for
Will Shortz

USATT#: 46018

##### Introduction
This page explains how Will Shortz (USATT# 46018)'s rating went from 1788 to 1398 at the 2019 JOOLA North American Teams held on 29 Nov 2019 - 1 Dec 2019. These ratings are calculated by the ratings processor which goes through 4 passes over the match results data for a tournament. The following values are produced at the end of each of the 4 passes of the ratings processor for Will Shortz for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
1788 1328 1788 1788 1398

You can click here to view a table of all the resultant values from each of the 4 passes (and the initial rating) of the ratings processor for all of the 1031 players in this tournament. Sections below for further details on the initial rating and the 4 passes of the ratings processor.

Note: We use mathematical notation to express the exact operations carried out in each pass of the ratings processor below. Whenever you see a variable/symbol such as for example ${X}_{i}^{3}$, we are following the convention that the superscript part of the variable (in this case "3") indicates an index (such as in a series), and it should not be misconstrued to be an exponent (which is how it is used by default).

##### Initial Rating
The initial rating of a player for a tournament is the rating the player received at the end of the most recent tournament prior to the current tournament. If this is the first tournament the player has ever participated in (based on our records), then the player has no initial rating.

The initial rating for 2019 JOOLA North American Teams held on 29 Nov 2019 - 1 Dec 2019 for Will Shortz, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
1788 JOOLA North American Teams 23 Nov 2018 25 Nov 2018

Click here to view the details of the initial ratings for all the players in this tournament.

##### Pass 1 Rating
In Pass 1, we only consider all the players that come into this tournament with an initial rating while ignoring all the unrated players. If a rated player has a match against an unrated player, then that match result is ignored from the pass 1 calculations as well. We apply the point exchange table shown below to all the matches participated in by the rated players:

Point Spread Expected Result Upset Result
0 - 12 8 8
13 - 37 7 10
38 - 62 6 13
63 - 87 5 16
88 - 112 4 20
113 - 137 3 25
138 - 162 2 30
163 - 187 2 35
188 - 212 1 40
213 - 237 1 45
238 and up 0 50

Suppose player A has an initial rating of 2000 and player B has an initial rating of 2064, and they played a match against each other. When computing the impact of this match on their rating, the "Point Spread" (as it is referred to in the table above) between these two players is the absolute value of the difference their initial ratings. When the player with the higher rating wins, presumably the better player won, which is the expected outcome of a match, and therefore the "Expected Result" column applies. If the player with the lower rating wins the match, then presumably this is not expected, and therfore it is deemed as an "Upset Result" and the value from that column in the table above is used. So, in our example of player A vs player B, if player B wins the watch, then the expected outcome happens, and 5 points are added to player B's rating and 5 points are deducted from player A's rating. Looking at Will Shortz's match results and applying the point exchange table, gives us the following result:

##### Will Shortz's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
391 EXPECTED 0 Will Shortz 46018 1788 Timothy Peng 96145 1397

##### Will Shortz's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
91 EXPECTED -4 Daymar Castro 230652 1879 Will Shortz 46018 1788
207 EXPECTED -1 Alahia Medina Garcia 230934 1995 Will Shortz 46018 1788
392 UPSET -50 Brian Zhou 198373 1396 Will Shortz 46018 1788
299 UPSET -50 Richard Zhang 92226 1489 Will Shortz 46018 1788
508 UPSET -50 Gilianie Avila 1131655 1280 Will Shortz 46018 1788
151 UPSET -30 Isaac Perez 1132415 1637 Will Shortz 46018 1788
128 UPSET -25 Jerall Montijo 1132341 1660 Will Shortz 46018 1788