for
Ananya Chopra

USATT#: 212807

##### Introduction
This page explains how Ananya Chopra (USATT# 212807)'s rating went from 1715 to 1936 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 Ananya Chopra for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
1715 2013 1715 1963 1936

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 Ananya Chopra, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
1715 LYTTC Joola November Open 9 Nov 2019 9 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 Ananya Chopra's match results and applying the point exchange table, gives us the following result:

##### Ananya Chopra's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
29 EXPECTED 7 Ananya Chopra 212807 1715 Mohit Shah 83352 1686
80 EXPECTED 5 Ananya Chopra 212807 1715 Michael A Clarke 57828 1635
147 UPSET 30 Ananya Chopra 212807 1715 Enrique Matta 15327 1862
194 UPSET 40 Ananya Chopra 212807 1715 John W Potter 10393 1909
62 UPSET 13 Ananya Chopra 212807 1715 Guang Cheng Hou 95384 1777
104 EXPECTED 4 Ananya Chopra 212807 1715 Luis D Barbosa 1132340 1611
442 EXPECTED 0 Ananya Chopra 212807 1715 Sebahstian Rosario 1132381 1273
186 UPSET 35 Ananya Chopra 212807 1715 Jiang Li 86652 1901
121 UPSET 25 Ananya Chopra 212807 1715 Fangxing (Fran) Li 26027 1836
162 UPSET 30 Ananya Chopra 212807 1715 Ling Fan 73523 1877
449 EXPECTED 0 Ananya Chopra 212807 1715 Keith Veizer 90552 1266
101 UPSET 20 Ananya Chopra 212807 1715 Tony Tzeng 96867 1816
83 EXPECTED 5 Ananya Chopra 212807 1715 Rory Liu 214640 1632
43 UPSET 13 Ananya Chopra 212807 1715 Austin Duenas 88909 1758
101 UPSET 20 Ananya Chopra 212807 1715 Wayne Ming Chin 48742 1816
29 EXPECTED 7 Ananya Chopra 212807 1715 Eric Wu 94072 1686
65 UPSET 16 Ananya Chopra 212807 1715 Nehemiah Yu 221313 1780
135 UPSET 25 Ananya Chopra 212807 1715 Jasmine Lo 94080 1850
14 UPSET 10 Ananya Chopra 212807 1715 Éliana Magni 218170 1729
0 0 Ananya Chopra 212807 0 Alice Provencher 1168836 0

##### Ananya Chopra's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
125 EXPECTED -3 Frank Cinerari 84485 1840 Ananya Chopra 212807 1715
271 EXPECTED -0 Laurent Jutras-Vigneaul 1165674 1986 Ananya Chopra 212807 1715
160 EXPECTED -2 Emily Li Sang 223159 1875 Ananya Chopra 212807 1715
166 EXPECTED -2 Jonathan Cai 216419 1881 Ananya Chopra 212807 1715
244 EXPECTED -0 Sho Miyazaki 95249 1959 Ananya Chopra 212807 1715