for
Daniel Green

USATT#: 6231 | Coach Level: Club | Certified Umpire

##### Introduction
This page explains how Daniel Green (USATT# 6231)'s rating went from 1861 to 1855 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 Daniel Green for this tournament.

Initial Rating Pass 1 Pass 2 Pass 3 Final Rating (Pass 4)
1861 1823 1861 1861 1855

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 Daniel Green, and its source tournament are as follows:
Initial Rating From Tournament Start Day End Day
1861 HCTT Circuit 2017 4 Mar 2017 4 Mar 2017

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

##### Daniel Green's Wins
Winner Loser
Point Spread Outcome Gain Player USATT # Rating Player USATT # Rating
0 0 Daniel Green 6231 0 Jane Gao 220793 0
697 EXPECTED 0 Daniel Green 6231 1861 Justin You 218166 1164
31 UPSET 10 Daniel Green 6231 1861 Axel Vega 92695 1892
64 EXPECTED 5 Daniel Green 6231 1861 William Duong 82004 1797
1 UPSET 8 Daniel Green 6231 1861 Justin Chen 78261 1862

##### Daniel Green's Losses
Winner Loser
Point Spread Outcome Loss Player USATT # Rating Player USATT # Rating
104 EXPECTED -4 Leonid Sukher 79106 1965 Daniel Green 6231 1861
30 EXPECTED -7 Jim Mcqueen 8260 1891 Daniel Green 6231 1861
11 EXPECTED -8 Connor Y Lee 197388 1872 Daniel Green 6231 1861
81 UPSET -16 Alexis Frederick 215549 1780 Daniel Green 6231 1861
107 UPSET -20 David Montminy 215548 1754 Daniel Green 6231 1861
132 EXPECTED -3 William Bernier 215551 1993 Daniel Green 6231 1861
204 EXPECTED -1 Miguel Gonzalez 92701 2065 Daniel Green 6231 1861
146 EXPECTED -2 Jan M. Gonzalez 98296 2007 Daniel Green 6231 1861