.8 | 383 322 Elo: 14.9 | 386 317 Elo: 18.9 | 417 303 Elo: 12.8 | 440 415 Elo: 8.7 | 439 337 Elo: 6.7 | 382 332 Elo: 10 | 480 322 Elo: 15.8 | 427 353 Elo: 9.9 | Elo: 4932 | ||

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: |

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:

- a player with a rating of 400 more than her opponent is ten times as likely to win
- a player with a rating 120 more than his opponent is expected to win two times out of three
- a player with a rating 75 more than her opponent is expected to win three times out five.

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.