for
Patrick Xie

USATT#: 221529

##### Introduction
This page explains how Patrick Xie (USATT# 221529)'s rating went from 1208 to 1450 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 Patrick Xie for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
1208 1193 1208 1267 1450

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 Patrick Xie, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
1208 Trolley Car TTC November 2019 Open 16 Nov 2019 16 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 Patrick Xie's match results and applying the point exchange table, gives us the following result:

##### Patrick Xie's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
226 EXPECTED 1 Patrick Xie 221529 1208 Andrew Ji 95857 982
186 UPSET 35 Patrick Xie 221529 1208 Franklin Cao 265090 1394
167 UPSET 35 Patrick Xie 221529 1208 Mohandeep Kapur 217970 1375
990 EXPECTED 0 Patrick Xie 221529 1208 Eshaan Debnath 223725 218
0 0 Patrick Xie 221529 0 Madeline Chang 266327 0
153 EXPECTED 2 Patrick Xie 221529 1208 Nidal Ilyas 223530 1055
228 UPSET 45 Patrick Xie 221529 1208 Randy Stoddard 202382 1436
0 0 Patrick Xie 221529 0 Geovanni Quiñones 1168837 0
0 0 Patrick Xie 221529 0 Josian Pagan 1168834 0
64 UPSET 16 Patrick Xie 221529 1208 Christine Cha 218348 1272
450 EXPECTED 0 Patrick Xie 221529 1208 Jason M Liu 263284 758
362 EXPECTED 0 Patrick Xie 221529 1208 Geetha Krishna 224135 846
282 EXPECTED 0 Patrick Xie 221529 1208 Jane X. Zhang 198374 926
55 UPSET 13 Patrick Xie 221529 1208 Jeffry D. D. Schultz 78166 1263
48 UPSET 13 Patrick Xie 221529 1208 Anmol Karan 222249 1256
31 EXPECTED 7 Patrick Xie 221529 1208 Kevin Ku 98040 1177

##### Patrick Xie's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
327 UPSET -50 Chloe Lee 265321 881 Patrick Xie 221529 1208
30 UPSET -10 Richard Cho 265088 1178 Patrick Xie 221529 1208
351 EXPECTED -0 Shiv Kulkarni 221098 1559 Patrick Xie 221529 1208