for
Craig Saunders

USATT#: 94840

##### Introduction
This page explains how Craig Saunders (USATT# 94840)'s rating went from 1731 to 1710 at the 20th Annual North American Team Championship Powered By JOOLA held on 24 Nov 2017 - 26 Nov 2017. 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 Craig Saunders for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
1731 1694 1731 1731 1710

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 936 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 20th Annual North American Team Championship Powered By JOOLA held on 24 Nov 2017 - 26 Nov 2017 for Craig Saunders, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
1731 2016 US Open 12 Dec 2016 17 Dec 2016

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

##### Craig Saunders's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
333 EXPECTED 0 Craig Saunders 94840 1731 Carl Zhou 203213 1398
124 EXPECTED 3 Craig Saunders 94840 1731 Gao Sun 34690 1607
600 EXPECTED 0 Craig Saunders 94840 1731 Keith Veizer 90552 1131
313 EXPECTED 0 Craig Saunders 94840 1731 Tony Tzeng 96867 1418
101 EXPECTED 4 Craig Saunders 94840 1731 Aarush Yagnik 217582 1630
65 EXPECTED 5 Craig Saunders 94840 1731 Jim Mossberg 8515 1666
8 EXPECTED 8 Craig Saunders 94840 1731 Peter Gaidarev 92458 1723
256 EXPECTED 0 Craig Saunders 94840 1731 Jonathan Lian 81021 1475
356 EXPECTED 0 Craig Saunders 94840 1731 Charles He 203210 1375

##### Craig Saunders's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
177 UPSET -35 Jia Guo 88659 1554 Craig Saunders 94840 1731
72 EXPECTED -5 Rey Sotero 76208 1803 Craig Saunders 94840 1731
0 -0 Kevin Lui 928281 0 Craig Saunders 94840 0
8 EXPECTED -8 Ryan Robinson 84658 1739 Craig Saunders 94840 1731
197 EXPECTED -1 Jonathan Lamp 72970 1928 Craig Saunders 94840 1731
147 EXPECTED -2 Junghoon Kim 49360 1878 Craig Saunders 94840 1731
72 EXPECTED -5 Kevin Ou 94626 1803 Craig Saunders 94840 1731
188 EXPECTED -1 Ainish Dassarma 92213 1919 Craig Saunders 94840 1731