for
Cheng Wang

USATT#: 215724 | Coach Level: Level 1

##### Introduction
This page explains how Cheng Wang (USATT# 215724)'s rating went from 2383 to 2415 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 Cheng Wang for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
2383 2410 2383 2383 2415

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 Cheng Wang, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
2383 Westchester November 2019 Open 23 Nov 2019 24 Nov 2019

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 Cheng Wang's match results and applying the point exchange table, gives us the following result:

##### Cheng Wang's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
43 EXPECTED 6 Cheng Wang 215724 2383 Alex Averin 81774 2340
121 EXPECTED 3 Cheng Wang 215724 2383 Charlie JT Wang 94523 2262
162 UPSET 30 Cheng Wang 215724 2383 Antoine Bernadet 84478 2545
110 EXPECTED 4 Cheng Wang 215724 2383 Angela Zhang 86736 2273
0 0 Cheng Wang 215724 0 Mingxuan Nie 267125 0
227 EXPECTED 1 Cheng Wang 215724 2383 Emily Quan 202992 2156
179 EXPECTED 2 Cheng Wang 215724 2383 Stanley Hsu 97890 2204

##### Cheng Wang's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
165 EXPECTED -2 AI GE HE 1166626 2548 Cheng Wang 215724 2383
395 EXPECTED -0 Wenzhang Tao 87343 2778 Cheng Wang 215724 2383
128 EXPECTED -3 Chance E Friend 31426 2511 Cheng Wang 215724 2383
307 EXPECTED -0 Jinbao Ma 220283 2690 Cheng Wang 215724 2383
0 UPSET -8 Tommy Xu 201568 2383 Cheng Wang 215724 2383
61 EXPECTED -6 Marko Medjugorac 78926 2444 Cheng Wang 215724 2383