Home | Facebook Scrabble League Round 175 Division 10 | Click any result to see the two players' history | |||||||||||

E = Elo Value Scroll down for details |
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Elo: 4716 | 391 350 Elo: 16.9 | 351 267 Elo: 5.9 | 331 275 Elo: 18.3 | 359 284 Elo: 19 | 421 327 Elo: 8.8 | First word WEE 8 / 16 | 395 329 Elo: 6.9 | 393 301 Elo: 2 | 336 252 Elo: 0.2 | 389 271 Elo: 13.5 | First word PASS 1.7 / 22.3 | ||

391 350 Elo: 16.9 | Elo: 4564 | 348 339 Elo: 13.5 | 373 332 Elo: 13.7 | 383 342 Elo: 14.7 | 389 334 Elo: 14 | 392 326 Elo: 13.1 | 349 285 Elo: 12.2 | 416 288 Elo: 4.3 | 352 236 Elo: 0.5 | 428 282 Elo: 5.8 | First word XI 3.7 / 20.3 | ||

351 267 Elo: 5.9 | 348 339 Elo: 13.5 | Elo: 4521 | 356 269 Elo: 11.8 | 406 297 Elo: 10.8 | 342 274 Elo: 8.6 | 403 384 Elo: 9.4 | 313 305 Elo: 10.8 | 350 250 Elo: 5.3 | 350 252 Elo: 0.6 | 401 382 Elo: 19.2 | Not started Elo: | ||

331 275 Elo: 18.3 | 373 332 Elo: 13.7 | 356 269 Elo: 11.8 | Elo: 4514 | 381 319 Elo: 13 | 330 327 Elo: 15.6 | 317 295 Elo: 9.2 | 359 314 Elo: 13.5 | 333 284 Elo: 5.4 | 359 191 Elo: 0.6 | 360 335 Elo: 4.7 | First word HEADY 4.7 / 19.3 | ||

359 284 Elo: 19 | 383 342 Elo: 14.7 | 406 297 Elo: 10.8 | 381 319 Elo: 13 | Elo: 4485 | 354 316 Elo: 7.5 | 423 302 Elo: 15.7 | First word SPY 14.5 / 9.5 | 305 268 Elo: 6.2 | 313 292 Elo: 23.3 | 378 283 Elo: 19.9 | 206 148 Elo: 5.3 | ||

421 327 Elo: 8.8 | 389 334 Elo: 14 | 342 274 Elo: 8.6 | 330 327 Elo: 15.6 | 354 316 Elo: 7.5 | Elo: 4621 | 369 285 Elo: 12.9 | 318 311 Elo: 14.2 | 388 307 Elo: 3.3 | 365 227 Elo: 0.3 | 381 295 Elo: 7.4 | First word THANKEE 2.8 / 21.2 | ||

First word WEE 16 / 8 | 392 326 Elo: 13.1 | 403 384 Elo: 9.4 | 317 295 Elo: 9.2 | 423 302 Elo: 15.7 | 369 285 Elo: 12.9 | Elo: 4596 | 332 289 Elo: 10.7 | 349 263 Elo: 3.7 | 389 169 Elo: 0.4 | 374 317 Elo: 17.3 | First word WADE 3.2 / 20.8 | ||

395 329 Elo: 6.9 | 349 285 Elo: 12.2 | 313 305 Elo: 10.8 | 359 314 Elo: 13.5 | First word SPY 9.5 / 14.5 | 318 311 Elo: 14.2 | 332 289 Elo: 10.7 | Elo: 4557 | 323 291 Elo: 4.5 | 360 169 Elo: 0.5 | 323 280 Elo: 5.7 | First word AIR 3.8 / 20.2 | ||

393 301 Elo: 2 | 416 288 Elo: 4.3 | 350 250 Elo: 5.3 | 333 284 Elo: 5.4 | 305 268 Elo: 6.2 | 388 307 Elo: 3.3 | 349 263 Elo: 3.7 | 323 291 Elo: 4.5 | Elo: 4301 | 306 251 Elo: 22 | 339 277 Elo: 22.4 | drew with 308-308 Elo: 1 to undefined u | ||

336 252 Elo: 0.2 | 352 236 Elo: 0.5 | 350 252 Elo: 0.6 | 359 191 Elo: 0.6 | 313 292 Elo: 23.3 | 365 227 Elo: 0.3 | 389 169 Elo: 0.4 | 360 169 Elo: 0.5 | 306 251 Elo: 22 | Elo: 3883 | 371 214 Elo: 0.2 | 316 188 Elo: 2.4 | ||

389 271 Elo: 13.5 | 428 282 Elo: 5.8 | 401 382 Elo: 19.2 | 360 335 Elo: 4.7 | 378 283 Elo: 19.9 | 381 295 Elo: 7.4 | 374 317 Elo: 17.3 | 323 280 Elo: 5.7 | 339 277 Elo: 22.4 | 371 214 Elo: 0.2 | Elo: 4761 | 183 90 Elo: 1.3 | ||

First word PASS 22.3 / 1.7 | First word XI 20.3 / 3.7 | Not started Elo: | First word HEADY 19.3 / 4.7 | 206 148 Elo: 5.3 | First word THANKEE 21.2 / 2.8 | First word WADE 20.8 / 3.2 | First word AIR 20.2 / 3.8 | drew with 308-308 Elo: 1.1 to undefined u | 316 188 Elo: 2.4 | 183 90 Elo: 1.3 | Elo: 4268 | ||

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.